Abstract: A method is proposed for identifying an anatomical structure within a spatial-temporal image (i.e. a series of frames captured as respective times). A current frame of spatial-temporal medical image is processed using information from one or more previous and/or subsequent temporal frames, to aid in the segmentation of an object or a region of interest (ROI) in a current frame. The invention is applicable to both two- and three-dimensional spatial-temporal images (i.e., 2D+time or 3D+time), and in particular to cardiac magnetic resonance (CMR images). An initialisation process for this method segments the left ventricle (LV) in a CMR image by a fuzzy c-means (FCM) clustering algorithm which employs a circular shape function as part of the definition of the dissimilarity measure.

Abstract: One aspect of the invention provides a computer-implemented method for tracking a plurality of spermatozoa. The method includes: identifying a coordinate for each of the plurality of spermatozoa in a plurality of video frames; and applying a nearest-neighbor joint probabilistic data association filter (NN-JPDAF) algorithm to associate the coordinates with one or a plurality of sperm tracks. Another aspect of the invention provides a non-transitory computer-readable medium containing program instructions executable by a processor. The computer-readable medium can include program instructions for performing a method as described herein. Another aspect of the invention provides a system including: a processor and a computer-readable medium including program instructions for performing a method as described herein.

Abstract: Disclosed are novel computer-implemented methods for creating a blood vessel map of a biological tissue. The methods comprise the steps of, accessing image data corresponding to multi-channel multiplexed image of a fluorescently stained biological tissue manifesting expression levels of a primary marker and at least one auxiliary marker of blood vasculature, and extracting features of blood vessels using the primary marker as an input to create a single channel segmentation of the blood vessels. The method further comprises the steps of extracting features of blood vessels using the auxiliary marker to create auxiliary channels as a second input and apply multi-channel blood vessel enhancement.

Abstract: Systems and methods are disclosed for automatically segmenting a heart chamber from medical images of a patient. The system may include one or more hardware processors configured to: obtain image data including at least a representation of the patient's heart; obtain a region of interest from the image data; organize the region of interest into an input vector; apply the input vector through a trained graph; obtain an output vector representing a refined region of interest corresponding to the heart based on the application of the input vector through the trained graph; apply a deformable model on the obtained output vector representing the refined region of interest; and identify a segment of a heart chamber from the application of the deformable model on the obtained output vector.

Abstract: An x-ray imaging system data acquisition and image reconstruction system and method are disclosed which enable optimizing the image parameters based on multiple tomographic volumes of the sample that have been captured using an x-ray microscopy system. This enables the operator to control the image contrast, for example, of selected slices, and apply the information associated with optimizing the contrast of the selected slice to all slices in two or more tomographic volume data sets. This creates a combined volume with optimized image contrast throughout. Also, the system enables navigation within the volumes through functional annotation, improvements in volume registration and improvements in noise suppression both within the volumes and within slice histograms of the sample.

Abstract: The present disclosure describes a system and method to segment optical coherence tomography (OCT) images. The present system uses a hybrid method that employs both Bayesian level sets (BLS) and graph-based segmentation algorithms. The system first identifies retinal tissue within an OCT image using the BLS algorithms. The identified retinal tissue is then further segmented using the graph-based segmentation algorithms.

Abstract: An image processing apparatus includes an attention area detection unit, a luminance parallax conversion unit, and a parallax estimation unit. The attention area detection unit is configured to detect an attention area including a desired subject from a standard image. The luminance parallax conversion unit is configured to perform a luminance parallax conversion with respect to the attention area on the basis of a luminance parallax conversion characteristic estimated by using a past frame. The parallax estimation unit is configured to perform parallax estimation on the basis of the standard image and a reference image, a viewpoint position of which is different from that of the standard image, and perform, in the attention area, the parallax estimation by using a luminance parallax conversion result obtained by the luminance parallax conversion unit.

Abstract: Embodiments of the present invention provide a method for obtaining vital sign data of a target object, including: obtaining a 3D depth image of a target object; obtaining, according to depth values of pixels in the 3D depth image of the target object, framework parameters of the target object and a graphic contour of the target object, where the depth value, is obtained according to the distance information, indicates a distance between a point on the target object and the imaging device; retrieving a 3D model matching the framework parameters of the target object and the graphic contour of the target object from a 3D model library, and obtaining a parameter ratio of the 3D model; obtaining at least one real size of the target object; and obtaining vital sign data of the target object according to the parameter ratio of the 3D model and the at least one real size.

