High resolution thin multi-aperture imaging systems

Abstract

A multi-aperture imaging system comprising a first camera with a first sensor that captures a first image and a second camera with a second sensor that captures a second image, the two cameras having either identical or different FOVs. The first sensor may have a standard color filter array (CFA) covering one sensor section and a non-standard color CFA covering another. The second sensor may have either Clear or standard CFA covered sections. Either image may be chosen to be a primary or an auxiliary image, based on a zoom factor. An output image with a point of view determined by the primary image is obtained by registering the auxiliary image to the primary image.

Claims

.[.1. A multi-aperture imaging system comprising: a) a first camera that provides a first camera image, the first camera having a first sensor with a first plurality of sensor pixels covered at least in part with a non-standard color filter array (CFA) used to increase a specific color sampling rate relative to a same color sampling rate in a standard CFA, wherein the nonstandard CFA includes a repetition of a n×n micro-cell where n=4 and wherein each micro-cell includes a BBRR-RBBR-RRBB-BRRB color filter order; b) a second camera that provides a second camera image, the second camera having a second sensor with a second plurality of sensor pixels, the second plurality of sensor pixels being either Clear or covered with a standard CFA, wherein the second camera image has an overlap area with the first camera image; and c) a processor configured to process the first and second camera images into a fused output image, wherein in the overlap area pixels of the second camera image are registered with corresponding pixels of the first camera image..].

.[.2. A multi-aperture imaging system comprising: a) a first camera that provides a first camera image, the first camera having a first sensor with a first plurality of sensor pixels covered at least in part with a non-standard color filter array (CFA) used to increase a specific color sampling rate relative to a same color sampling rate in a standard CFA. wherein the non-standard CFA includes a repetition of a nxn micro-cell where n=6 and wherein each micro-cell includes a color filter order selected from the group consisting of RBBRRB-RWRBWB-BBRBRR-RRBRBB-BWBRWR-BRRBBR, BBGRRG-RGRBGB-GBRGRB-RRGBBG-BGBRGR-GRBGBR, RBBRRB-RGRBGB-BBRBRR-RRBRBB-BGBRGR-BRRBBR and RBRBRB-BGBRGR-RBRBRB-BRBRBR-RGRBGB-BRBRBR; b) a second camera that provides a second camera image, the second camera having a second sensor with a second plurality of sensor pixels, the second plurality of sensor pixels being either Clear or covered with a standard CFA, wherein the second camera image has an overlap area with the first camera image; and c) a processor configured to process the first and second camera images into a fused output image, wherein in the overlap area pixels of the second camera image are registered with corresponding pixels of the first camera image..].

.[.3. The multi-aperture imaging system of claim 1, wherein the first camera is a Wide camera with a field of view FOV.sub.w and wherein the second camera is a Tele camera with a field of view FOV.sub.T smaller than FOV.sub.w..].

.[.4. A method of acquiring images by a multi-aperture imaging system, the method comprising: a) providing a first image generated by a first camera of the imaging system, the first camera having a first field of view (FOV.sub.1); b) providing a second image generated by a second camera of the imaging system, the second camera having a second field of view (FOV.sub.2) such that FOV.sub.2<FOV.sub.1, the second image having an overlap area with the first image; and c) fusing the first and second images into a fused image, wherein the fusing includes applying a registration process between the first and second images, the registration process including: i. extracting a first Luma image from the first image ii. extracting a second Luma image from the second image, iii. applying low-pass filtering on the second Luma image in order to match its spatial frequency content to that of the first Luma image and to generate a low-pass second Luma image, and iv. applying registration on the low-pass second Luma image and the first Luma image, wherein the non-standard CFA includes a repetition of a n×n micro-cell where n=4 and wherein each micro-cell includes a BBRR-RBBR-RRBB-BRRB color filter order..].

