Abstract: A system, method and computer program product are provided for packing graphics attributes. In use, a plurality of graphics attributes is identified. Such graphics attributes are packed, such that the packed graphics attributes are capable of being processed utilizing a pixel shader.

Abstract: The moving images under reproduction are displayed in a main screen and a plurality of thumbnail images that serve as indexes by which to search for a desired scene are displayed. Moreover, the thus displayed thumbnail images are updated at a predetermined timing according as the moving images progress.

Abstract: An image correcting device includes an image input section, image storage section, correction table storage section, geometry correcting section subjecting an input image to geometrical correction based on a correction table, and image output section outputting the input image as a corrected image. The table is created by: calculating a pair of angles (?, ?) corresponding to each pixel position on the output image as the corrected image; calculating a light direction based on an intersection line between a plane obtained by rotating a YZ plane by angle ? about Y axis and that by rotating an XZ plane by angle ? about X axis, in three dimensional Cartesian coordinate system with origin at a projection center of the input image; calculating a position on the input image corresponding to the light direction, as a resampling position; and associating the resampling position with the pixel position on the output image.

Abstract: An image processing method includes storing corresponding addresses of original image data in respective addresses of a look-up table, the number of the respective addresses being smaller than the number of addresses that are necessary in output image data; determining whether the addresses of the original image data corresponding to the addresses of the output image data exist in the look-up table; calculating the addresses of the original image data in a first interpolation process if the addresses do not exist in the look-up table; and generating the output image data corresponding to the addresses of the output image data in a second interpolation process based on the original image data by using at least one of the calculated addresses of the original image data and the addresses of the original image data in the look-up table.

Abstract: Some embodiments of the present invention may relate to a device and a method of enabling an automatic global matching of a plurality of images to provide a substantially consistent planar representation of a fundus. According to some embodiments of the invention, a device for enabling an automatic global matching of a plurality of images to provide a substantially consistent planar representation of a fundus may include a local matching module and a global matching module. The local matching module may be adapted to locally match a pair of overlapping images. As part of locally matching the images, the local matching module may be adapted to provide a best offset vector for the images based upon a matching of features from overlapping portions of the images. The global matching module may be adapted to globally match at least a triplet of locally matching pairs of images whose best offset vector sum is substantially zero.

Abstract: An algorithm for removing visual motion from a sequence of two or more images is disclosed. This algorithm may be performed with a camera system having an image sensor capable of downsampling the raw pixel image according to downsampling grid offset by a raw pixel amount. In a first exemplary embodiment a first and second downsampled image are grabbed at different times. Then the displacement between these downsampled images is computed. A third downsampled image is grabbed with an offset based on the displacement. The first and third downsampled images are lined up and cropped. If the camera system itself is moving, moving targets or other objects may be detected by parallax from the first and third downsampled images. In a second exemplary embodiment a block or feature is selected in the visual scene and then a first downsampled image is acquired. After a delay the motion of the block or feature is determined. A second downsampled image is acquired with an offset based on the motion of the block or feature.

Abstract: An image processing apparatus, which can automatically arrange a plurality of images, includes a rectangle generation unit configured to divide the plurality of images into two or more groups and generate, for each group, a rectangle in which images of the group can be arranged. The image processing apparatus includes a determination unit configured to generate a new rectangle by combining two of the rectangles generated by the rectangle generation unit, in which a rectangle composed of the plurality of groups is generated in such a way as to locate all frames of the plurality of images in the rectangle, and further configured to determine a layout of frames of the plurality of images. The image processing apparatus further includes an image generation unit configured to generate an image of the plurality of images disposed in one rectangle based on the layout of the frames of the plurality of images determined by the determination unit.

Abstract: A method and system for registering a first image of, for example, a liver and a second image of the liver being contrast-enhanced comprises: deriving a statistical similarity measure between images; deriving a smooth divergence-free vector field derived from a gradient of the statistical similarity measure; and integrating the vector field for providing a fluid-based algorithm including a volume-preserving constraint for a transformation for registering the images.