Abstract: A method of processing a plurality of time separated images comprises selecting a plurality of imaging units in each image; measuring a temporal difference in each imaging unit; and selecting temporal differences above a threshold limit.

Abstract: The present disclosure illustrates a work mode control method. The work mode control method includes the following steps. First, capturing an image once every capturing interval. Next, determining a shutter time, an average brightness and an image quality in response to the images. The shutter time is associated with a frequency of the optical encoder to capture the images. The average brightness is associated with a brightness of environmental light sensed by the optical encoder. The image quality is associated with clarity of the images. Then, adjusting a work mode of the optical encoder in response to the shutter time, the average brightness and the image quality. Finally, controlling the optical encoder to enter a rest mode when the shutter time is higher than a first threshold, the average brightness is higher than a second threshold, and the image quality is lower than a third threshold.

Abstract: In one example implementation, a system for aligning of images of a three-dimensional (3D) object includes a select engine to select a first image and a second image from a sequence of images of a 3D object taken at different object orientations from a capture cycle of a scanner, a combine engine to combine first metadata from the first image and second metadata from the second image to form combined metadata, an orientation engine to select a third image from the sequence of images, where the third image is from an opposite object orientation relative to a first object orientation of the first image or a second object orientation of the second image, and an align engine to align the sequence of images based on the combined metadata and third metadata from the third image.

Abstract: An image apparatus may be configured to calculate a depth of an object relative to the image apparatus. The image apparatus may include an image sensor that may capture a plurality of images of the object. Depth calculation may include calculating a binocular disparity using the plurality of images, measuring a local temperature value from at least one temperature sensor, correcting a focal length of at least a portion of the image apparatus according to the measured local temperature value, and calculating a depth of the object using the binocular disparity and the corrected focal length. The corrected focal length may be determined based on a focal length variation value. The focal length variation value may be determined based on performing contrast autofocus on one or more captured images and the local temperature value.

Abstract: A method and device for improving the accuracy of depth information derived from a structured-light image for a regular image are disclosed. In one example, an additional structured-light image is captured before a first structured-light image or after a regular image. The depth information for the regular image can be derived from the first structured-light image and corrected by incorporating depth information from the additional structured-light image. A model for depth information can be used to predict or interpolate depth information for the regular image. In another example, two regular sub-images may be captured with a structured-light image in between. If substantial frame differences or substantial global motion vector/block motion vectors are detected, the two regular sub-images will not be combined in order to avoid possible motion smear. Instead, one of the two sub-images will be selected and scaled as the output regular image.

Abstract: A computing device for detecting an object of interest in an image is provided. The computing device includes a memory device and a processor to process image data by evaluating pixel contrast to facilitate detecting an edge transition in an image, by identifying neighboring pixels that are above a predetermined contrast value, which represent a potential object of interest, filtering the pixels based on color information to identify areas where there is a color edge transition, applying a convolution filter mask to yield regions of pixels having a localized concentration of contrast and color changes, applying a threshold filter for identifying those pixel regions having values that are greater than a predetermined threshold value and grouping the identified pixel regions into one or more groups representing an object of interest, and generating an alert to notify an operator that the object of interest in the image has been detected.

Abstract: A method and apparatus for detecting a traffic state and electronic equipment where the apparatus includes: a first calculating unit configured to detect a contour of an object from a region of interest of a traffic surveillance image to generate a contour image, and calculate an occupation ratio of the contour in the region of interest based on the contour image; a first detecting unit configured to detect whether there exists an object of a predetermined size moving in the region of interest, and determine a motion state of a vehicle in the region of interest; and a first determining unit configured to determine a traffic state according to the occupation ratio and the motion state. The embodiments of the present disclosure determine a traffic state according to the number of vehicles and motion states of the vehicles in the traffic surveillance image.

Abstract: The present disclosure relates to a method and a system for image segmentation, the technique includes: obtaining a lung image and a lung model based on a plurality of chest image samples in a training set; pre-processing a lung image; acquiring a binary image of boundaries of the lung image; performing the generalized Hough transform on the binary image to locate initial boundaries of the lung image and obtain a Hough location; aligning the lung model to Hough location to obtain an alignment result; applying dynamic programming algorithm to the alignment result to obtain a segmentation result; and transforming the segmentation result back to the original coordinate system.