.[.5. The method of claim 4, wherein n=6 instead of n=4 and wherein instead of each micro-cell including a BBRR-RBBR-RRBB-BRRB color filter order, each micro-cell includes a color filter order selected from the group consisting of RBBRRB-RWRBWB-BBRBRR-RRBRBB-BWBRWR-BRRBBR, BBGRRG-RGRBGB-GBRGRB-RRGBBG-BGBRGR-GRBGBR, RBBRRB-RGRBGB-BBRBRR-RRBRBB-BGBRGR-BRRBBR and RBRBRB-BGBRGR-RBRBRB-BRBRBR-RGRBGB-BRBRBR..].

.Iadd.6. A multi-aperture imaging system comprising: a) a first camera that provides a first camera image, the first camera having a first field of view (FOV1) and a first sensor with a first color filter array (CFA); b) a second camera that provides a second image, the second camera having a second field of view (FOV2) smaller than FOV1 and a second sensor with a second CFA, the first sensor having an overlap area with the second sensor and a non-overlap area; and c) a processor configured to provide an output image using the first image and the second image, wherein a CFA pattern of the first CFA in the overlap area differs from a CFA pattern of the first CFA in the non-overlap area, wherein the CFA pattern of the first CFA in the overlap area includes white pixels, and wherein a CFA pattern of the second CFA is different from the CFA pattern of the first CFA in the overlap area..Iaddend.

.Iadd.7. The multi-aperture imaging system of claim 6, wherein the second CFA is a Bayer CFA..Iaddend.

.Iadd.8. The multi-aperture imaging system of claim 7, wherein the first image has a first resolution and wherein the output image has a second resolution higher than the first resolution..Iaddend.

.Iadd.9. A multi-aperture imaging system comprising: a) a first camera that provides a first camera image, the first camera having a first field of view (FOV1) and a first sensor with a first color filter array (CFA); b) a second camera that provides a second image, the second camera having a second field of view (FOV2) and a second sensor with a second CFA, the first sensor having an overlap area with the second sensor and a non-overlap area; and c) a processor configured to provide an output image using the first image and the second image, wherein a CFA pattern of the first CFA in the overlap area differs from a CFA pattern of the first CFA in the non-overlap area, wherein the CFA pattern of the first CFA in the overlap area has a first red color pixel and a second red color pixel adjacent to the first red color pixel and a first blue color pixel and a second blue color pixel adjacent to the first blue color pixel, and wherein a CFA pattern of the second CFA is different from the CFA pattern of the first CFA in the overlap area..Iaddend.

.Iadd.10. The multi-aperture imaging system of claim 9, wherein the second CFA has white or clear pixels..Iaddend.

.Iadd.11. The multi-aperture imaging system of claim 10, wherein FOV1 is greater than FOV2..Iaddend.

.Iadd.12. The multi-aperture imaging system of claim 10, wherein the first red color pixel and the second red color pixel are disposed in a first direction, and wherein the first blue color pixel and the second blue color pixel are disposed in a second direction perpendicular to the first direction..Iaddend.

.Iadd.13. The multi-aperture imaging system of claim 10, wherein the first image has a first resolution and wherein the output image has a second resolution higher than the first resolution..Iaddend.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) Non-limiting examples of embodiments disclosed herein are described below with reference to figures attached hereto that are listed following this paragraph. The drawings and descriptions are meant to illuminate and clarify embodiments disclosed herein, and should not be considered limiting in any way.

(2) FIG. 1A shows schematically a block diagram illustrating a dual-aperture zoom imaging system disclosed herein;

(3) FIG. 1B shows an example of an image captured by the Wide sensor and the Tele sensor while illustrating the overlap area on the Wide sensor;

(4) FIG. 2 shows schematically an embodiment of a Wide sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(5) FIG. 3 shows schematically another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(6) FIG. 4 shows schematically yet another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(7) FIG. 5 shows schematically yet another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(8) FIG. 6 shows schematically yet another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(9) FIG. 7 shows schematically yet another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(10) FIG. 8 shows schematically yet another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(11) FIG. 9 shows schematically yet another embodiment of a Wide camera sensor that may be implemented in a dual-aperture zoom imaging system disclosed herein;

(12) FIG. 10 shows a schematically in a flow chart an embodiment of a method disclosed herein for acquiring and outputting a zoom image;

(13) FIG. 11A shows exemplary images captured by a triple aperture zoom imaging system disclosed herein;

(14) FIG. 11B illustrates schematically the three sensors of the triple aperture imaging system of FIG. 11A.