Abstract: A data-generating apparatus comprising a bitmap data-generating unit to generate binary bitmap data indicating an image-formed area and an image-excluding area based on the figure information in response to the figure-describing data being inputted, a judging unit to judge whether modifying information is included in the figure-describing data, a modifying unit to modify the bitmap data based on the modifying information, and an image-forming data-generating unit to generate the image-forming data based on the bitmap data modified by the modifying unit and the pattern information in response to the judging unit determining that the modifying information is comprised in the figure-describing data and generates the image forming data based on the bitmap data generated by the bitmap data-generating unit and the pattern information in response to the judging unit determining that no modifying information is comprised in the figure-describing data, is provided.

Abstract: A method and hand-held scanning apparatus for three-dimensional scanning of an object is described. The hand-held self-referenced scanning apparatus has a light source for illuminating retro-reflective markers, the retro-reflective markers being provided at fixed positions on or around the object, a photogrammetric high-resolution camera, a pattern projector for providing a projected pattern on a surface of the object; at least a pair of basic cameras, the basic camera cooperating with light sources, the projected pattern and at least a portion of the retro-reflective markers being apparent on the 2D images, a frame for holding all components in position within the hand-held apparatus, the frame having a handle, the frame allowing support and free movement of the scanning apparatus by a user.

Abstract: A 3D graphics processing method includes receiving a homogeneous coordinate and an attribute value of both end points of one scan line of a polygon composed of a plurality of perspective projected vertices, calculating a reference value indicating an amount of perspective distortion in the scan line using the received homogeneous coordinates, and interpolating an attribute value of each of pixels of the scan line using at least some of the received homogeneous coordinates and attribute values, the attribute value interpolated by selectively applying perspective correction to each pixel based on the reference value.

Abstract: A de-warp map is generated by applying principal component analysis (PCA) to vectors describing aspects of identified features of an object in an image. PCA provides vectors and coefficients describing curvature or image warping at selected points in the image. Estimates of the warping of the image generally are generated by interpolation and/or extrapolation from the vectors and coefficients provided by PCA. In some applications only two features need be identified. For example, the complicated curvature of the facing pages of an open book can be characterized by two vectors describing positions of top and bottom edges of the book. In such applications PCA can reduce to vector subtraction to determine a basis vector, vector addition and scaling to determine an average vector and simple assignment of known coefficient values. The de-warping map can be used to generate a de-warped version of the image.

Abstract: Spatial bandwidth imaging of the interior spaces and elements of a structure by transmission of low frequency, continuous-wave, narrow band signal or signals through the structure, measurement of the electric and magnetic components of the received signal received by narrow band Doppler or focused synthetic aperture methods over a range of signal paths extending from the transmitter and through the structure, and imaging of the effects of the interior space on the electric and magnetic components of the received signal.

Abstract: A method for rigid registration of ear impression models, including: extracting a canal region from an undetailed ear impression model, the undetailed ear impression model representing an undetailed surface of an ear canal and outer ear geometry; extracting a canal region from a detailed ear impression model, the detailed ear impression model representing a detailed surface of the ear canal; generating an orientation histogram for the canal region of the undetailed ear impression model and an orientation histogram for the canal region of the detailed ear impression model; performing a rotational alignment between the orientation histograms; computing a translational shift between the canal regions after performing the rotational alignment; and performing a registration between the undetailed and detailed ear impression models after computing the translational shift.

Abstract: An apparatus, and an associated methodology, by which to display multi-dimensional data. Data of a plurality of dimensions is mapped onto visualization dimensions of an asymmetrical facial image. The resultant image is of characteristics permitting a viewer of the image, once displayed at a display device, to readily discern the data or changes thereto.

Abstract: A device for the contactless optical determination of the position of an object. In particular, the present invention provides a method and device for the contactless optical determination of the 3D position of an object wherein an image of the object is generated by means of a camera and the 3D position of the object is calculated from the camera image based on the image information about detected geometrical characteristics. Determination of the 3D position of the object includes determination of the 3D position and the 3D orientation of the object.

Abstract: A method and apparatus for correcting misalignment between fields of view of a CT device and a NM device of a modular multimodality medical imaging system, by providing a Field Of View Calibration Matrix (FOV-CM) containing rotational and translational transformations between coordinate systems of the CT and NM systems.

Abstract: An improved method of high accuracy beam placement for local area navigation in the field of semiconductor chip manufacturing. This invention demonstrates a method where high accuracy navigation to the site of interest within a relatively large local area (e.g. an area 200 ?m×200 ?m) is possible even where the stage/navigation system is not normally capable of such high accuracy navigation. The combination of large area, high-resolution scanning, digital zoom and registration of the image to an idealized coordinate system enables navigation around a local area without relying on stage movements. Once the image is acquired any sample or beam drift will not affect the alignment. Preferred embodiments thus allow accurate navigation to a site on a sample with sub-100 nm accuracy, even without a high-accuracy stage/navigation system.