Abstract: This disclosure describes a system and a method of extracting kinematic data, the method of extracting kinematic data, the method includes the steps of positioning a camera so that a test component is in a video frame; recording the test component using the camera while the test component is operating to generate video data; measuring kinematic values of a reference component; defining a search region in the video data encompassing an area of the test component; analyzing the measured kinematic values of the reference component; calculating, based on the analyzed kinematic values of the reference component, kinematic values of the test component; and generating an output file containing the calculated kinematic values of the test component.

Abstract: A method includes illuminating a material with first light along an optical path. The method also includes capturing an image of second light transmitted through the material using a first detector, where a first portion of the second light follows the optical path of the first light and a second portion of the second light diverges from the optical path. The method further includes capturing one or more measurements of third light using a second detector. The third light diverges from the optical path by a larger amount than the second portion of the second light, and the second detector is spaced apart from the first detector. In addition, the method includes determining one or more haze values associated with the material based on the image and the one or more measurements and at least one of storing and outputting the one or more haze values.

Abstract: A thickness of a first layer in a structure may be measured based on an original image of the structure. A first boundary of the first layer may be identified in the original image. A second boundary that is substantially indistinguishable in the original image may be identified based on converting the original image into a first image based on the first boundary and generating a second image based on filtering the first image. The first image may be generated based on adjusting partial image portions of the original image to align the representation of the first boundary with an axis line, such that the first image includes a representation of the first boundary that extends substantially in parallel with the axis line. The second boundary may be identified from the second image, and the thickness of the layer may be determined based on the identified first and second boundaries.

Abstract: A system of measuring a line-of-sight of an observer including an user imaging unit which is wearable by an observer of an object in a display space and captures a field view image in front of the observer, an user measurement unit which is wearable by the observer and obtains line-of-sight measurement data showing a line-of-sight direction of the observer relative to a coordinate system of the field view image, and a line-of-sight measurement apparatus which obtains a gaze point of the observer based on a coordinate position where 3D shape data of the display space including the object intersect a vector of the line-of-sight direction of the observer.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for rendering an image. One of the methods includes, for each of a plurality of pixels of the image: maintaining current color data for each of a plurality of render elements generated by sampling color contribution values for the render element for the pixel; determining, for each of the plurality of render elements, whether or not to sample another color contribution value for the render element from the current color data for the render element for the pixel and the current color data for the render element for one or more pixels that neighbor the pixel in the image; and sampling a new color contribution value only for the render elements for which it was determined to sample another contribution value.

Abstract: A display apparatus includes a color selector configured to select a preferred color corresponding to at least one among a main target and a sub-target determined in an image based on color distribution; a color converter configured to perform color conversion by setting a degree of color conversion of at least one among the main target and the sub-target and converting a color of the at least one among the main target and the sub-target in the image based on the set degree of color conversion; and a controller configured to display the color-converted image via a display panel.

Abstract: Example-based edge-aware directional texture painting techniques are described. Inputs are received that define a target direction field and a plurality of edges as part of a target shape mask. A texture is synthesized from a source image by the computing device to be applied to the set of pixels of the target mask using a source shape mask and a source direction field. The source shape mask defines a plurality of edges of the source mask such that the synthesized texture applied to the plurality of edges of the target shape mask correspond to respective ones of the plurality of edges of the source shape mask. The source direction field is taken from the source image such that the synthesized texture applied to the target direction field corresponds to the source direction field. The pixels in the user interface are painted by the computing device using the synthesized texture.

Abstract: A method of reconstructing an image of an object, the method including: determining, by a plurality of sensors, a waveform based on the object, wherein the plurality of sensors view the object from a plurality of directions; determining, by a pre-processing module, a plurality of measurements of the object using the waveform, wherein the plurality of measurements are arranged in a vector form; determining, by an option module, a sampling matrix, a dictionary, and a noise factor, wherein the sampling matrix represents a geometric arrangement of the plurality of sensors, and the dictionary is pre-selected by the option module; estimating, by an estimation module, a coefficient vector using the measurements, the sampling matrix, and the noise factor; and reconstructing, by a reconstruction module, the image, using the coefficient vector and the dictionary.

