Partial dental arch and method for manufacturing a partial arch

Abstract

A partial dental arch is provided with dentin material and with cutting material and a boundary area therebetween. It includes a primary-position tooth region and additional tooth regions which are arranged more distally. A wavy structure of the boundary area is provided whose amplitude—when viewed in the distal direction—decreases in at least one section of the mesial-distal and/or occlusal-gingival extension, in particular with regard to the occlusal-gingival direction.

Claims

1. A partial dental arch blank for producing a finished partial dental arch final prosthesis having individual teeth produced by milling said dental arch blank, comprising a primary-position tooth region and additional tooth regions which are arranged more distally, the primary-position tooth region and additional tooth regions corresponding to individual teeth in the final prosthesis, wherein the partial dental arch blank is fabricated of a dentin material and an enamel material, wherein the dentin material has a boundary surface in contact with the enamel material, wherein the boundary surface comprises a wavy structure having a physical amplitude, when viewed in the distal direction, which distal direction is parallel to an X-axis in a Cartesian coordinate system, decreases in at least one section along the X-axis in a mesial-distal direction and/or along a direction parallel to a Y-axis in an occlusal-gingival extension, wherein the dentin material (30) comprises a lingual/palatal dentin material ridge and a vestibular dentin material ridge both which along the X-axis exhibit a waviness, and wherein the waviness of the vestibular dentin material ridge is at least 10 times larger than the waviness of the lingual/palatal dentin material ridge, wherein the dentin material (30) is configured integrally with indentations at tooth transitions, the wavy structure of the boundary surface comprises a plurality of wave crests at the tooth regions and a plurality of wave troughs at the tooth transitions.

2. The partial dental arch blank as claimed in claim 1, wherein a size of an indentation between the primary-position tooth region and a secondary-position tooth region, when viewed from the occlusal direction, is larger than a size of an indentation at subsequent tooth transitions, and wherein the size of the indentation of the dentin material has a depth 10 to 30 percent of a depth of tooth regions on either side of the indentations when viewed along a direction parallel to a Z-axis in a lingual/palatal-vestibular direction.

3. The partial dental arch blank as claimed in claim 1, wherein a fossa is an occlusal surface that extends between a vestibular dentin material ridge and a lingual/palatal dentin material ridge, said fossa being confined by the primary-position tooth region and wherein said fossa has a physical width that increases when viewed in the distal direction along the X-axis and a physical depth that decreases when viewed in the distal direction along the X-axis.

4. The partial dental arch blank as claimed in claim 1, wherein the primary-position tooth region of the dentin material (30) is convex in a mesial part of the primary-position tooth region to achieve a layer of the enamel material (32).

5. The partial dental arch blank as claimed in claim 2, wherein the enamel material (32) comprises a thickness of up to 1 millimeter above the boundary surface at the tooth transitions and is smaller in thickness (32) at the tooth regions in comparison to the tooth transitions.

6. The partial dental arch blank as claimed in claim 2, wherein the boundary surface of the dentin material (30) is wavy when viewed in the vestibular direction at a vestibular side flank of a dentin material ridge, wherein wave troughs at the indentations alternate with wave crests at the tooth regions and a depth of the wave troughs and a height of the wave crests decrease when viewed in the distal direction along the X-axis.

7. The partial dental arch blank as claimed in claim 1, wherein a surface close to an occlusion side of the dentin material spanned by ridges of the dentin material (30) is tilted with respect to the plane parallel to the x-axis, such that the occlusion side extends a distance to a curve of Wilson or Monson to provide accurate curvature relative to a jaw bone curvature.

8. The partial dental arch blank as claimed in claim 1, wherein the partial dental arch blank is capable of being fabricated into the finished partial dental arch final prosthesis, said finished partial dental arch final prosthesis comprising a milled partial dental arch milled from the partial dental arch blank having milled enamel material (32) which covers the dentin material (30) and covers every tooth region with a layer, and wherein the milled enamel material has a layer thickness gradient which corresponds to a decrease of layer thickness in the gingival direction of between 20 and 80 percent of the milled partial dental arch blank.

9. The partial dental arch blank as claimed in claim 8, wherein the milled partial dental arch is configured into an upper jaw partial dental arch and/or a lower jaw partial dental arch, a dentin material shape is used for the upper or lower jaw partial arch and said upper or lower jaw partial arch is vertically mirrored to provide an opposing partial arch.

10. The partial dental arch blank as claimed in claim 1, wherein translucency of the dentin material (30) differs from translucency of the enamel material (32) by between 30 and 50 percent.

11. The partial dental arch blank as claimed in claim 1, wherein brightness at the boundary surface in contact with the enamel material differs from brightness of the enamel material (32) by between 10 and 30 percent.

12. The partial dental arch blank as claimed in claim 1, is fabricated from a dentin material blank and an enamel material blank, wherein the dentin material blank is selected from a blank having a block size configured for between 2 and 14 teeth, and wherein gingival sides of the dentin material (30) blank are free from recesses.

13. The partial dental arch blank as claimed in claim 1, wherein the dentin material (30) of the partial dental arch blank comprises a bent or curved shape when viewed from the occlusal direction.