DETAILED DESCRIPTION

(15) Embodiments disclosed herein relate to multi-aperture imaging systems that include at least one Wide sensor with a single CFA or with two different CFAs and at least one Tele sensor. The description continues with particular reference to dual-aperture imaging systems that include two (Wide and Tele) subsets with respective sensors. A three-aperture imaging system is described later with reference to FIGS. 11A-11B.

(16) The Wide sensor includes an overlap area (see description of FIG. 1B) that captures the Tele FOV. The overlap area may cover the entire Wide sensor or only part of the sensor. The overlap area may include a standard CFA or a non-standard CFA. Since the Tele image is optically magnified compared to the Wide image, the effective sampling rate of the Tele image is higher than that of the Wide image. Thus, the effective color sampling rate in the Wide sensor is much lower than the Clear sampling rate in the Tele sensor. In addition, the Tele and Wide images fusion procedure (see below) requires up-scaling of the color data from the Wide sensor. Up-scaling will not improve color resolution. In some applications, it is therefore advantageous to use a non-standard CFA in the Wide overlap area that increases color resolution for cases in which the Tele sensor includes only Clear pixels. In some embodiments in which the Tele sensor includes a Bayer CFA, the Wide sensor may have a Bayer CFA in the overlap area. In such embodiments, color resolution improvement depends on using color information from the Tele sensor in the fused output image.

(17) FIG. 1A shows schematically a block diagram illustrating a dual-aperture zoom imaging (“DAZI”) system 100 disclosed herein. System 100 includes a dual-aperture camera 102 with a Wide subset 104 and a Tele subset 106 (each subset having a respective sensor), and a processor 108 that fuses two images, a Wide image obtained with the Wide subset and a Tele image obtained with the Tele subset, into a single fused output image according to a user-defined “applied” ZF input or request. The ZF is input to processor 108. The Wide sensor may include a non-standard CFA in an overlap area illustrated by 110 in FIG. 1B. Overlap area 110 is surrounded by a non-overlap area 112 with a standard CFA (for example a Bayer pattern). FIG. 1B also shows an example of an image captured by both Wide and Tele sensors. Note that “overlap” and “non-overlap” areas refer to parts of the Wide image as well as to the CFA arrangements of the Wide sensor. The overlap area may cover different portions of a Wide sensor, for example half the sensor area, a third of the sensor area, a quarter of the sensor area, etc. A number of such Wide sensor CFA arrangements are described in more detail with reference to FIGS. 2-9. The non-standard CFA pattern increases the color resolution of the DAZI system.

(18) The Tele sensor may be Clear (providing a Tele Clear image scaled relative to the Wide image) or may include a standard (Bayer or non-Bayer) CFA. It in the latter case, it is desirable to define primary and auxiliary sensors based on the applied ZF. If the ZF is such that the output FOV is larger than the Tele FOV, the primary sensor is the Wide sensor and the auxiliary sensor is the Tele sensor. If the ZF is such that the output FOV is equal to, or smaller than the Tele FOV, the primary sensor is the Tele sensor and the auxiliary sensor is the Wide sensor. The point of view defined by the output image is that of the primary sensor.