Abstract: A method and system are provided. The method includes pre-computing, by a computing device having a processor, a plurality of coefficients for a given two-dimensional point on which a voxel of a three-dimensional object is projected, based on integer parts of coordinates of surrounding two-dimensional points with respect to the given two-dimensional point. The plurality of coefficients lack inclusion of the coordinates. The method further includes storing, by a non-transitory storage device, the plurality of coefficients. The method additionally includes computing, by the computing device during a back-projection operation that forms a reconstructed three-dimensional image, an intensity value at the given two-dimensional point. The computing device computes the intensity value by reading the plurality of coefficients from the non-transitory storage device and combining the plurality of coefficients with the coordinates.

Abstract: Image processing method is presented along with reference source code and sample outputs. This method processes 2 (or more) input images which were obtained at different photon energies (or differing in another parameter), and produces an output image that emphasizes the best characteristics of each of the input images, while suppressing the undesired characteristics of each input image. This is different from prior dual-energy CT methods which produce an intermediate compromise image, with an intermediate soft tissue contrast and intermediate artifact suppression, and also different from prior methods that sacrifice soft tissue contrast to maximize artifact reduction.

Abstract: A segmentation-and-spectrum-based metal artifact reduction (MAR) system and method is applied in polychromatic X-ray CT system that uses a priori knowledge of high-Z metals in samples which contribute the primary artifacts at a known x-ray energy spectrum. Using a basis materials decomposition, the method solves the problem of reducing or eliminating metal artifacts associated with beam hardening using only a single scan of the sample performed at selected x-ray energy.

Abstract: Various implementations described herein are directed to a non-transitory computer-readable medium having stored thereon a plurality of computer-executable instructions which, when executed by a computer, cause the computer to perform various actions. The actions may include receiving a plurality of geographical location data over time, receiving secondary data associated with the geographical location data, and rendering an image of the plurality of geographical location data as a trail, wherein a graphical attribute of the trail is variable based on variations in the secondary data.

Abstract: A method and systems of applying a contour gradient to a two-dimensional path are provided. A three-dimensional polygonal shell may be constructed from the two-dimensional path. Then the three-dimensional polygonal shell may be projected into two dimensions, resulting in a two-dimensional projected model, while saving values for a third dimension for each point in the two-dimensional projected model. Then a range of all values for the third dimension in the two-dimensional projected model is determined from the saved values. The range can then be mapped to a visual attribute. The two-dimensional projected model may be displayed using the mapped visual attribute.

Abstract: An input graph is decomposed into a graph topology component and a graph properties component. A matrix representation is generated for each of the graph topology component and the graph properties component. Each of the graph topology matrix representation and graph properties matrix representation are partitioned into one or more sub-matrices. A forward pass comprising one or more vectorized operations is performed over the one or more sub-matrices. An output matrix is generated in response to the performing step.

Abstract: Various implementations are directed to using chlorophyll data for a marine environment. In one implementation, a non-transitory computer-readable medium may have stored thereon computer-executable instructions which, when executed by a computer, cause the computer to receive chlorophyll data from one or more chlorophyll sensors disposed on a vessel in real-time or substantially near real-time, where the chlorophyll data corresponds to a marine environment proximate to the vessel. The computer-executable instructions may also cause the computer to analyze the received chlorophyll data to determine one or more real-time or substantially near real-time chlorophyll concentrations of the marine environment. The computer-executable instructions may further cause the computer to generate a display based on the real-time or substantially near real-time chlorophyll concentrations.

Abstract: Systems and methods for managing choreography in a simple and efficient manner are disclosed. The disclosed systems and methods allow a user, such as a choreographer, director, or producer, to document the movement of each performer in a performance or other choreography. Choreography of each performer can be documented in as much detail as desired and coordinated with a beat of music, a timeline of a dialogue, and/or the movements of other performers. The disclosed systems and methods provide for creation of precise spacing charts. The documentation and charts can be linked or otherwise associated together and/or linked or otherwise associated with a section of a script of the performance.

Abstract: Systems and methods are presented for representing non-numerical data objects in an object time series. An object time series of can be created by establishing one or more associations, each association including a mapping of at least one point in time with one or more objects that include properties and values. Visual representation of an object time series may include displaying non-numerical values associated with objects in the object time series in association with respective points in time.