14. A partial dental arch blank for producing a finished partial dental arch final prosthesis having individual teeth produced by milling said dental arch blank, comprising a primary-position tooth region and additional tooth regions which are arranged more distally, the primary-position tooth region and additional tooth regions corresponding to individual teeth in the final prosthesis, wherein the partial dental arch blank is fabricated of a dentin material and an enamel material, wherein the partial dental arch blank comprises a translucent intermediate layer formed between a boundary surface of the dentin material and the enamel material layer, wherein the boundary surface comprises a wavy structure having a physical amplitude, when viewed in the distal direction, which distal direction is parallel to an X-axis in a Cartesian coordinate system, decreases in at least one section along the X-axis in a mesial-distal direction and/or along a direction parallel to a Y-axis in an occlusal-gingival extension, wherein the dentin material (30) comprises a lingual/palatal dentin material ridge and a vestibular dentin material ridge both which along the X-axis exhibit a waviness, and wherein the waviness of the vestibular dentin material ridge is at least 10 times larger than the waviness of the lingual/palatal dentin material ridge, wherein the dentin material (30) is configured integrally with indentations at tooth transitions, the wavy structure of the boundary surface comprises a plurality of wave crests at the tooth regions and a plurality of wave troughs at the tooth transitions.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) Further advantages, details and features will result from the following description of different embodiments of the invention in conjunction with the drawings

(2) FIG. 1 shows an overview of the tooth lines of the present application which were used for the provision of the virtual shapes of the boundary area by means of superimposition wherein the table on the left-hand side refers to the teeth 3 to 6 and the table on the right-hand side refers to the incisors;

(3) FIGS. 2 and 3 show exemplary illustrations of the teeth from FIG. 1 in the sequence 6-5-4-3 and 2-1;

(4) FIG. 4 shows illustrations of the teeth 3 to 6 in occlusion which have been considered during set-up;

(5) FIGS. 5 to 8 show exemplary illustrations of the set-up data after “superimposition” wherein the most mesial tooth (tooth 1) had the highest priority during alignment;

(6) FIGS. 9 to 12 show corresponding illustrations for the teeth 3 to 6;

(7) FIGS. 13 to 16 show printed set-up data corresponding to the original layers for the teeth 3 to 7, for the upper jaw and lower jaw, respectively;

(8) FIG. 17 shows a partial dental arch having a constructed connected layering for the teeth 3 to 7;

(9) FIGS. 18 to 22 show illustrations of partial dental arches for upper jaw and lower jaw teeth 1 and 2 with first connected layering (FIG. 22);

(10) FIGS. 23 and 24 show corresponding layer courses of the teeth 1 and 2 or 3 to 7, respectively, but which have been smoothened with respect to FIGS. 13 to 22, wherein the interdental spaces have been designed more homogeneously;

(11) FIGS. 25 and 26 show mirrored partial dental arches compared to FIGS. 23 and 24;

(12) FIGS. 27 and 28 show a modification of the layer courses according to FIGS. 23 and 24 with a shifted layer course and added colors;

(13) FIGS. 29a to 29f show illustrations of different dentin material boundary layers divided as 1-2 with 3-7 or 1-3 with 4-7, respectively;

(14) FIGS. 30a and 30b show illustrations of dentin material boundary layers additionally illustrating horizontally extending curves with antinodes of vibration;

(15) FIGS. 31a and 31b show illustrations of dental milling blanks in the shape of a disc, wherein from FIG. 31b layering courses of the boundary layer of the dentin material are already present;

(16) FIGS. 31c and 31d show further arrangement possibilities of partial dental arches in milling blanks in disc-shape;

(17) FIGS. 32a to 32c show further arrangement possibilities of the dentin material boundary area schematically illustrating the cutting material envelope;

(18) FIGS. 33a to 35 show further illustrations of the dentin material boundary area for use with any desired outer geometry;

(19) FIGS. 36 and 37 show illustrations for comparison of the original layering according to the existing tooth libraries with the layering using the inventive partial dental arches;

(20) FIGS. 38 and 39 show a slightly schematized view of the layering course during milling from partial dental arches to individual teeth, compared to the original individual teeth;

(21) FIG. 40 shows a view of a set of teeth using teeth which are produced from partial dental arches and divided into individual teeth, wherein the partial dental arches were divided into 1-2 left 1-2 right 3-7 left and 3-7 right according to FIG. 41;

(22) FIG. 41 shows the division of partial dental arches;

(23) FIGS. 42 and 43 show views of the tooth set-up similar to FIGS. 36 and 37 wherein a “best fit” shift with respect to tooth 1 or tooth 3, respectively, has been carried out;

(24) FIGS. 44a to 45b show schematic views of teeth produced from inventive partial dental arches, by showing the boundary area between the dentin and the cutting material;

(25) FIG. 46A shows a schematic view of a partial dental arch 1-2 illustrating 12 layers whose profile is apparent from FIG. 47;

(26) FIG. 46B shows the partial dental arch according to FIG. 46a in the mesial view, also illustrating the sections 1 to 12;

