Orthodontic systems and related methods are disclosed for designing and providing improved or more effective tooth moving systems for eliciting a desired tooth movement and/or repositioning teeth into a desired arrangement. Methods and orthodontic systems include the generation of an overcorrection in the tooth-receiving cavities of an appliance worn in the dentition. The overcorrection may provide an improved and more accurately applied force or moment applied to a tooth. The overcorrected force or moment can move a tooth closer to a desired position than if not overcorrected as sufficient force can still applied to the tooth as it gets closer to the desired position. The overcorrected force or moment may also better target the root of the tooth where the biological response to tooth movement occurs. The overcorrection may be calculated in various ways as described herein.

A virtual make-up apparatus and method: store cosmetic item information of cosmetic items of different colors; store a different texture component for each stored cosmetic item of a specific color; extract an object portion image of a virtual make-up from a facial image; extract color information from the object portion image; designate an item of the virtual make-up corresponding to a stored cosmetic item and output a color image by applying a color corresponding to the designated item on the object portion image; output a texture image, based on analyzed color information corresponding to a stored cosmetic item, by adding a texture component to a part of the object portion image; and display a virtual make-up image of virtual make-up using the designated item applied on the facial image, by using the color and texture images, and the object portion image of the virtual make-up of the facial image.

A method of predicting hydraulic fracturing and associated risks of hydraulic fracturing operation is proposed. The methods use the mathematical simulation which allow to predict the geometry of a hydraulic fracture and location of fluids, propping agents (proppant), fibers and other materials therein. Reconsidering the fracturing design allows to remedy the possible risks (overflush, screen-out, bridging, gel contamination, temperature effects).

A method of predicting hydraulic fracturing and associated risks of hydraulic fracturing operation is proposed. The methods use the mathematical simulation which allow to predict the geometry of a hydraulic fracture and location of fluids, propping agents (proppant), fibers and other materials therein. Reconsidering the fracturing design allows to remedy the possible risks (overflush, screen-out, bridging, gel contamination, temperature effects).

A method is provided for determining the shape of a surgical linking device that is to be attached to a bony body structure such as the spinal column based on digitized locations of a plurality of attachment elements engaged to the bony structure. The method is implemented by a computer system through a GUI to generate an initial bend curve to mate with the plurality of attachment elements. The initial bend curve may be simplified based on user input to the GUI to reduce the number of bends necessary to produce a well-fitting linking device and may be altered to help obtain the goals of surgery.

A method is provided for determining the shape of a surgical linking device that is to be attached to a bony body structure such as the spinal column based on digitized locations of a plurality of attachment elements engaged to the bony structure. The method is implemented by a computer system through a GUI to generate an initial bend curve to mate with the plurality of attachment elements. The initial bend curve may be simplified based on user input to the GUI to reduce the number of bends necessary to produce a well-fitting linking device and may be altered to help obtain the goals of surgery.

This invention presents a framework for applying artificial intelligence to aid with product design, mission or retail planning. The invention outlines a novel approach for applying predictive analytics to the training of a system model for product design, assimilates the definition of meta-data for design containers to that of labels for books in a library, and represents customers, requirements, components and assemblies in the form of database objects with relational dependence. Design information can be harvested, for the purpose of improving decision fidelity for new designs, by providing such database representation of the design content. Further, a retrieval model, that operates on the archived design containers, and yields results that are likely to satisfy user queries, is presented. This model, which is based on latent semantic analysis, predicts the degree of relevance between accessible design information and a query, and presents the most relevant previous design information to the user.

Systems and methods include a method providing automated production optimization for smart well completions using real-time nodal analysis including comingled production calibration. Real-time well rates and flowing bottom-hole pressure data are collected at various choke settings for multiple flow conditions for each lateral of a multilateral well during regular field optimization procedures. Surface and downhole pressures and production metrics for each of the laterals are recorded for one lateral at a time during production of the well. Flowing parameters of individual laterals are estimated using the multilateral well production model. An optimum pressure drop across each downhole valve is determined using the multilateral well production model. Each lateral of the multilateral well is calibrated during the commingled production at various choke valves settings. The calibrating is done using the multilateral well production model, based at least in part on the optimum pressure drop across each downhole valve.

Systems and methods include a method providing automated production optimization for smart well completions using real-time nodal analysis including comingled production calibration. Real-time well rates and flowing bottom-hole pressure data are collected at various choke settings for multiple flow conditions for each lateral of a multilateral well during regular field optimization procedures. Surface and downhole pressures and production metrics for each of the laterals are recorded for one lateral at a time during production of the well. Flowing parameters of individual laterals are estimated using the multilateral well production model. An optimum pressure drop across each downhole valve is determined using the multilateral well production model. Each lateral of the multilateral well is calibrated during the commingled production at various choke valves settings. The calibrating is done using the multilateral well production model, based at least in part on the optimum pressure drop across each downhole valve.

A hybrid rule-based Artificial Intelligence (AI) document processing system processes a non-editable document with at least one invoice to accurately extract data from tables in the invoices. The non-editable document is preprocessed for conversion into a markup format and pages including the invoice are identified. The invoice is processed via a document process by parsing the pages in different directions to generate a first set of predictions and via a block process wherein logical information blocks from the invoice are processed to generate a second set of predictions. The missing entries from a selected table are identified by applying rules to the first set of predictions and the second set of predictions. Any discrepancy between the missing entry values between the first and second set of predictions are resolved and the resulting data is exported to downstream systems for further uses.