Abstract: An image processing program for causing a computer to execute: a procedure for obtaining a first image; a procedure for obtaining a second image; a procedure for changing at least a part of the second image in accordance with a signal; and a procedure for processing the first image using the changed second image. The second image is at least one of a handwritten image, a letter image, and a selected image, and the signal is used in a process which splashes the second image in a procedure which changes at least a part of the second image.

Abstract: A method, a system, and computer program product for creating a composite image from multi-frame raw image data. The method includes extracting each individual frame from a plurality of frames within raw image data and determining a sharpness score for a region of each individual frame. A particular frame that has a sharpest region from among the plurality of frames is then selected as a reference frame. Each pixel in the reference frame is then registered to a plurality of corresponding pixels from non-reference frames of the plurality of frames. Equivalent pixels from the reference frame and each non-reference frame are then summed to create a composite image.

Abstract: A system, method, and computer-readable medium are disclosed for memorizing a configuration sequence comprising: capturing an image of a device to be configured; recording a configuration sequence of physical movements performed by a user when configuring the device to provide a recorded configuration sequence; overlaying the sequence of physical movements with the image of the device to provide an overlaid image of the configuration sequence; and, storing the sequence of physical movements and the overlaid image of the configuration sequence.

Abstract: This invention refers to methods and computer programs which input is a text and outputs are images, sounds and information related with text. User defines rules and parameters to accomplish his expectations. The text source can be anything having written text, like books or anything that has written symbols using any language. By means of iterations, changing rules, algorithms and expectations allows to achieve useful or beautiful images to be used for artistic, commercial or educational proposes. As implementations are two computer programs that take the Bible as source giving the option to select the text and the rules to generate the images and information. One program is focus on numbers mentioned in the Bible and second in words, letters and numbers regarding a single verse selected by user. This methods and programs can be used as source not only the Bible but any book.

Abstract: Methods and systems related to image segmentation are disclosed. In some examples, a computer system obtains segmentation parameters based on a selection of a region of a displayed image. The selection of the region is associated with a select signal generated by an input device. In response to obtaining the segmentation parameters, the computer system processes the image based on the segmentation parameters. The computer system further adjusts the segmentation parameters based on one or more move signals generated by the input device. The move signal is associated with moving of a representation of the input device within the image. The computer system processes the image based on the one or more adjusted segmentation parameters and displays an image of the selected region based on the processing of the image using the adjusted segmentation parameters.

Abstract: The invention is related to a method of presenting a digital information related to a real object, comprising determining a real object, providing a plurality of presentation modes, wherein the plurality of presentation modes comprises an augmented reality mode, and at least one of a virtual reality mode and an audio mode, providing at least one representation of a digital information related to the real object, determining a spatial relationship between a camera and a reference coordinate system under consideration of an image captured by the camera, selecting a presentation mode from the plurality of presentation modes according to the spatial relationship, and presenting the at least one representation of the digital information using the selected presentation mode.

Abstract: The disclosure discloses a method for erasing a writing path on an infrared electronic white board, the method including: adding data points to a writing path to obtain a complete writing path in which the distance between any two adjacent data points is no more than an erasing distance corresponding to a selected erasing mode; determining an erasing area according to an input erasing path and the erasing mode; and erasing those data points on the complete writing path, which lie in the erasing area.

Abstract: The embodiments of the present invention provide a method and a device for determining scoring models of a three-dimensional animation scene frame, the method comprising: obtaining a dataset of three-dimensional animation scene frames; obtaining a predetermined stereoscopic effect standard score and a predetermined visual comfort standard score corresponding to each three-dimensional animation scene frame; obtaining the disparity map of each three-dimensional animation scene frame, extracting disparity statistic features of each three-dimensional animation scene frame based on its disparity map, and combining the disparity statistic features into one feature vector; and, determining the stereoscopic effect scoring model and the visual comfort scoring model for a three-dimensional animation scene frame respectively based on the feature vector of each three-dimensional animation scene frame in conjunction with the corresponding stereoscopic effect standard score and visual comfort standard score, in order to ac

Abstract: An information processing apparatus includes a bio-information obtaining unit configured to obtain bio-information of a subject; a kinetic-information obtaining unit configured to obtain kinetic information of the subject; and a control unit configured to determine an expression or movement of an avatar on the basis of the bio-information obtained by the bio-information obtaining unit and the kinetic information obtained by the kinetic-information obtaining unit and to perform a control operation so that the avatar with the determined expression or movement is displayed.

