Abstract: A display apparatus, which adjusts a luminance value of an image, and a method for driving the same are disclosed. The display apparatus includes a first image conversion unit that converts first image data into a plurality of second image data each including a luminance value, a luminance analysis unit that determines quantities of luminance values of the second image data, and determines a distribution of the luminance values, and a luminance adjustment unit that adjusts the respective luminance values of the second image data based on the quantities.

Abstract: Provided is a method of processing images. The method may include obtaining a plurality of radially-distorted images captured from one location in different directions, the plurality of images each having a field of view, and neighboring images among the plurality of images having overlapping fields of view. The method may further include reducing relative distortion of portions of the neighboring images in the overlapping fields of view of the neighboring images, matching features between the reduced distortion portions of neighboring images in the overlapping fields of view, and storing in memory data indicative of matched features.

Abstract: Disclosed is a method of determining at least one three-dimensional (3D) geometric parameter of an imaging device. A two-dimensional (2D) target image is provided having a plurality of alignment patterns. The target image is imaged with an imaging device to form a captured image. At least one pattern of the captured image is compared with a corresponding pattern of the target image. From the comparison, the geometric parameter of the imaging device is then determined. The alignment patterns include at least one of (i) one or more patterns comprising a 2D scale and rotation invariant basis function, (ii) one or more patterns comprising a 1D scale invariant basis function, and (iii) one or more patterns having a plurality of grey levels and comprising a plurality of superimposed sinusoidal patterns, the plurality of sinusoidal patterns having a plurality of predetermined discrete orientations.

Abstract: A composition determination device includes: a subject detection unit configured to detect a subject in an image based on acquired image data; a still detection unit configured to detect a still state, with an image based on the image data, or a subject detected by the subject detection unit, as the object thereof; and a composition determination unit configured to determine a composition, with only real subjects or only unreal subjects, of subjects detected by the subject detection unit, as the object thereof, based on detection results of the still detection unit.

Abstract: A color space determination device may include a sampling configuration unit and determination unit. The sampling configuration unit may be configured to determine a sampling ratio and a sampling number based on a resolution of input video data, the sampling ratio being a ratio of a number of the input video data to be sampled to a total number of the input video data included in a frame, the sampling number being a number of frames to be sampled. The determination unit may be configured to receive the input video data in units of frames, to sample the input video data with the sampling ratio for each of the sampling number of frames, and to generate a color space signal representing a color space of the input video data based on the sampled input video data that are sampled from the sampling number of frames of the input video data.

Abstract: The invention relates to a method for processing a video image for a display device. In order to reduce the visibility of transition regions in the processed image, the method comprises a step of application of a third video pattern to at least one part of the image, the third video pattern resulting from the spatial interleaving of a first video pattern and at least one second video pattern according to a determined model.

Abstract: A content-adaptive edge and detail enhancement method is described for image/video processing. Both 2D peaking and LTI/CTI are used in sharpening pictures. Image analysis is performed to generate a mask to control the use of the two peaking techniques. The strength or likelihood of edges or transitions is measured and such a strength or likelihood measurement will be transformed into a blending factor controlling the blending of the LTI/CTI and peaking outputs.

Abstract: System and method for converting source image data to tile data including (a) selecting a source image set; (b) computing a scaling value for the source image set; (c) establishing tile set geographic bounds of a tile set that is created based on the scaling value; (d) converting the tile set geographic bounds to discrete tile bounds; (e) for each source image (i) determining source image geographic bounds; (ii) if there is an intersection between the source image geographic bounds and the tile set geographic bounds, (1) extracting image data from the source image at the intersection; (2) scaling the image data based on a pre-selected scale; (3) storing the scaled image data to a tile storage mechanism; and (f) repeating steps (a) through (e) for each of the source image sets.

Abstract: A video processor is described, which is useful for implementing a forward transform process, in compliance with the H.264 standard. The video processor includes an input, for receiving a block of image data. The image data is loaded into an internal register. In response to receiving a SIMD instruction, a multiplier, which incorporates the H.264 forward transform matrix in its associated hardware, processes the block of image data, and writes the resulting partially transformed pixel data back to the internal register, transposing the data during the process.