Abstract: The registration of images comprising generating a plurality of projections from a base frame and generating a plurality of projections from a movement frame. Comparing a set of projections from the base frame, with a second set of projections from the movement frame, and generating a global motion vector estimate to add to the base frame.

Abstract: A method for self-recalibration of a structured light vision system including a camera and a projector. A camera plane and a projector plane are defined, a Homography matrix between the camera plane and the projector plane is computed, and a translation vector and a rotation matrix are determined from Homography-based constraints. A computer vision system implementing the method is also described.

Abstract: This invention describes a quick 3D-to-2D point matching algorithm. The major contribution is to substitute a new O(2n) algorithm for the traditional N! method by introducing a convex hull based enumerator and projecting a 3D point set into a 2D plane yields a corresponding 2D point set. In some cases, matching information is lost during the projection. Therefore, to compute projection parameters, the recovery of the 3D-to-2D correspondence is important. Traditionally, an exhaustive enumerator permutes all the potential matching sets and a calibration computation is used to choose the lowest residual error computed parameters as “correct” one. Our enumerator shrinks the search space by computing the convex hull for both 2D and 3D points set, validating the potential matching cases with a horizon validation and, finally, applying recursive computation to further reduce the searching space.

Abstract: In one embodiment, a method of displaying a representation of a frame includes identifying a molding type capable of being used in a frame. A set of digital images is obtained, wherein each one of the set of digital images represents molding of the molding type in a different one of a plurality of orientations. A representation of the frame is then displayed using the set of digital images.

Abstract: Z-buffer rendering of three-dimensional scenes is made more efficient through a method for occlusion culling by which occluded geometry is removed prior to rasterization. The method uses hierarchical z-buffering to reduce the quantity of image and depth information that needs to be accessed. A separate culling stage in the graphics pipeline culls occluded geometry and passes visible geometry on to a rendering stage. The culling stage maintains its own z-pyramid in which z-values are stored at low precision (e.g., in 8 bits). The efficiency of hierarchical z-buffering is improved through hierarchical evaluation of line and plane equations.

Abstract: Methods and apparatuses are disclosed to correct for tilt and/or perspective distortion in image capture devices. In some embodiments, the method may include reading an orientation measurement associated with a relative position of an image capture device with respect to an object, determining if the orientation measurement is less than a threshold, and in the event that the orientation measurement is less than the threshold, correcting an image obtained by the image capture device. In some embodiments, the apparatus may include an image sensor, a memory coupled to the image sensor, an orientation measurement device coupled to the image sensor, and a distance measurement device coupled to the image sensor, where the image data may be stored in the memory along with a measurement from the accelerometer and along with a measurement from the distance measurement device.

Abstract: Some embodiments of the present invention may relate to a device and a method of enabling the stabilization of a series of retinal angiography images to provide a coherent serial display, the method comprising: locally matching a pair of overlapping images, said locally matching includes at least providing a best offset vector for the images, wherein the best offset vector is provided based upon a matching of features from overlapping portions of the images; globally matching at least a triplet of matching pairs of images, wherein pairs of globally matching images include locally matching pairs whose best offset vector sum is substantially zero; choosing a key image; and aligning all the remaining images to the key image.

Abstract: Device and method capable of dynamically displaying digital images by coordinate conversion on a virtual plane are provided. The device includes a display unit, a storage unit, and a processing unit. The display unit includes a screen. The storage unit stores a digital image. The processing unit establishes a virtual plane including a display region corresponding to the screen of the display unit, projects the digital image on the virtual plane to form an image region, and decides a moving trace of the image region on the virtual plane. When the image region and the display region overlap, the processing unit calculates the overlap and displays a corresponding part of the digital image by reading from the storage unit on a corresponding part of the screen.