(27) FIGS. 47 and 47A show curves of the sections 1 to 12 from FIG. 46B in a preferred embodiment of the invention;

(28) FIGS. 48 and 48A show a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 46B;

(29) FIG. 49 shows a schematic illustration of the difference of the sections 1 to 12 from the FIGS. 47 and 48;

(30) FIG. 50A shows a partial dental arch for molar teeth in the upper jaw in a perspective illustration, illustrating 12 sections and their position;

(31) FIG. 50B shows the partial dental arch according to FIG. 50A in the mesial view;

(32) FIGS. 51, 51A, 51B, 51C and 51D show curves of the sections 1 to 12 from FIG. 50B corresponding to the position according to FIG. 50B;

(33) FIGS. 52, 52A, 52B, 52C and 52D show a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 50B;

(34) FIGS. 53, 53A, 53B, 53C and 53D show a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 50B;

(35) FIG. 54 shows a comparison of the sections from FIG. 51 and FIG. 52;

(36) FIG. 55 shows a comparison of the sections from FIG. 51 and FIG. 53;

(37) FIG. 56A shows an embodiment of the invention in an illustration according to FIG. 50A illustrating a partial dental arch for the teeth 3, 4, 5, 6 and 7 in the upper jaw;

(38) FIG. 56B shows a view of the partial dental arch in the embodiment according to FIG. 56A from the mesial view;

(39) FIGS. 57, 57A, 57B, 57C and 57D show a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 56B;

(40) FIGS. 58, 58A, 58B, 58C and 58D show a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 56B;

(41) FIGS. 59, 59A, 59B, 59C and 59D show a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 56B;

(42) FIG. 60 shows a comparison of the sections from FIG. 57 and FIG. 58;

(43) FIG. 61 shows a comparison of the sections from FIG. 57 and FIG. 59;

(44) FIG. 62A shows an embodiment of the invention in an illustration according to FIG. 50A illustrating a partial dental arch for the teeth 4, 5, 6 and 7 in the lower jaw;

(45) FIG. 62B shows a view of the partial dental arch in the embodiment according to FIG. 62A from the mesial view;

(46) FIGS. 63 and 63A show curves of the sections 1 to 12 from FIG. 62B corresponding to the position according to FIG. 62B;

(47) FIG. 64 shows a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 62B;

(48) FIG. 65 shows a comparison of the sections from FIG. 63 and FIG. 64;

(49) FIG. 66A shows an embodiment of the invention in an illustration according to FIG. 50A illustrating a partial dental arch for the teeth 3, 4, 5, 6 and 7 in the lower jaw;

(50) FIG. 66B shows a view of the partial dental arch in the embodiment according to FIG. 66A from the mesial view;

(51) FIGS. 67 and 67A show curves of the sections 1 to 12 from FIG. 66B corresponding to the position according to FIG. 66B;

(52) FIG. 68 shows a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 66B;

(53) FIG. 69 shows a further embodiment of an inventive partial dental arch illustrating 12 sections, corresponding to the position according to FIG. 66B;

(54) FIG. 70 shows a comparison of the sections from FIG. 67 and FIG. 68; and

(55) FIG. 71 shows a comparison of the sections from FIG. 67 and FIG. 69.

DETAILED DESCRIPTION

(56) The tooth types are apparent from the overview according to FIG. 1 which were used in one embodiment of the invention to produce the superimposed partial dental arches.

(57) Basically, the tooth lines SR Phonares and S-PE were used, namely different types thereof. On the one hand Phonares lingual and on the other hand Phonares Typ were used. The letter U indicated at the second position means that the respective set of teeth is provided for the upper jaw, and the corresponding letter L means that the set of teeth is provided for the lower jaw.

(58) “3”, “5” and “6” refers to the size of the tooth.

(59) The meaning of the letters L and U and of the numbers 3, 4, 5 and 6 also holds true analogously for the two further tooth lines “Phonares Typ” and “S-PE”.

(60) While the left part of the table from FIG. 1 relates to molars and premolars (teeth 3, 4, 5, 6 and 7), the right part relates to incisors, wherein here, too, different shapes of teeth of Phonares B61 to S-PE A09 were selected from the present tooth library separated into upper jaw teeth and lower jaw teeth and provided for the production of partial dental shapes from the superimposition.

(61) Exemplarily, FIG. 2 shows molars and premolars illustrated in the vestibular view, with the molars 10 and 12 (tooth positions 7 and 6) and further with the premolars 14 and 16 according to the tooth positions 5 and 4.

(62) Analogously, FIG. 3 illustrates incisors 18 and 20 which each correspond to the positions 2 and 1.

(63) Matching lower jaw teeth are selected from the tooth library for these upper jaw teeth, and a functional set-up is carried out according to FIG. 4, wherein the opposing teeth are illustrated in occlusion in FIG. 4.

(64) A corresponding functional set-up is also carried out for the incisors 1 and 2.

(65) In the next production step, the shapes of the teeth are superimposed on each other. Here, this is explained based on the FIGS. 5 to 8 for the teeth 1 and 2.

(66) Basically, it is apparent from FIG. 5 how tooth shapes of different tooth lines for the teeth 1 and 2 were superimposed on each other.