(19) FIG. 2 shows schematically an embodiment of a Wide sensor 200 that may be implemented in a DAZI system such as system 100. Sensor 200 has a non-overlap area 202 with a Bayer CFA and an overlap area 204 covered by a non-standard CFA with a repetition of a 4×4 micro-cell in which the color filter order is BBRR-RBBR-RRBB-BRRB. In this figure, as well as in FIGS. 3-9, “Width 1” and “Height 1” refer to the full Wide sensor dimension. “Width 2” and “Height 2” refer to the dimensions of the Wide sensor overlap area. Note that in FIG. 2 (as in following FIGS. 3-5 and 7, 8) the empty row and column to the left and top of the overlap area are for clarity purposes only, and that the sensor pixels follow there the pattern of the non-overlap area (as shown in FIG. 6). In overlap area 204, R and B are sampled at ½.sup.0.5 Nyquist frequency in the diagonal (left to right) direction with 2 pixel intervals instead of at ½ Nyquist frequency in a standard Bayer pattern.

(20) FIG. 3 shows schematically an embodiment of a Wide sensor 300 that may be implemented in a DAZI system such as system 100. Sensor 300 has a non-overlap area 302 with a Bayer CFA and an overlap area 304 covered by a non-standard CFA with a repetition of a 2×2 micro-cell in which the color filter order is BR-RB. In the overlap area, R and B are sampled at ½.sup.0.5 Nyquist frequency in both diagonal directions.

(21) FIG. 4 shows schematically an embodiment of a Wide sensor 400 that may be implemented in a DAZI system such as system 100. Sensor 400 has a non-overlap area 402 with a Bayer CFA and an overlap area 404 covered by a non-standard CFA with a repetition of a 2×2 micro-cell in which the color filter order is YC-CY, where Y=Yellow=Green+Red, C=Cyan=Green+Blue. As a result, in the overlap area, R and B are sampled at ½.sup.0.5 Nyquist frequency in a diagonal direction. The non-standard CFA includes green information for registration purposes. This allows for example registration between the two images where the object is green, since there is green information in both sensor images.

(22) FIG. 5 shows schematically an embodiment of a Wide sensor 500 that may be implemented in a DAZI system such as system 100. Sensor 500 has a non-overlap area 502 with a Bayer CFA and an overlap area 504 covered by a non-standard CFA with a repetition of a 6×6 micro-cell in which the color filter order is RBBRRB-RWRBWB-BBRBRR-RRBRBB-BWBRWR-BRRBBR, where “W” represents White or Clear pixels. In the overlap area, R and B are sampled at a higher frequency than in a standard CFA. For example, in a Bayer pixel order, the Red average sampling rate (“R.sub.s”) is 0.25 (sampled once for every 4 pixels). In the overlap area pattern, R.sub.s is 0.44.

(23) FIG. 6 shows schematically an embodiment of a Wide sensor 600 that may be implemented in a DAZI system such as system 100. Sensor 600 has a non-overlap area 602 with a Bayer CFA and an overlap area 604 covered by a non-standard CFA with a repetition of a 6×6 micro-cell in which the color filter order is BBGRRG-RGRBGB-GBRGRB-RRGBBG-BGBRGR-GRBGBR. In the overlap area, R and B are sampled at a higher frequency than in a standard CFA. For example, in the overlap area pattern, R.sub.s is 0.33 vs. 0.25 in a Bayer pixel order.

(24) FIG. 7 shows schematically an embodiment of a Wide sensor 700 that may be implemented in a DAZI system such as system 100. Sensor 700 has a non-overlap area 702 with a Bayer CFA and an overlap area 704 covered by a non-standard CFA with a repetition of a 3×3 micro-cell in which the color filter order is GBR-RGB-BRG. In the overlap area, R and B are sampled at a higher frequency than in a standard CFA. For example, in the overlap area pattern, R.sub.s is 0.33 vs. 0.25 in a Bayer pixel order.