Abstract: A touch screen displays a plurality of images corresponding to a plurality of colors represented by color information stored in a color information storage unit. A selection part indicating whether the image is in a selected state or an unselected state is associated with each image displayed on the touch screen. An intermediate color calculating unit calculates color information representing an intermediate color of two colors indicated by images respectively corresponding to two selection parts in the selected state. An intermediate color adding unit displays on the touch screen an image corresponding to the intermediate color, based on color information of the intermediate color calculated by the intermediate color calculating unit, and a selection part corresponding to the image. An output unit outputs the color information of the intermediate color corresponding to the selection part if the selection part corresponding to the intermediate color is selected.

Abstract: An image processing apparatus includes: a normal interpolated image generation unit to generate an image that is interpolated between a plurality of original images reproduced along time series, the image being a normal interpolated image, based on each of the plurality of original images; a high-frequency area extraction unit to extract a high-frequency area having a spatial frequency higher than a predetermined value in each of the plurality of original images; a high-frequency area interpolated image generation unit to generate an image that is interpolated between the plurality of original images, the image being a high-frequency area interpolated image, based on a change in position of the high-frequency area along with an elapse of time on the time series and on each of the plurality of original images; and a combination unit to execute combining processing to combine the normal interpolated image and the high-frequency area interpolated image.

Abstract: Methods and apparatus for processing one or more images, e.g., images representing pages including text, to detect and in some instances correct the orientation of the page. In some embodiments the methods and apparatus for processing image data comprise generating a histogram of foreground pixel counts corresponding to a current line of text of the image being processed with the foreground pixel counts corresponding to different rows of pixels corresponding to the current line of text and identifying based on statistical analysis of the generated histogram whether the current page of text is oriented in an inverted or non-inverted position. In some embodiments analysis is performed on multiple lines of text with cumulative statistics being used in to determine the orientation of the page. In some embodiments, a page whose orientation is determined to be upside down is re-oriented to be right-side up.

Abstract: A video processor is described, which is useful for implementing a Hadamard transform process, in compliance with the H.264 standard. The video processor includes an input, for receiving a block of image data. The image data is loaded into an internal register. In response to receiving a SIMD instruction, a multiplier, which incorporates the H.264 Hadamard transform matrix in its associated hardware, processes the block of image data, and writes the resulting partially transformed pixel data back to the internal register, transposing the data during the process.

Abstract: A system and method of improving access to digital image files by combining close and activation cycles within a memory device into a single step and eliminating a pipeline delay in the process. The system and method further enhance data access efficiencies by sequential storage of successive video lines or elements of video lines in different banks with the same memory device. The techniques used to improve access to digital image data may be particularly useful when accessing digital image files that may have been rotated.

Abstract: An imaging device is provided that comprises a movement detection component configured to detect movement of the imaging device based on a force imparted to the imaging device, an imaging component configured to produce image data by capturing a subject image, a movement vector detection component configured to detect a movement vector based on a plurality of sets of image data produced by the imaging component, and a three-dimensional NR component configured to reduce a noise included in first image data produced by the imaging component, based on second image data produced earlier than the first image data, wherein the three-dimensional NR component is configured to decide whether to correct the second image data in response to the detection result of the movement vector detection component, based on both the detection result of the movement detection component and the detection result of the movement vector detection component.

Abstract: Feature analysis on consecutive tissue sections (FACTS) includes obtaining a plurality of consecutive tissue sections from a tissue sample, staining the sections with at least one biomarker, obtaining a digital image thereof, and identifying one or more regions of interest within a middle of the consecutive tissue sections. The digital images of the consecutive tissue sections are registered for alignment and the one or more regions of interest are transferred from the image of the middle section to the images of the adjacent sections. Each image of the consecutive tissue sections is then analyzed and scored as appropriate. Using FACTS methods, pathologist time for annotation is reduced to a single slide. Optionally, multiple middle sections may be annotated for regions of interest and transferred accordingly.

Abstract: The present invention describes a method of modifying an image in a video that includes the step of capturing a visible light image of an area, where the visible light image captured at a first frame rate. The method in addition includes the step of capturing a corresponding infrared light image of an area, the infrared light image being captured when the area is illuminated with an infrared light source, the infrared light image captured at the substantially the same frame rate as the visible light image. Based on the infrared light image, at least a subset of the human perceptible characteristics of the captured visible light image are modified.