(67) Only the outer shape of the raw partial dental arch constructed in this way is apparent from FIG. 5 but it is to be understood that the same also holds true for the boundary area of dentin/cutting material of which superimpositions are also produced and particularly from 10 percent to 3 percent.

(68) Now, higher priority is given to the tooth 10 illustrated on the left-hand side in FIG. 5 during alignment. It represents the primary-position tooth region. It is apparent that on the lingual side between the teeth 10 and 18 a concavity 22 is provided which basically indicates an interdental space.

(69) FIG. 6, FIG. 7 and FIG. 8 show the raw partial dental arch 24 in the mesial view (FIG. 6), in the vestibular view (FIG. 7) and in the lingual view (FIG. 8).

(70) A corresponding raw partial dental arch 24 for the molars is apparent from FIGS. 9 to 12. Here, in turn, FIG. 9 shows the vestibular view, FIG. 10 the occlusal view, FIG. 11 the lingual view and FIG. 12 the mesial view of the raw partial dental arch 24. Here, the highest priority is given to the tooth 26 with the tooth position 3. Here, it represents the primary-position tooth region.

(71) It is apparent that the tooth 26 is limited clearly with respect to the tooth 16 based on the mentioned superimposition which starts with the tooth 26 for different sizes and tooth shapes, while the interdental spaces in case of the following teeth 14, 12 and 10 become more and more blurred and may only be recognized suggestively for instance between the teeth 12 and 10.

(72) As is apparent, the superimposition creates numerous recesses and protrusions which are basically not very suitable as a basis for a universally insertable partial dental arch.

(73) This holds true particularly for the cutting material, while irregularities of this kind are less relevant for the dentin material.

(74) The set-up data collected both with respect to the incisors and with respect to the molars will now be used further. This is illustrated schematically in the FIGS. 13 to 17. It is apparent on the basis of the tooth 26 that the dentin material 30 thereat basically renders an original tooth shape, and is applied on this cutting material 32 with a layer thickness which increases slightly towards the incisal region but is substantially uniform. The dentin material and thus also its boundary area towards the cutting material may be produced based on a mathematical reduction of the interlocked outer geometry of the tooth.

(75) Based on a substantially uniform layer thickness, a connected layering is now constructed in the cutting material according to FIG. 17. It indicates clearly the interdental spaces 34. There, the dentin material may possibly protrude.

(76) The layering for the incisors is provided along the same lines, as is apparent from FIGS. 18 to 22, wherein, here too, a transition is created between the teeth 18 and 20 by means of the inventive wavy structure, and thus interlocking is achieved.

(77) A partial dental arch interlocked in this way is particularly suitable as a milling blank.

(78) It is to be understood that the steps illustrated herein all relate to the draft phase, that is to say that a virtual cutting material etc. is present in this respect.

(79) The present results in accordance with the FIGS. 17 and 22 will then be smoothened incisally or occlusally as well as labially or buccally. In addition, the transition corresponding to the interdental spaces 34 is configured as a wave trough such that altogether a buccal wave shape or wavy structure is provided at least in the incisally-close or occlusally-close region of the partial dental arch when viewed from the occlusal direction. This holds true particularly for the vestibular tooth ridge while the wavy structure of the lingual tooth ridge is considerably less distinct.

(80) The results obtained in this way according to the FIGS. 23 and 24 are now mirrored according to the FIGS. 25 and 26 for the other half of the prosthesis, respectively, as is apparent from the FIGS. 25 and 26.

(81) In accordance with FIGS. 27 and 28 the layer course is additionally set off. Between the translucent cutting material 32 and the opaque dentin material 30 an additional transition material 36 is inserted, and in this respect a reduction of the dentin material boundary layer between the dentin material 30 and the transition material 36 takes place at least with respect to the originally constructed raw partial dental arches.

(82) As is apparent from the FIGS. 27 and 28, a certain homogenization of the layer thickness of the cutting material 32 takes places additionally.

(83) Alternatively to the division 12-34567 illustrated herein, as is also expressed in the FIGS. 29a and 29b, it is also possibly to make another division. According to FIG. 29c, the teeth are divided as follows: 123-4567, and according to FIG. 29e the teeth are divided as follows: 321123-4567.

(84) For mathematical processing, a layer detection of the respectively existing horizontal profiles takes places, as is apparent from FIG. 30a and FIG. 30b.

(85) According to the FIGS. 31 and 32, different production possibilities for the inventive partial dental arches are apparent. Initially, a commercially available blank according to FIG. 31a may be used which comprises the shape of a disc and a diameter of almost 100 mm. Within it, partial dental arches may be accommodated in any desired manner according to the FIGS. 31b and 31c. The blank may consist of dental plastic material, composite material or ceramic material.

(86) According to FIG. 31d, the blank is illustrated to have a ring-shape which is particularly suitable for the accommodation of partial dental arches 1-2.

(87) It is also possible to realize a holding pin 40 with the FIGS. 32a and 32b or according to FIG. 32c which serves as a basis for mounting during milling.

(88) FIGS. 33a and 33b, 34 and 35 show different types of accommodation of partial dental arches in different blanks.