(25) FIG. 8 shows schematically an embodiment of a Wide sensor 800 that may be implemented in a DAZI system such as system 100. Sensor 800 has a non-overlap area 802 with a Bayer CFA and an overlap area 804 covered by a non-standard CFA with a repetition of a 6×6 micro-cell in which the color filter order is RBBRRB-RGRBGB-BBRBRR-RRBRBB-BGBRGR-BRRBBR. In the overlap area, R and B are sampled at a higher frequency than in a standard CFA. For example, in the overlap area pattern, R.sub.s is 0.44 vs. 0.25 in a Bayer pixel order.

(26) FIG. 9 shows schematically an embodiment of a Wide sensor 900 that may be implemented in a DAZI system such as system 100. Sensor 900 has a non-overlap area 902 with a Bayer CFA and an overlap area 904 covered by a non-standard CFA with a repetition of a 6×6 micro-cell in which the color filter order is RBRBRB-BGBRGR-RBRBRB-BRBRBR-RGRBGB-BRBRBR. In the overlap area, R and B are sampled at a higher frequency than in a standard CFA. For example, in the overlap area pattern, R.sub.s is 0.44 vs. 0.25 in a Bayer pixel order.

(27) Processing Flow

(28) In use, an image is acquired with imaging system 100 and is processed according to steps illustrated in a flowchart shown in FIG. 10. In step 1000, demosaicing is performed on the Wide overlap area pixels (which refer to the Tele image FOV) according to the specific CFA pattern. If the CFA in the Wide overlap area is a standard CFA, a standard demosaicing process may be applied to it. If the CFA in the Wide overlap area is non-standard CFA, the overlap and non-overlap subsets of pixels may need different demosaicing processes. That is, the Wide overlap area may need a non-standard demosaicing process and the Wide non-overlap area may need a standard demosaicing process. Exemplary and non-limiting non-standard demosaicing interpolations for the overlap area of each of the Wide sensors shown in FIGS. 2-9 are given in detail below. The aim of the demosaicing is to reconstruct missing colors in each pixel. Demosaicing is applied also to the Tele sensor pixels if the Tele sensor is not a Clear only sensor. This will result in a Wide subset color image where the colors (in the overlap area) hold higher resolution than those of a standard CFA pattern. In step 1002, the Tele image is registered (mapped) into the Wide image. The mapping includes finding correspondences between pixels in the two images. In step 1002, actual registration is performed on luminance Tele and Wide images (respectively Luma.sub.Tele and Luma.sub.wide) calculated from the pixel information of the Tele and Wide cameras. These luminance images are estimates for the scene luminance as captured by each camera and do not include any color information. If the Wide or Tele sensors have CFAs, the calculation of the luminance images is performed on the respective demosaiced images. The calculation of the Wide luminance image varies according to the type of non-standard CFA used in the Wide overlap area. If the CFA permits calculation of a full RGB demosaiced image, the luminance image calculation is straightforward. If the CFA is such that it does not permit calculation of a full RGB demosaiced image, the luminance image is estimated from the available color channels. If the Tele sensor is a Clear sensor, the Tele luminance image is just the pixel information. Performing the registration on luminance images has the advantage of enabling registration between images captured by sensors with different CFAs or between images captured by a standard CFA or non-standard CFA sensor and a standard CFA or Clear sensor and avoiding color artifacts that may arise from erroneous registration.

(29) In step 1004, the data from the Wide and Tele images is processed together with the registration information from step 1002 to form a high quality output zoom image. In cases where the Tele sensor is a Clear only sensor, the high resolution luminance component is taken from the Tele sensor and color resolution is taken from the Wide sensor. In cases where the Tele sensor includes a CFA, both color and luminance data are taken from the Tele subset to form the high quality zoom image. In addition, color and luminance data is taken from the Wide subset.

(30) Exemplary Process for Fusing a Zoom Image

(31) 1. Special Demosaicing

(32) In this step, the Wide image is interpolated to reconstruct the missing pixel values. Standard demosaicing is applied in the non-overlap area. If the overlap area includes a standard CFA, standard demosaicing is applied there as well. If the overlap area includes a non-standard CFA, a special demosaicing algorithm is applied, depending on the CFA pattern used. In addition, in case the Tele sensor has a CFA, standard demosaicing is applied to reconstruct the missing pixel values in each pixel location and to generate a full RGB color image.