Abstract: There is described a method for checking the authenticity of security documents, in particular banknotes, wherein authentic security documents comprise security features printed, applied or otherwise provided on the security documents, which security features comprise characteristic visual features intrinsic to the processes used for producing the security documents. The method comprises the steps of (i) acquiring a sample image of at least one region of interest of the surface of a candidate document to be authenticated, which region of interest encompasses at least part of the security features, (ii) digitally processing the sample image by performing a decomposition of the sample image into at least one scale sub-space containing high resolution details of the sample image and extracting classifying features from the scale sub-space, and (iii) deriving an authenticity rating of the candidate document based on the extracted classifying features.

Abstract: Provided is an image processing apparatus. In the case of a multi-view image, the image processing apparatus may warp a color image and/or a depth image of a reference view to correspond to a target view. An occlusion region may be extracted by comparing the warped color image and/or depth image of the reference view with a color image and/or a depth image of the target view. The image processing apparatus may encode the extracted occlusion region information without loss, and decrease an amount of data in the multi-view image.

Abstract: Disclosed herein is a system and method for providing remotely accessible medical image data. The system and method allows for increased accuracy and semi-quantitative or fully quantitative data from images by enabling the remote user to select regions of interest on a compressed image, and then conducting quantitative analysis on original images at a central location.

Abstract: An image processing apparatus includes a storage unit, a receiving unit, a search unit, a processing unit and an output unit. The storage unit stores information of drawn image elements. The receiving unit receives a transformation instruction to transform a part of the image elements specified by the information of the image elements. The search unit searches the storage unit for an image element that (i) has a relation, being based on a predetermined condition, with the image elements, which are a target of the transformation instruction, and (ii) is not the target of the transformation instruction. The processing unit performs a transformation process on (i) the image elements, which are the target of the received transformation instruction, and (ii) the image element, which is found as the search result, based on the received transformation instruction. The output unit outputs the result of the transformation process.

Abstract: Embodiments of the present invention provide for improved timing control in 2-D image processing to maintain a constant rate of memory fetches and pixel outputs even when the processing operations transition to a new line or frame of pixels. A one-to-one relationship between incoming pixel rate and outgoing pixel rate is maintained without additional clock cycles or memory bandwidth as an improved timing control according to the present invention takes advantage of idle memory bandwidth by pre-fetching a new column of pixel data in a first pixel block of a next line or frame while a new column of an edge pixel block on a current line is duplicated or zeroed out. As the edge pixel block(s) on the current line are processed, the data in the first pixel block of the next line or frame become ready for computation without extra clock cycles or extra memory bandwidth.

Abstract: A signal processing method is provided. The signal processing method includes the steps of generating undersampled data corresponding to an object, determining a variable thresholding parameter based on a composition of the undersampled data, and iteratively determining thresholded coefficients to generate a plurality of coefficients by utilizing the undersampled data, a current solution and the variable thresholding parameter by updating the variable thresholding parameter and the current solution, and reconstructing a data signal using the plurality of coefficients.

Abstract: An image forming apparatus includes: an acquiring unit; a resolution converting unit; a receiving unit; a position determining unit; a correcting unit; and a scaling unit. The acquiring unit acquires image data composed of a plurality of pixels; the scaling-factor determining unit determines a scaling factor of the acquired image data; the resolution converting unit converts a resolution of the acquired image data into a higher resolution than the resolution of the image data; the receiving unit receives a designation of a sub-scanning directional shift amount of a correction pixel to be corrected; a position determining unit performs a position determining process; and the scaling unit scales the image data at the determined scaling factor by causing the position determining unit and the correcting unit.

Abstract: System and methods are provided for performing saturation adjustment of one or more pixels. In one embodiment, an input color value of a pixel is received. The input color value includes an input saturation component. An adjusted color value is extracted from a predetermined look-up table that maps the input color value to the adjusted color value, the adjusted color value having an adjusted saturation component that is different from the input saturation component. The adjusted color value is output.

Abstract: A method and apparatus for estimating stereo misalignment using modified affine or perspective model. The method includes dividing a left frame and a right frame into blocks, comparing horizontal and vertical boundary signals in the left frame and the right frame, estimating the horizontal and the vertical motion vector for each block in a reference frame, selecting a reliable motion vectors from a set of motion vectors, dividing the selected block into smaller features, feeding the data to an affine or a perspective transformation model to solve for the model parameters, running the model parameters through a temporal filter, portioning the estimated misalignment parameters between the left frame and right frame, and modifying the left frame and the right frame to save some boundary space.