Abstract: An imaging device determines whether, in an image captured by an imaging unit, straight lines exist which meet a condition of automatic vertical line determination (S14). If straight lines meeting the condition exist (YES in S15), the imaging device performs a vertical line determination process to extract vertical lines and so on (S16). On LCD, the imaging device displays the vertical lines extracted in S16 together with auxiliary lines including one connecting a calculated vanishing point and a target point (S17). The imaging device detects its inclination based on these lines including the vertical lines, and displays a message of “OK” on LCD when the inclination is within a predetermined range to notify a user to that effect. Thus, without increasing the manufacturing cost, the imaging device can prevent a user from capturing a target object while the imaging device is inclined to the horizontal direction in an image space.

Abstract: An image morphing method is suitable for generating an intermediate image sequence. First, a control point CP={(pi,qi)}i=1 . . . N is specified and marked in a source image Is({right arrow over (x)}) and a destination image Id({right arrow over (x)}?). Next, an edge gradient parameter (Ise({right arrow over (x)}), Ide({right arrow over (x)}?) is computed according to the source image Is({right arrow over (x)}) and the destination image Id({right arrow over (x)}?). Next, a total objective function E(Df,Db) is computed according to the above-mentioned control point CP and edge gradient parameter (Ise({right arrow over (x)}), Ide({right arrow over (x)}?)). The above-mentioned intermediate image sequence is generated by using the total objective function E(Df,Db). The present invention utilizes the edge gradients of the source image Is({right arrow over (x)}) and the destination image Id({right arrow over (x)}?) to enhance the constraint of image morphing. Thus, the image morphing effect is promoted.

Abstract: A method of re-locating an object in a sample is provided for a previously-scanned slide having determined objects each with corresponding stored coordinates and a stored image, the objects being mapped relative to each other. The slide is positioned on a microscope stage, stored images of the objects are visually displayed, and a target object is selected. The slide is moved to an estimated coordinate position, corresponding to the coordinates of the target object, and a field-of-view image of the sample is captured for comparison to the stored image of the target. If the target is in the image, an offset between actual coordinates of the located target and the stored coordinates of the corresponding object is determined. The slide is then moved, via the stage, from the estimated coordinate position, according to the offset, to center the target in the image. Associated systems and methods are also provided.

Abstract: A method of registering 3-dimensional digitized images to 2-dimensional digitized images during a medical procedure includes providing a pair of correctly-registered training images L={lr, lf} and their joint intensity distribution pl(ir, if), wherein ir and if are reference and floating images, respectively, providing a pair of observed images O={or, of} and their joint intensity distribution po(ir, if), mapping a marginal intensity distribution of the observed pair O={or, of} to a marginal intensity distribution of the training pair L={lr, lf}, and estimating a set of parameters T that registers image of to image or by maximizing a weighted sum of a Jensen-Shannon divergence (JSD) of a joint intensity distribution of the observed pair and a joint intensity distribution of the training pair and a similarity measure between the observed images.

Abstract: A pattern matching method which is capable of selecting a suitable measurement object pattern, even on a sample containing a periodic structure, and a computer program for making a computer execute the pattern matching. In a pattern matching method which executes matching between the design data-based first image of an object sample, and a second image, whether or not a periodic structure is included in a region to execute the matching is determined, so as to select a pattern, based on distance between an original point which is set in said image, and the pattern configuring said periodic structure, in the case where the periodic structure is included in said region, and to select a pattern based on coincidence of the pattern in said image, in the case where the periodic structure is not included in said region, and a computer program product.

Abstract: Biometric data are obtained through a biometric input device (120) and subsequently pixelated via a pixelator (130). The pixelator (130) creates an image of the biometric data. Via a processing unit (110), a relationship between pixels of a transformed version of the image is asserted. Thus, the biometric data is rotated to a consistent inclination based on the relationship between pixels regardless of an orientation in which the biometric data were captured in the original image. Once the image has been transformed, features of the biometric data may be extracted and either stored in a data storage unit (140) or compared with previously stored feature values for validation of the biometric data.

Abstract: The present invention relates to a method for creating an icon (11, 12), representing a group of images comprising a plurality of images (1, 2, . . . , N). The icon is composed of a selection of images from that group of images. The method comprises: —determining a relative importance (I1, . . . IN) of each image (1, 2, . . . N) and —generating an icon composed of a selection of images based on the determined relative importance of each image.

Abstract: An image forming apparatus prints images on print sheets, and insets tab-index sheets between the printed print sheets. The image forming apparatus includes an orientation detecting unit which detects an orientation of a print sheet being supplied, a rotation-angle selecting unit which selects a rotation angle of an image such that the image is arranged in an orientation matching the detected orientation of the print sheet and in a predetermined positional relationship with a tab of the tab-index sheets, and a printing unit which prints the image being rotated by the selected rotation angle.