(33) 2. Registration Preparation

(34) Tele image: a luminance image Luma.sub.Tele is calculated from the Tele sensor pixels. If the Tele subset has a Clear sensor, .sub.LumaTele is simply the sensor pixels data. If the Tele subset has a standard CFA, .sub.LumaTele is calculated from the demosaiced Tele image. Wide image: as a first step, in case the Wide overlap CFA permits estimating the luminance component of the image, the luminance component is calculated from the demosaiced Wide image, Luma.sub.Wide. If the CFA is one of those depicted in FIGS. 4-9, a luminance image is calculated first. If the CFA is one of the CFAs depicted in FIG. 2 or FIG. 3, a luminance image is not calculated. Instead, the following registration step is performed between a weighted average of the demosaiced channels of the Wide image and Luma.sub.Tele. For convenience, this weighted average image is also denoted Luma.sub.Wide. For example, if the Wide sensor CFA in the overlap region is as shown in FIG. 2, the demosaiced channels R.sub.Wide and B.sub.Wide are averaged to create Luma.sub.Wide according to Luma.sub.Wide=(f1*R.sub.Wide+f2*B.sub.Wide)/(f1+f2), where f1 may be f1=1 and f2 may be f2=1. Low-pass filtering is applied on the Tele luminance image in order to match its spatial frequency content to that of the Luma.sub.Wide image. This improves the registration performance, as after low-pass filtering the luminance images become more similar. The calculation is Luma.sub.Tele.fwdarw.Low pass filter.fwdarw.Luma.sub.Tele.sup.LP, where “LP” denotes an image after low pass filtering.
3. Registration of Luma.sub.Wide and Luma.sub.Tele.sup.LP

(35) This step of the algorithm calculates the mapping between the overlap areas in the two luminance images. The registration step does not depend on the type of CFA used (or the lack thereof), as it is applied on luminance images. The same registration step can therefore be applied on Wide and Tele images captured by standard CFA sensors, as well as by any combination of CFAs or Clear sensor pixels disclosed herein. The registration process chooses either the Wide image or the Tele image to be a primary image. The other image is defined as an auxiliary image. The registration process considers the primary image as the baseline image and registers the overlap area in the auxiliary image to it, by finding for each pixel in the overlap area of the primary image its corresponding pixel in the auxiliary image. The output image point of view is determined according to the primary image point of view (camera angle). Various correspondence metrics could be used for this purpose, among which are a sum of absolute differences and correlation.

(36) In an embodiment, the choice of the Wide image or the Tele image as the primary and auxiliary images is based on the ZF chosen for the output image. If the chosen ZF is larger than the ratio between the focal-lengths of the Tele and Wide cameras, the Tele image is set to be the primary image and the Wide image is set to be the auxiliary image. If the chosen ZF is smaller than or equal to the ratio between the focal-lengths of the Tele and Wide cameras, the Wide image is set to be the primary image and the Tele image is set to be the auxiliary image. In another embodiment independent of a zoom factor, the Wide image is always the primary image and the Tele image is always the auxiliary image. The output of the registration stage is a map relating Wide image pixels indices to matching Tele image pixels indices.

(37) 4. Combination into a High Resolution Image

(38) In this final step, the primary and auxiliary images are used to produce a high resolution image. One can distinguish between several cases:

(39) a. If the Wide image is the primary image, and the Tele image was generated from a Clear sensor, Luma.sub.Wide is calculated and replaced or averaged with Luma.sub.Tele in the overlap area between the two images to create a luminance output image, matching corresponding pixels according to the registration map Luma.sub.Out=c1*Luma.sub.Wide+c2*Luma.sub.Tele. The values of c1 and c2 may change between different pixels in the image. Then, RGB values of the output are calculated from Luma.sub.Out and R.sub.Wide, G.sub.Wide, and B.sub.Wide.