(89) During set-up, the positioning upon completion is realized according to FIGS. 36 and 37 such that the layering is as close as possible to the target layering. In each case, the tooth arranged most mesially is used as a basis for positioning.

(90) Now, the partial dental arch produced by standard layering is milled in a way known per se such that the layering is as close as possible to the original. This is apparent from the FIGS. 38 and 39.

(91) It is also possible to realize the “best fit” of the selected interlocking of the tooth parts by software, for instance similar to the least squares method. In doing so, of course the primary tooth position has to be provided with a higher weighting than the secondary tooth position and further positions.

(92) A correspondingly produced prosthesis already equipped with teeth is apparent from FIG. 40. It is apparent that tooth material, here dentin material, remains in the transition area between the interdental spaces. It is typically darker than cutting material such that the aesthetical effect is similar to that of individual teeth.

(93) According to FIG. 41 any splitting is possible. Here, the teeth 12 and 11 on the one hand, and 13 to 17 or 23 to 27 on the other hand are each summarized in one partial dental shape.

(94) The same holds true for the teeth of the lower jaw.

(95) When setting-up the teeth the “best fit” is also taken into consideration with respect to occlusion. This is done virtually, that is to say before the actual milling process. This is to be indicated by the FIGS. 42 and 43. In this respect, occlusion corresponds to that illustrated in FIG. 4.

(96) The inventive teeth comprise a comparatively high share of cutting material of 15 to 35 percent such that 75 percent of dentin material remain, provided that the structure is made of two layers. The share of dentin material is correspondingly lower when the structure comprises three or more layers. This is apparent schematically from the FIGS. 44a to 45b.

(97) The mathematical design of partial dental arches is described as follows on the basis of FIGS. 46a to 61.

(98) FIG. 46a shows a partial dental arch for the teeth 1 and 2. The layer orientation, as is described in FIG. 47, is apparent from FIG. 46b. For anterior teeth, the layer orientation is equal in the upper jaw and in the lower jaw.

(99) The section 01 from FIG. 47 is described exemplarily thereof: The section line may be defined as a succession of circular arches which altogether produce the inventive wavy structure—when viewed substantially in a plane parallel to occlusion as far as the section lines 01 to 06 are concerned:

(100) The center of the circle of a circular arch which is referred to as the fourth circular arch herein with the radius R8.27—expressed in mm—represents the primal source. It is positioned above the section line which is referred to as curve herein. In the drawing, the values Delta X=7.35 and Delta Y=23.47 are assigned to this point. The next center of the circular arch which is that of the third circular arch is shifted to the left by 7.35 mm and to the bottom by 23.47 mm compared to the primal source. The point of inflection of the curve is the intersection of the curve with the straight line connecting these two centers of the circular arch.

(101) This third circular arch comprises a radius of 16.33 mm as is indicated in FIG. 47 as R16.33. It is evidently below the curve.

(102) With the Delta X and the Delta Y values of −11.95 and −21.46 the second center of the circular arch is shifted by corresponding mm values to the top and to the right with regard to the third center of the circular arch.

(103) The second circular arch comprises a radius of R8.24, that is to say 8.24 mm, and is positioned above the curve.

(104) The center of the first circular arch is shifted to the left by 0.72 mm in the X-direction and to the bottom by 3.02 mm in the Y-direction compared to the second center of the circular arch, corresponding to the Delta values X=+0.72 and Y=+3.02. It is also positioned above the curve.

(105) As is apparent, the first circular arch has a radius of 5.13 mm, corresponding to R5.13.

(106) In this respect, the first circular arch starts on the right-hand side in FIG. 47 (radius 5.13 and x=y=z=0). The second circular arch has a radius of 8.24 and is shifted by x=0.72 and y=3.02 compared thereto. The third circular arch with a radius of 16.33 is shifted with respect to the second radius center by −11.94 or −21.46, respectively. The first circular arch of the second section positioned above is shifted by x, y, z with respect to it (in this case by −0.24 or 0.26 (and z=1.50)). The following circular arches of the section again relate to the last center in every case and do not have any shifting out of the drawing plane and thus a z of 0.

(107) At the same time, the first and second circular arches form the primary-position tooth region, while the fourth circular arch surrounds the secondary-position tooth region, and the third circular arch corresponds to the necking positioned therebetween—in this respect to the later interdental space.

(108) The following eleven section lines, and also those of the further embodiments, are dimensioned in accordance with this method, and the dimensions are always entered into the drawings.

(109) The section lines 07 and 08 each show the curve courses of the dentin material milling blank, when viewed transversely across the vestibular dentin material ridge, in different angles as is apparent from FIG. 46b, and the section lines 09 to 12 each show curve courses in a plane parallel to the mesial-distal orientation of the incisors.

(110) The sections 1 to 12 apparent from FIGS. 47 and 47a show a comparatively intensely structured partial dental arch having a correspondingly more distinct wavy structure which may be considered as optimum wavy structure.