Abstract: An image processing apparatus includes a feature region extracting section, a feature amount calculating section, a position calculating section, first and second selecting sections and a correction factor calculating section. The feature region extracting section extracts feature regions. The feature amount calculating section calculates feature amounts of the extracted feature regions. The position calculating section calculates positions of the extracted feature regions. The first selecting section selects pairs of feature regions, which are estimated to be common in the first and second images, based on the feature amounts and the positions. The second selecting section narrows down the selected pairs of feature regions based on similarity in relative positional relation between the feature regions of the first and second images.

Abstract: A method for superimposing optical information in a scanning microscope includes determining a transformation matrix, and superimposing first optical information of a CCD image and second optical information of at least one piece of second image information using the transformation matrix.

Abstract: Methods of analyzing three dimensional data sets obtained from a sample over time are provided. A first three dimensional data set is obtained from the sample at a first time. A first volume intensity projection (VIP) image is created from the first three dimensional data set. One or more first landmarks are identified and registered in the first VIP image. A second three dimensional data set is obtained from the sample at a second time, different from the first time. A second VIP image is created from the second three dimensional data set. The one ore more first landmarks are identified and registered in the second VIP image. The first and second VIP images are aligned based on the registered one or more first landmarks in the first and second VIP images. Related systems and computer program products are also provided.

Abstract: An apparatus and method for stabilizing image frames in a video data stream. A weighted average or centroid of the intensity or hue associated with pixels vs. the horizontal and vertical position of each pixel is calculated for a reference frame in the video data stream. A corresponding centroid is calculated for a subsequent frame in the stream. This image frame is then translated so that the centroid of the subsequent frame and the centroid of the reference frame coincide, reducing artifacts from shaking of the video capture device. Alternatively, the video stream frames may be divided into tiles and centroids calculated for each tile. The centroids of the tiles of a subsequent frame are curve fit to the centroids of tiles in a reference frame. An affine transform is then performed on the subsequent frame to reduce artifacts in the image from movements of the video capture device.

Abstract: An image processing system includes an image capturing apparatus, and an image processing apparatus. The image capturing apparatus is configured to capture an image including an object, to obtain status information of the object, and to record the image and the status information of the object. The image processing apparatus is configured to specify details of a modification to be applied to the image according to the recorded image and status information of the object, to set setting information for modifying the image on the basis of the details of the modification, to extract a feature value from the image, and to record the setting information in a setting-information recording medium in association with the extracted feature value of the image.

Abstract: There is provided a method to print a composite image, by using a data processing apparatus, capable of generating first data, and an image forming apparatus, capable of generating second data and forming the composite image. The method includes providing one of a print instruction and a composition instruction to the data processing apparatus, setting a configuration of the second data, providing the one of the printing instruction and the composition instruction along with the first data to the image forming apparatus, reading and storing the second image, composing third data by combining the first data with the second data, judging whether the composition instruction is provided, pausing the printing operation when the composition instruction is provided, controlling reading the second image when the printing operation is paused, controlling the composition of the third data when the composition instruction is provided, and controlling forming the composite image.

Abstract: Systems and methods are described that facilitate real-time personalization of an electronic image by overlaying a text string on a planar surface of an object in the electronic image. A linear or affine transform is executed on a selected text string to position the text string in a reference rectangle or text box. A non-linear or projective transform is applied to the rectangular text box to project the box into a user-defined quadrilateral on the planar surface in the image. A page description language (PDL) file is generated and includes the transformed quadrilateral text box overlaid on the electronic image. At print-time, a database (e.g., a spreadsheet or the like) containing multiple text strings is read, once for each text string, and multiple images are printed. Each printed image has one of the text strings overlaid thereon, on the planar surface defined by the quadrilateral.

Abstract: A motion detecting part detects moving regions in a plurality of frame images captured by rolling shutter type exposure, and obtains a motion vector of the moving regions. A moving region correcting part corrects the moving region in a to-be-corrected frame image of the plurality of frame images on the basis of the motion vector, information on an image-capturing time interval between the plurality of frame images, information on an exposure starting time difference resulting from the difference in position in one frame image caused by the rolling shutter type exposure and information on an exposure start sequence depending on the position in one frame image captured by the rolling shutter type exposure.