(40) b. If the Wide image is the primary image and the Tele image was generated from a CFA sensor, Luma.sub.Tele is calculated and is combined with Luma.sub.Wide in the overlap area between the two images, according to the flow described in 4a.

(41) c. If the Tele image is the primary image generated from a Clear sensor, the RGB values of the output are calculated from the Luma.sub.Tele image and R.sub.Wide, G.sub.Wide, and B.sub.Wide (matching pixels according to the registration map).

(42) d. If the Tele image is the primary image generated from a CFA sensor, the RGB values of the output (matching pixels according to the registration map) are calculated either by using only the Tele image data, or by also combining data from the Wide image. The choice depends on the zoom factor.

(43) Certain portions of the registered Wide and Tele images are used to generate the output image based on the ZF of the output image. In an embodiment, if the ZF of the output image defines a FOV smaller than the Tele FOV, the fused high resolution image is cropped to the required field of view and digital interpolation is applied to scale up the image to the required output image resolution.

(44) Exemplary and Non-Limiting Pixel Interpolations Specifications for the Overlap Area

(45) FIG. 2

(46) TABLE-US-00001 B11 B12 R13 R21 B22 B23 R31 R32 B33
In order to reconstruct the missing R22 pixel, we perform R22=(R31+R13)/2. The same operation is performed for all missing Blue pixels.
FIG. 3

(47) TABLE-US-00002 R11 B12 R13 B21 R22 B23 R31 B32 R33
In order to reconstruct the missing B22 pixel, we perform B22=(B12+B21+B32+B23)/4. The same operation is performed for all missing Red pixels.
FIG. 4

(48) TABLE-US-00003 Y11 C12 Y13 C21 Y22 C23 Y31 C32 Y33
In order to reconstruct the missing C22 pixel, we perform C22=(C12+C21+C32+C23)/4. The same operation is performed for all missing Yellow pixels.
FIG. 5
Case 1: W is Center Pixel

(49) TABLE-US-00004 R11 B12 B13 R21 W22 R23 B31 B32 R33
In order to reconstruct the missing 22 pixels, we perform the following:

(50) B22=(B12+B32)/2

(51) R22=(R21+R23)/2

(52) G22=(W22−R22−B22) (assuming that W includes the same amount of R, G and B colors).

(53) Case 2: R22 is Center Pixel

(54) TABLE-US-00005 B11 B12 R13 R14 W21 R22 B23 W24 B31 R32 B33 R34

(55) B22(B11+R33)/2

(56) In order to reconstruct the missing 22 pixels, we perform the following:

(57) W22=(2*W21+W24)/3

(58) G22(W22−R22−B22) (assuming that W contains the same amount of R, G and B colors). The same operation is performed for Blue as the center pixel.

(59) FIG. 6

(60) TABLE-US-00006 B11 B12 G13 R14 R21 G22 R23 B24 G31 B32 R33 G34 R41 R42 G43 B44
In order to reconstruct the missing 22 pixels, we perform the following:

(61) B22=(B12+B32)/2

(62) R22=(R21+R23)/2.

(63) In order to reconstruct the missing 32 pixels, we perform the following:

(64) G32=(2*G31+2*G22+G43)/5

(65) R32=(R41+2*R42+2*R33+R23+R21)/7.

(66) FIG. 7

(67) TABLE-US-00007 G11 B12 R13 G14 R21 G22 B23 R24 B31 R32 G33 B34 G41 B42 R43 G44
In order to reconstruct the missing 22 pixels, we perform the following:

(68) B22=(2*B12+2*B23+B31)/5

(69) R22=(2*R21+2*R32+R13)/5

(70) and similarly for all other missing pixels.

(71) FIG. 8

(72) TABLE-US-00008 R11 B12 B13 R14 R21 G22 R23 B24 B31 B32 R33 B34 R41 R42 B43 R44 B51 G52 B53 R54
In order to reconstruct the missing 22 pixels, we perform the following:

(73) B22=(2*B12+2*B32+B13)/5

(74) R22=(2*R21+2*R23+R11)/5.