(111) The sections 1 to 12 apparent from FIGS. 48 and 48a show a comparatively less intensely structured partial dental arch having a correspondingly less distinct wavy structure which may be used as a milling blank in this respect. This solution may be produced more easily and offers a result which is—almost—as good for the primary-position tooth region but an aesthetically slightly less appealing result for the next tooth.

(112) For clarification, the curves of the sections from the FIGS. 47 and 48 are entered one above the other in FIG. 49.

(113) The same holds true for FIG. 50a et seq. for a molar partial dental arch with the teeth 4-5-6-7.

(114) FIG. 50a shows a partial dental arch for the teeth 4 to 7 in the upper jaw. The layer orientation, as is described in FIG. 51, is apparent from FIG. 50b.

(115) The sections 1 to 12 apparent from FIGS. 51 to 51d show a comparatively intensely structured partial dental arch having a correspondingly more distinct wavy structure.

(116) The sections 1 to 12 apparent from FIGS. 52 to 52d show a comparatively less intensely structured partial dental arch having a correspondingly less distinct wavy structure which may be used as a milling blank alternatively in this respect.

(117) A partial dental arch modified compared thereto is apparent from FIGS. 53 to 53d. This is an even more simplified option with an aesthetical result which is even worse distally as the wavy structure is reduced in the distal region.

(118) For clarification, the curves of the sections from the FIGS. 51 and 52 are entered one above the other in FIG. 54, and that from the FIGS. 51 and 53 in FIG. 55.

(119) FIG. 56a shows a partial dental arch for the teeth 3 to 7 in the upper jaw. The layer orientation, as is described in FIGS. 57 to 57d, is apparent from FIG. 56b.

(120) The sections 1 to 12 apparent from FIGS. 57 to 57d show a comparatively intensely structured partial dental arch having a correspondingly more distinct wavy structure.

(121) The sections 1 to 12 apparent from FIGS. 58 to 58d show a comparatively less intensely structured partial dental arch having a correspondingly less distinct wavy structure which may be used as a milling blank alternatively in this respect.

(122) A partial dental arch which is modified compared thereto and even less wavy is apparent from FIGS. 59 to 59d.

(123) For clarification, the curves of the sections from the FIGS. 57 and 58 are entered one above the other in FIG. 60, and that from the FIGS. 57 and 59 in FIG. 61.

(124) FIG. 62a shows a partial dental arch for the teeth 4 to 7 in the lower jaw. The layer orientation, as is described in FIG. 63, is apparent from FIG. 62b.

(125) The sections 1 to 12 apparent from FIGS. 63 and 63a show a comparatively intensely structured partial dental arch having a correspondingly more distinct wavy structure.

(126) The sections 1 to 12 apparent from FIG. 64 show a comparatively less intensely structured partial dental arch having a correspondingly less distinct wavy structure which may be used as a milling blank in this respect.

(127) For clarification, the curves of the sections from the FIGS. 63 and 64 are entered one above the other in FIG. 65.

(128) FIG. 66a shows a partial dental arch for the teeth 3 to 7 in the lower jaw. The layer orientation, as is described in FIG. 67, is apparent from FIG. 66b.

(129) The sections 1 to 12 apparent from FIGS. 67 and 67a show a comparatively intensely structured partial dental arch having a correspondingly more distinct wavy structure.

(130) The sections 1 to 12 apparent from FIG. 68 show a comparatively less intensely structured partial dental arch having a correspondingly less distinct wavy structure which may be used as a milling blank alternatively in this respect.

(131) A partial dental arch which is modified compared thereto and even less wavy is apparent from FIG. 69.

(132) For clarification, the curves of the sections from the FIGS. 67 and 68 are entered one above the other in FIG. 70, and that from the FIGS. 67 and 69 in FIG. 71.

(133) A further embodiment of the invention is apparent from the following table 1. It shows again a partial dental arch with the tooth positions 3-4-5-6-7 in the upper jaw, and the indicated values follow the above-described method, wherein additional values are indicated for the Z-axis in the Cartesian coordinate system, that is to say the axis extending in the vestibular-lingual direction. The rotary axis and its start is also entered by the indicated coordinates x,y and z. A “-” refers to a line instead of a radius.

(134) In every case, there is a succession of partial circular arches, for instance in case of section 1 of 4 with the positions 1 to 4.

(135) In case of section 1, the center of the circular arch is dimensioned as origin at position 1 (coordinate values 0,0,0) and here the partial circular radius amounts to 6.09. The second partial circular arch comprises a radius of 112.48 and its center is shifted compared to that of the first partial circular arch by −17.69 in the x-direction, by 104.91 in the y-direction and by 0 in the z-direction.

(136) The same holds true for the further values.

(137) The positions of the sections 1 to 12 correspond to that in FIG. 56b.

(138) A further embodiment of the invention is apparent from the following table 2. It shows again a partial dental arch with the tooth positions 4-5-6-7 in the lower jaw, and the indicated values follow the above-described method.

(139) The positions of the sections 1 to 12 correspond to that in FIG. 62b.

(140) A further embodiment of the invention is apparent from the following table 3. It shows again a partial dental arch with the tooth positions 3-4-5-6-7 in the lower jaw, and the indicated values follow the above-described method.