Abstract: Many of the detailed technologies are useful in enabling a smart phone to respond to a user's environment, e.g., so it can serve as an intuitive hearing and seeing device. A few of the detailed arrangements involve optimizing division of shared processing tasks between the phone and remote devices; using a phone GPU for exhaustive speculative execution and machine vision purposes (including facial recognition); novel device architectures involving abstraction layers that facilitate substitution of different local and remote services; interactions with private networks as they relate to audio/image processing; adapting the orders in which operations are executed, and the types of data that are exchanged with remote servers, in accordance with current context; reconfiguring networks based on sensed social affiliations among users and in accordance with predictive models of user behavior; etc. A great variety of other features and arrangements are also detailed.

Abstract: Some embodiments provide a program that provides a graphical user interface (GUI). The GUI includes a display area for displaying an image that includes several pixels. The GUI includes a selectable masking tool for displaying in the display area an adjustable closed curve to identify a region in the image to apply a color correction operation. The selectable masking tool includes a selectable control for modifying the adjustable closed curve through a range of elliptical shapes that ranges from a pure ellipse to an approximate rectangle. The GUI includes a selectable GUI item for applying the color correction operation based on the selectable masking tool.

Abstract: A process and system that allows an end user to insert images into a video content so that the images appear part of that content. This allows a consumer to seem to be part of a video, and interact with the famous personalities in that video. A video content is produced and a first software program is used to insert place holding templates into the video content. The end user produces a video image satisfying the requirements of the inserted template, and a second software program composites the two video streams so that the end user's video image is inserted into the first video content replacing the templates. The system can also be used to insert advertising information into a background to create custom, personalized, “on the fly” advertisements and product placements.

Abstract: A method and system for compressive color image sampling and reconstruction. A sample set of data generated by transforming and sampling an optical property of an original image in a spatial basis, wherein the transformation effected is substantially diagonal in the spatial basis is received. A compressive sensing reconstruction technique is applied to the sample data to produce a set of inferred original image data. A data processing apparatus is adapted to receive such a sample set of data and apply a compressive sensing reconstruction technique to the sample data to produce a set of inferred original image data. In a preferred embodiment a imaging system uses a color filter array (CFA) wherein colors are randomly or pseudo-randomly arranged over an image sensor. The image is inferred from the sensor data and the CFA pattern using compressive sensing sparse solution search techniques.

Abstract: In various embodiments, systems and methods are provided for using an expanded image format to facilitate image transformations. The expanded image format can include at least a first set of boundaries and a second set of boundaries. The first set of boundaries corresponds to the image for transform, while the second set of boundaries provide a region beyond the image that can assist a graphics processing unit with performing a transform. Optionally, the expanded information can also include pixel value information for pixels in the region between the image boundary and the overboundary.

Abstract: Assessing a visual quality characteristic includes accessing and processing at least a first image or video signal and a second image or video signal and processing the accessed images or video signals. Based at least in part on processing the accessed images or video signals, a difference is measured between the processed at least first and second images or video signals. The visual quality characteristic relates to a magnitude of the measured difference between the processed at least first and second images or video signals. The at least first and second images or video signals include a high or visual dynamic range and/or a wide color gamut. The visual quality characteristic is assessed based, at least in part, on the measured difference.

Abstract: A method and system including capturing a video stream including embedded data, segmenting the video stream into a plurality of video frames included therein, locating a color mass, denoted C?, for each color element of every individual video frame of the plurality of video frames by summing color value coordinates for a given color element included in the individual video frame, locating a color mass, denoted C, for each color element of a corresponding individual video frame, the corresponding individual video frame corresponding a video frame which does not include embedded data, subtracting C from C?, and deriving, from a result of the subtraction, a value of a first coordinate and a second coordinate, the first coordinate and the second coordinate including coordinates of a vector, the vector corresponding to a string of bits including information embedded in the individual video frame. Related apparatus, methods and systems are also described.