(75) In order to reconstruct the missing 32 pixels, we perform the following:

(76) G32=(2*G22+G52)/3

(77) R32=(2*R33+2*R42+R41+R21+R23)/7.

(78) FIG. 9

(79) TABLE-US-00009 R11 B12 R13 B14 B21 G22 B23 R24 R31 B32 R33 B34 B41 R42 B43 R44 R51 G52 R53 B54
In order to reconstruct the missing 22 pixels, we perform the following:

(80) B22=(B12+B32+B23+B21)/4

(81) R22=(R11+R13+R31+R33)/4.

(82) In order to reconstruct the missing 32 pixels, we perform the following:

(83) G32=(2*G22+G52)/3

(84) R32=(R42+R31+R33)/3.

(85) Triple-Aperture Zoom Imaging System with Improved Color Resolution

(86) As mentioned, a multi-aperture zoom or non-zoom imaging system disclosed herein may include more than two apertures. A non-limiting and exemplary embodiment 1100 of a triple-aperture imaging system is shown in FIGS. 11A-11B. System 1100 includes a first Wide subset camera 1102 (with exemplarily X1), a second Wide subset camera (with exemplarily X1.5, and referred to as a “Wide-Tele” subset) and a Tele subset camera (with exemplarily X2). FIG. 11A shows exemplary images captured by imaging system 1100, while FIG. 11B illustrates schematically three sensors marked 1102, 1104 and 1106, which belong respectively to the Wide, Wide-Tele and Tele subsets. FIG. 11B also shows the CFA arrangements in each sensor: sensors 1102 and 1104 are similar to Wide sensors described above with reference to any of FIGS. 2-9, in the sense that they include an overlap area and a non-overlap area. The overlap area includes a non-standard CFA. In both Wide sensors, the non-overlap area may have a Clear pattern or a standard CFA. Thus, neither Wide subset is solely a Clear channel camera. The Tele sensor may be Clear or have a standard Bayer CFA or a standard non-Bayer CFA. In use, an image is acquired with imaging system 1100 and processed as follows: demosaicing is performed on the overlap area pixels of the Wide and Wide-Tele sensors according to the specific CFA pattern in each overlap area. The overlap and non-overlap subsets of pixels in each of these sensors may need different demos aicing. Exemplary and non-limiting demosaicing specifications for the overlap area for Wide sensors shown in FIGS. 2-9 are given above. The aim is to reconstruct the missing colors in each and every pixel. In cases in which the Tele subset sensor is not Clear only, demosaicing is performed as well. The Wide and Wide-Tele subset color images acquired this way will have colors (in the overlap area) holding higher resolution than that of a standard CFA pattern. Then, the Tele image acquired with the Tele sensor is registered (mapped) into the respective Wide image. The data from the Wide, Wide-Tele and Tele images is then processed to form a high quality zoom image. In cases where the Tele subset is Clear only, high Luma resolution is taken from the Tele sensor and color resolution is taken from the Wide sensor. In cases where the Tele subset includes a CFA, both color and Luma resolution is taken from the Tele subset. In addition, color resolution is taken from the Wide sensor. The resolution of the fused image may be higher than the resolution of both sensors.

(87) While this disclosure has been described in terms of certain embodiments and generally associated methods, alterations and permutations of the embodiments and methods will be apparent to those skilled in the art. For example, multi-aperture imaging systems with more than two Wide or Wide-Tele subsets (and sensors) or with more than one Tele subset (and sensor) may be constructed and used according to principles set forth herein. Similarly, non-zoom multi-aperture imaging systems with more than two sensors, at least one of which has a non-standard CFA, may be constructed and used according to principles set forth herein. The disclosure is to be understood as not limited by the specific embodiments described herein, but only by the scope of the appended claims.