(141) The positions of the sections 1 to 12 correspond to that in FIG. 66b.

(142) TABLE-US-00001 TABLE 1 Axis of rotation X Y Z direction X 0 0.03 7.5 Section 01 02 03 04 05 06 07 08 09 10 11 12 Rotation 0° 0° 0° 0° 0° 0° 30° 60° 90° 90° 90° 90° Position 1 6.09 4.65 5.71 0.58 5.38 4.87 5.81 5.75 5.52 5.35 5.18 4.89 X 0.00 0.52 −0.92 0.10 0.20 0.17 −0.38 0.01 −0.23 0.51 0.36 0.11 Y 0.00 0.83 1.34 −0.14 0.69 0.38 1.47 0.38 −0.36 −0.16 0.40 0.14 Z 0.00 1.50 1.50 1.50 1.50 1.50 1.13 1.72 1.68 1.50 1.50 1.50 Position 2 112.48 103.44 123.16 — 19.50 18.15 9.86 104.22 41.51 22.61 15.89 53.07 X −17.69 −19.55 −21.27 0.91 −2.11 −3.96 −3.19 −15.96 3.65 −12.02 −9.00 −10.01 Y 104.91 96.83 115.50 −5.50 −24.79 −22.67 −15.33 −108.80 35.81 −25.25 −19.04 −57.08 Z 0.00 0.00 0.00 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 3 107.50 101.30 87.86 — 5.39 5.32 3.39 3.71 8.00 7.24 40.98 196.44 X −0.29 −0.10 −0.54 −7.63 −1.13 −0.14 −4.76 11.94 −8.71 4.03 −9.74 −6.84 Y −4.97 −2.13 −35.29 −1.25 13.52 12.82 12.35 99.79 −48.73 14.83 56.02 249.41 Z 0.00 0.00 0.00 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 4 5.67 5.62 6.45 53.76 12.16 6.01 4.18 7.56 93.04 113.14 — 134.69 X −16.81 −15.60 −12.06 −8.59 −6.23 −4.95 −1.89 −4.21 −3.90 −8.26 −2.85 −2.51 Y −100.43 −94.40 −80.51 53.07 16.98 10.19 −7.32 10.45 100.96 120.09 −40.88 −61.70 Z 0.00 0.00 0.00 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 5 97.35 5.28 2.32 3.29 2.02 175.27 367.24 — 28.61 X −4.57 −0.73 −1.69 −4.20 −2.06 1.38 9.60 −12.69 −20.03 Y 43.34 −17.42 −8.15 6.17 −9.35 82.21 253.92 0.98 −162.06 Z 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 6 97.48 15.19 7.01 14.62 5.71 296.45 117.95 14.97 7.13 X 0.00 −6.50 −5.04 −1.24 −3.69 −31.34 −13.96 −1.28 2.68 Y 0.13 19.40 7.84 −17.87 6.78 −470.67 −248.89 −14.91 35.64 Z 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 7 — 42.70 6.73 7.31 5.59 32.23 9.97 8.77 X −3.78 0.87 −0.06 −6.28 −2.95 12.19 −13.98 −1.30 Y −97.40 −57.88 −13.72 21.00 −10.89 328.45 −127.15 23.70 Z 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 8 — 29.74 21.93 296.06 27.63 34.94 10.52 X −5.63 −7.17 −6.15 −28.64 −6.46 −11.32 −2.51 Y 0.24 72.08 27.99 −302.01 32.58 −66.20 20.33 Z 0.00 6.00 0.00 0.00 0.00 0.00 0.00 Position 9 63.76 21.30 22.38 11.14 16.34 3.19 X 3.03 −7.25 −8.22 18.04 −3.01 0.95 Y 63.68 −50.52 −43.53 306.67 −10.88 38.11 Z 0.00 6.00 0.00 0.00 0.00 0.00 Position 10 3.78 6.86 5.63 5.49 11.02 X −9.41 −3.84 −3.95 −1.90 −10.64 Y −59.23 27.90 27.45 −5.31 −25.20 Z 0.00 6.00 0.00 0.00 0.00 Position 11 3.21 X 0.18 Y 14.23 Z 0.00