Abstract: Cell phones and other portable devices are equipped with a variety of technologies by which existing functionality can be improved, and new functionality can be provided. Some aspects relate to data driven imaging architectures, in which a cell phone's image sensor is one in a chain of stages that successively act on packetized instructions/data, to capture and later process imagery. Other aspects relate to distribution of processing tasks between the device and remote resources (“the cloud”). Elemental image processing, such as filtering and edge detection—and even some simpler template matching operations—may be performed on the cell phone. Other operations are referred out to remote service providers. The remote service providers can be identified using techniques such as a reverse auction, though which they compete for processing tasks. Other aspects of the disclosed technologies relate to visual search capabilities, and determining appropriate actions responsive to different image inputs.

Abstract: A method combines two digital images, one in the visible range and the other in the infrared range. The combined image provides an intensity band of pixels and shows detected warm objects that are superimposed on the intensity band of pixels. A user of the present invention may (1) view increased detail in the fused image of a scene and (2) have high confidence that an object in the scene is warm or hot. Hot objects collected by the infrared channel, but not visible in the visible channel may also be seen by the viewer in the fused image.

Abstract: A device for processing of data including images of a portion of a body includes processing means capable of processing first data representative of elementary portions of an image obtained by magnetic resonance in a region of the body and second data representative of elementary portions of images obtained by ultrasounds in a portion of that region, by performing: i) generating first and second maps of the probability that the elementary portions belong to structures of interest of the portion of the region based at least on the intensities associated thereto and respectively defined by the first and second data; ii) estimating a conversion for shifting from one of the first and second maps to the other while maximizing for each of their elementary portion the joined probability that it belongs to a same structure of interest; and iii) resetting the structures of interest of one of the first and second maps relative to those of the other by the conversion.

Abstract: An object pose recognition apparatus and method. The object pose recognition method includes acquiring first image data of an object to be recognized and 3-dimensional (3D) point cloud data of the first image data, and storing the first image data and the 3D point cloud data in a database, receiving input image data of the object photographed by a camera, extracting feature points from the stored first image data and the input image data, matching the stored 3D point cloud data and the input image data based on the extracted feature points and calculating a pose of the photographed object, and shifting the 3D point cloud data based on the calculated pose of the object, restoring second image data based on the shifted 3D point cloud data, and re-calculating the pose of the object using the restored second image data and the input image data.

Abstract: An image processing apparatus includes a characteristic point extracting section and a signal processing section. The characteristic point extracting section is configured to analyze a frequency component of an inputted image and extracts a plurality of pixels characterizing the image as a plurality of characteristic points. The signal processing section is configured to perform signal processing for the plurality of extracted pixels corresponding to the respective characteristic points, produces an interpolated value based on a result of the signal processing, and rewrites a value of at least one pixel other than the characteristic points to the interpolated value.

Abstract: A photographing apparatus has two binocular stereoscopic modes. In two-take photography mode, a 3D image file is generated from left and right monocular images acquired by performing monocular photographing twice, and the 3D image file thus generated is recorded. In one-take photography mode, a 3D image file is generated from left and right monocular images acquired by performing binocular photographing once, and the 3D image file thus generated is recorded. When the 3D image file is recorded, a homogeneity tag is recorded in 3D metadata, as tag information of the header data portion of the 3D image file. The homogeneity tag is information about the homogeneity of the two monocular images and describes whether the two monocular images have been acquired in the one-take photography mode in which monocular images highly homogeneous are provided, or in the two-take photography mode in which monocular images not so homogeneous are provided.

Abstract: A medical image display device provided with storage means for storing a sliced image of an object to be examined obtained by a medical image diagnostic apparatus, extraction means for extracting a center line passing through the region of a hollow organ of the object and the center thereof from the sliced image stored by the storage means, and 3-dimensional image generation means for generating a virtual 3-dimensional image of the inner wall of the hollow organ seen from a viewpoint while sequentially moving the viewpoint from one end to the other end of the center line is provided, with means for changing the direction in which the virtual 3-dimensional image seen from the viewpoint is generated to the direction of bending curvature of the hollow organ according to the bending curvature thereof.

Abstract: Provided is an image processing device which enables image display that takes full advantage of a color reproduction performance of a panel without providing a viewer with a feeling of strangeness. In at least one embodiment, an image processing device includes: a first color space converter configured to convert an externally transmitted RGB signal into an XYZ signal; a three-dimensional matching processor configured to perform conversion to tristimulus values of the XYZ signal to generate an XYZ signal; and a second color space converter configured to convert the XYZ signal to an RGB signal for a liquid crystal panel.