Abstract: Land-based vehicle including an arrangement for monitoring objects in or about a vehicle includes a source from which modulated illumination is emitted into an area in or about the vehicle, a receiver arranged to receive illumination reflected from an object in the path of the modulated illumination, and circuitry coupled to the receiver and the source and arranged to compare a phase of the modulated illumination with a phase of the reflected radiation at a common frequency to determine whether there is a phase difference between the modulated illumination and the reflected illumination. The phase difference is a measure of a property of the object, such as the distance between the object and the source/receiver, which can be co-located. Otherwise, if the source and receiver and not co-located or substantially co-located, the distance is a measure of the distance of travel of the illumination.

Abstract: A digital image is automatically cropped to fit within a desired frame. The cropping is based on one or more of two identified portions of the image. One of the portions is an all-subjects portion that includes all the identified subjects of a particular type in the image. The other portion is an attention portion that identifies an intended focus of the image. An attempt to crop the image to include both of these portions is made, and if unsuccessful then an attempt to crop the image to include at least the all-subjects portion is made. If neither of these attempts is successful, then the image is cropped to include one or more, but less than all, of the identified subjects of the particular type in the image.

Abstract: A proposition is to perform a detection of a position shift amount between images which are anteroposterior in a chronological order with high accuracy. Therefore, in an image processing apparatus, a unit A performs a geometric transformation on a pixel group ? in an image 1 using an input position shift amount as a parameter, and calculates a gain based on a luminance difference between the pixel group ? in the image 1 being performed the transformation and pixels in an image 2 existing at an identical coordinate as the pixel group ?. Besides a unit B multiplies an input gain to the image 2 and calculates a position shift amount between the image 1 and the image 2. A detecting unit executes the unit A and the unit B for at least one time or more.

Abstract: Methods and apparatus, including computer systems and program products, to provide an image editing application including a perspective editing tool for performing edits in regions of an image having perspective. The perspective editing tool enables the user to identify one or more regions having perspective, i.e., perspective areas. The user can perform various editing operations on an object such that the edited object conforms to the perspective of the perspective area. The image editing application can also automatically create a perspective area from an existing perspective area. The editing tool enables the user to move objects from a source perspective area to a destination perspective area such that the edited object conforms to the perspective of the destination perspective area.

Abstract: A system for detection of doubles in a stream of flat items such as mail pieces being conveyed on a conveyor includes an electronic imaging camera positioned to receive an image of a side face of conveyed items over a first portion of its field of view, a reflector positioned to reflect an edge view of the items to the imaging camera, which edge view is received by the imaging camera over a second portion of its field of view, and a computer that receives image data from the camera. Program logic used by the computer determines whether the image shows one item, or more than one item.

Abstract: Methods and apparatus are provided for imposing multiple pages on a printable sheet, in which the multiple pages include pages of varying size. The printable sheet is divided into a plurality of slots, and each of the pages is assigned to a corresponding slot. User-specified settings are received for page alignment, offset and scaling for each of the slots, and the page alignment, offset and scaling of each of the pages are individually adjusted based on the user specifications.

Abstract: A device for the display of images with a data processing system is provided. The device includes a display device; a memory storing an original image comprising a number of pixels; and a processor operable to generate a second image on the basis of the original image. The second image is displayed on the display device. The display device has a lower resolution than the original image. The second image is displayed at a first time point using an interpolation function that reduces the number of pixels, and the processor operable to generate a shifted third image at a second, later time point for display on the display device. The shifted third image uses an interpolation function that reduces the number of pixels, the interpolation at the first time point differentiated from the interpolation carried out at the second time point.

Abstract: A method and method and apparatus for data re-arrangement includes the steps of receiving output pixel coordinates (X, Y) and obtaining an input pixel offset value (?S, ?T), wherein the output pixel coordinate represents a location for a two dimensional matrix. The input pixel offset value is obtained in reference to initial input pixel coordinates (S, T) which may be received with the output pixel coordinates or calculated based on the input and/or output pixel coordinates. The input pixel offset value may be any type of representation that provides for a delta value, for example, (?S, ?T) may represent a shift representation for the offset within a matrix array. The method and apparatus for data re-arrangement further includes retrieving an input pixel based on the initial input pixel coordinates and the offset value.