(143) TABLE-US-00002 TABLE 2 Axis of rotation X Y Z direction X 0 0.03 7.5 Section 01 02 03 04 05 06 07 08 09 10 11 12 Rotation 0° 0° 0° 0° 0° 0° 30° 60° 90° 90° 90° 90° Position 1 4.68 5.65 6.02 4.84 4.34 2.90 3.40 3.28 2.45 2.51 2.49 2.74 X 0.00 −0.57 −0.09 0.45 −0.08 0.43 −0.57 −0.16 0.82 0.08 0.17 −0.14 Y 0.00 1.05 0.67 −0.77 −0.15 −0.76 0.66 −0.36 0.49 1.21 0.71 0.29 Z 0.00 1.50 1.50 1.50 1.50 1.50 1.02 −0.55 −0.65 1.50 1.50 1.50 Position 2 209.82 505.35 513.98 59.93 29.22 34.84 15.95 7.50 249.07 613.61 139.12 179.12 X −16.22 −28.18 16.45 −1.50 −3.42 −2.83 −3.25 −3.91 11.58 −42.81 −5.90 −2.72 Y 204.49 498.91 −519.74 −64.75 −33.39 −37.63 −19.08 −10.04 246.34 −614.64 −141.49 −181.84 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 3 115.59 76.05 35.39 71.42 50.20 19.45 4.38 16.27 146.06 105.77 223.65 121.88 X 1.52 13.14 −31.72 −12.95 −10.29 −7.57 −4.01 −2.87 −37.11 25.89 −11.15 −13.16 Y −94.22 −429.09 548.45 130.71 78.76 53.76 19.93 23.59 −393.38 507.19 362.59 300.71 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 4 7.42 100.16 189.64 105.51 120.95 159.26 27.42 40.56 19.88 40.02 64.30 101.78 X −13.51 1.65 11.37 1.47 3.29 −5.86 −2.38 −7.30 7.20 −0.90 −2.88 −7.30 Y −107.32 24.05 153.83 34.06 70.67 139.69 −31.72 −56.36 125.98 65.74 −287.93 −223.54 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 5 11.11 11.04 7.20 7.17 27.23 11.05 95.43 62.41 25.69 18.40 14.96 X −13.76 −23.26 −15.63 −18.14 1.01 −5.49 −0.58 6.67 −13.92 −10.87 −6.86 Y −87.98 −177.08 −97.07 −112.33 −132.03 38.08 −54.87 −42.00 64.22 81.98 116.54 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 6 4.08 3.85 4.08 4.96 0.00 178.98 70.35 4.64 2.77 2.65 3.29 X −2.31 −2.29 −1.13 −0.78 −3.27 −24.74 −0.50 −18.02 0.50 −0.77 −1.25 Y −6.64 −6.82 −2.90 −2.07 −27.03 −188.41 25.08 64.58 −22.92 −15.73 −11.60 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 7 0.00 34.72 44.89 X −10.37 17.09 −9.79 Y 1.23 213.02 114.82 Z 0.00 0.00 0.00 Position 8 14.66 4.47 5.55 X 1.68 −6.64 −3.27 Y 14.56 −29.52 −39.21 Z 0.00 0.00 0.00 Position 9 3.69 X −3.16 Y −10.50 Z 0.00 Position 10 X Y Z Position 11 X Y

(144) TABLE-US-00003 TABLE 3 Axis of rotation X Y Z direction X 0 0.03 7.5 Section 01 02 03 04 05 06 07 08 09 10 11 12 Rotation 0° 0° 0° 0° 0° 0° 30° 60° 90° 90° 90° 90° Position 1 5.71 3.78 5.60 4.32 5.09 4.48 5.05 6.68 8.04 4.33 4.29 4.32 X 0.00 0.95 −1.56 0.74 −0.76 0.29 −0.22 −1.43 −1.66 3.57 0.46 0.08 Y 0.00 −1.13 1.73 −0.25 1.16 0.38 1.07 1.12 0.09 −2.25 0.68 0.77 Z 0.00 1.50 1.50 1.50 1.50 1.50 0.81 1.23 1.63 1.50 1.50 1.50 Position 2 150.60 90.18 117.66 73.84 29.20 17.20 25.27 5.39 3.80 38.62 32.92 55.43 X −18.95 −19.62 −20.06 −16.62 2.76 0.51 −2.50 0.81 2.93 −13.86 −11.88 −11.37 Y 143.64 84.14 110.26 67.51 −34.17 −21.67 20.06 −1.01 −3.07 −40.65 −35.26 −58.67 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 3 64.99 83.92 74.05 111.19 8.82 12.29 3.73 4.02 30.64 132.12 747.08 640.18 X −2.57 −0.09 0.61 −4.71 −10.78 −0.95 1.04 −1.16 −7.49 −0.07 12.23 −18.13 Y −85.88 −6.27 −43.55 37.05 36.46 4.82 −28.98 −9.34 −33.61 170.74 −714.05 665.36 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 4 65.30 105.64 8.08 9.73 10.62 202.67 132.13 1132.08 384.83 X 0.05 −12.45 −8.34 −6.35 −5.64 −23.80 −2.38 −54.09 3.48 Y −46.00 96.01 18.59 11.88 13.52 −170.38 −264.23 1878.35 −225.33 Z 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Position 5 71.35 14.87 5.56 8.54 54.70 39.37 X 0.90 −1.48 −2.71 −3.74 12.26 −18.57 Y −34.30 −22.90 −15.05 −18.79 147.46 170.49 Z 0.00 0.00 0.00 0.00 0.00 0.00 Position 6 66.72 15.30 25.20 5.34 X −9.36 −4.07 −1.15 −15.28 Y 81.05 20.45 33.72 58.06 Z 0.00 0.00 0.00 0.00 Position 7 78.65 245.01 52.52 X 0.12 0.88 −7.18 Y 11.97 229.71 −77.40 Z 0.00 0.00 0.00 Position 8 6.39 24.25 X −20.58 −9.84 Y −237.73 76.14 Z 0.00 0.00 Position 9 X Y Z Positon 10 X Y Z Postion 11 X Y Z