Abstract: A method of displaying caustics, the method includes determining intersection positions at which rays emitted from a light source pass through particles of a first object and meet a second object; applying caustic textures to the intersection positions; and rendering the first object using a caustic map based on a result of the applying caustic textures to the intersection positions.

Abstract: A method for improving performance of generation of digitally represented graphics. The method comprises: receiving a first representation of a base primitive; providing a set of instructions associated with vertex position determination; executing said retrieved set of instructions on said first representation of said base primitive using bounded arithmetic for providing a second representation of said base primitive, and subjecting said second representation of said base primitive to a culling process. A corresponding apparatus and computer program product are also presented.

Abstract: Novel application of pre-existing flood-fill and thresholding algorithms to radiologic images for the purposes of facilitating and accelerating the task of visual radiologic evaluation of the gastrointestinal tract is presented. This invention facilitates evaluation, in a manner that is useful in the contexts of finding a bowel transition point in cases of suspected bowel obstruction, and for facilitating determination of prior unknown surgical bowel alteration (such as Roux-en-Y, Billroth procedures). The invention processes the radiologic 3D or 4D image set, and aims to eliminate or suppress air-fluid or air-contrast levels within the bowel, thereby presenting the radiologist with bowel lumen that is nearly uniform in shade throughout its course, facilitating tracking along the length of the bowel.

Abstract: An application generates instructions to a wearable device to remotely activate a sensor in the wearable device and to receive sensor data from the sensor. A query related to a physical object is received. Instructions to wearable devices are generated to remotely activate at least one sensor of the wearable devices in response to the query. Sensor data is received from at least one of the wearable devices in response to that wearable device being within a range of the physical object.

Abstract: A method and system for creating and refilling holes in image data is disclosed herein. The method can include receiving scanned image data that represents a tangible object, and that can be generated by an object scanner from the tangible object and converting the scanned image data to polygonal data that can be a collection of vertices, edges and faces. The method can include identifying geometry in the polygonal data for hole cutting and cutting a hole by removing the identified geometry from the scanned image data. The method can include generating modified polygonal data by filling the cut hole with polygonal data and outputting the modified polygonal data.

Abstract: Systems and methods are provided for utilizing depth from volume rendering for 3D printing. Three-dimensional (3D) mesh data may be generated based on one or more volume rendered images and/or volumetric datasets corresponding thereto, obtained during medical imaging (e.g., based on echo ultrasound signals during ultrasound imaging). Generating the 3D mesh data may comprise computing a plurality of depth values, where each depth value corresponds to a particular voxel in the volumetric medical imaging datasets. The 3D mesh data may be configured to enable producing a physical volume representation of one or more objects and/or structures in the one or more volume rendered images. Thus, the 3D mesh data may be used for 3D printing. For example, 3D printing data may be generated based on the 3D mesh data. The 3D printing data may be configured and formatted based on a pre-defined 3D printing standard or file format.

Abstract: A computer-implemented method for designing a manufacturable garment provides a three-dimensional shape representing a garment segmented into a set of three-dimensional panels (3DP). Next the method computes for each three-dimensional panel, a corresponding flattened pattern (FP). The method defines a mesh (MF, M3D) on each of said three-dimensional panels and flattened patterns; and simulates a draping of the segmented three-dimensional shape over a three-dimensional manikin (MK) by progressively imposing a constraint that each mesh element (ME3) of said three-dimensional panels adopts dimensions (EEL) of a corresponding mesh element (MEF) of the corresponding flattened pattern while it conforms to the manikin shape. A computer program product, a non-volatile computer-readable data-storage medium and a Computer Aided Design system may carry out such a method. Also application of such a method to the manufacturing of a real garment.

Abstract: Methods and computer-storage media are provided for rendering three-dimensional (3D) graphics by tessellating objects using novel structures and algorithms. Rendering utilizing “patches,” configurable functions that include a specified number of control points, allows for computation on a per-patch or per-control-point basis, in addition to traditional per-vertex, per-primitive, and per-pixel methods. This produces a number of advantages over previous tessellation methods, including the reuse of computations across existing vertices and the ability to process at a lower frequency. The operations to compute points are simplified in order to optimize system resources used in the process. Transitions from un-tessellated to tessellated objects are smoother utilizing the present invention, while developers have more flexibility in the level of detail present at different edges of the same patch.