Abstract: A chart generation unit generates an adjustment chart, and a projection unit projects the adjustment chart onto a circular cylinder. A parameter acquiring unit acquires 12 parameters in total, relating to the positions of four corners and middle points of a top side and a bottom side of a chart and lateral expansion of the chart, the chart being input by a user through manipulations of an operation unit. A transform function determination unit calculates, from the total of 12 parameters, an accurate transform function for projecting an image onto the circular cylinder. An image conversion unit applies geometric transformation to the image based on the calculated transform function.

Abstract: Techniques for ensuring maximum readability of barcodes displayed in pixel displays. The techniques use the characteristics of the pixel display to determine the form of the barcode in the pixel display. Determination of the form includes determining a size of the barcode which renders the barcode's elements easily readable by a barcode reader and a shape, and or orientation of the barcode in the display which permits the entire barcode to be displayed in the display. Additionally, in a barcode with redundant information, the amount of redundant information may be reduced in the displayed barcode. The techniques may be applied to both one-dimensional and two-dimensional barcodes.

Abstract: A computer-implemented method for combinational computer aided diagnosis (C-CAD) includes providing volume data of tissue, providing a database of disease and pathologies, and providing action items for processing the volume data. The method further comprises selecting at least two diseases of interest for the volume data, selecting at least one action item to be performed for each selected disease, determining a set of decision rules based on an output of a selected action item, and producing a combinational report predicting of the tissue of the volume data.

Abstract: Printing of color imagery onto a rewritable color surface is accomplished by providing an applicator with an alignment subsystem capable of sensing an alignment marker of one or more colors dots from multiple local color dot patterns as the applicator scans the surface to align the applicator's print head to the local color dot patterns. The alignment subsystem uses the sensed alignment markers to determine an absolute position on the rewritable color surface at a resolution of the individual color dots in the local color dot pattern and to align the state values for the corresponding portion of the color image to the individual color dots in the local color dot patterns on said surface.

Abstract: In an image pickup apparatus 1, reference image data is generated from plural pieces of image data and further, at least two pieces of arbitrary image data are selected from among the plural pieces of image data. A first difference calculating unit 71 calculates differences between the selected pieces of image data for two adjacent pixels. A second difference calculating unit 72 calculates differences in pixel values of the selected pieces of image data from the reference image data. A cost function is set, having variables of the differences calculated by the first difference calculating unit and the differences calculated by the second difference calculating unit. A boundary setting unit 74 sets boundaries respectively in the selected pieces of image data so as to minimize the cost function. The selected pieces of image data are combined together in accordance with the boundaries set by the boundary setting unit.

Abstract: Systems and methods for removing border objects from a page of digital image are presented. More particularly, in removing border objects from a page of a digital image, the following are performed. In the first place, a digital image having at least one page of content is obtained. A content area of content on the page is determined. Border objects in the region between the page margin and the content area are then located. For each located border object, the following two steps are performed. The located border object is evaluated according to a set of border criteria, and the located border object is removed if the evaluation of the border object indicates that the border object is to be removed. Thereafter, the updated digital image is stored in a content store.

Abstract: A method for enhancing an input image to produce an enhanced output image is provided. The method includes constructing a photographic-mask intermediate image without low-contrast details and a temporary-image intermediate image with enhanced mid-contrast details, retained high-contrast details, and reduced low-contrast details, and employing values for the photographic-mask intermediate image and temporary-image intermediate image to produce the enhanced output image that is globally and locally contrast-enhanced, sharpened, and denoised.

Abstract: The screened printing data are subjected to a filtering method, the raster information being maintained. Intermediate tonal values are produced by the filtering method, using the binary tonal values, the intermediate tonal values being configured in such a way that, by means of a color space transformation, transformed tonal values and/or intermediate tonal values can be formed which represent a true-to-color proof.

Abstract: A system for generating an output image based on an original image via an imaging application can comprise a parsing module, an optical flow displacement module, and a new pixel generation module. The parsing module can establish a magnified resolution lattice from an original resolution lattice of the original image. The optical flow displacement module can establish optical displacement vectors extending, within the magnified resolution lattice, between original pixels and optical displacement locations, the optical displacement vectors based on one-dimensional optical flow brightness constraint calculations for the original pixels. The new pixel generation module can generate new pixels in the magnified resolution lattice via one or more interpolations based on the optical displacement vectors. Other embodiments and related methods are also disclosed herein.