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Patent

Digital quaternion logarithm signal processing system and method for images and other data types

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TLDR
In this paper, a method for improving the detail of an input digital signal, such as a signal comprising a two-dimensional image, can be implemented by computing first and second order gradients of the input signal.
Abstract
A system and method for improving the detail of an input digital signal, such as a signal comprising a two dimensional image, can be implemented by computing first and second order gradients of the input signal. These gradients can be represented as quaternions. The logarithm of the quaternions can be used to determine the magnitude and orientation of gradient vectors in the input signal. This gradient magnitude and gradient orientation information can be used to construct an output digital signal that has greater detail than the input digital signal.

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References
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Patent

Computer interface employing a manipulated object with absolute pose detection component and a display

TL;DR: In this article, the authors present a system that has a remote control, equipped with a relative motion sensor that outputs data indicative of a change in position of the wand, which includes the absolute position of a reference point chosen on the wand and the absolute orientation.
Proceedings ArticleDOI

Riesz pyramids for fast phase-based video magnification

TL;DR: A new compact image pyramid representation, the Riesz pyramid, that can be used for real-time phase-based motion magnification and is less overcomplete than even the smallest two orientation, octave-bandwidth complex steerable pyramid, and can be implemented using compact, efficient linear filters in the spatial domain.
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Media integration layer

TL;DR: In this paper, a media integration layer including an application programming interface (API) and an object model allows program code developers to interface in a consistent manner with a scene graph data structure in order to output graphics.
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Systems and methods for quantitative analysis of histopathology images using multiclassifier ensemble schemes

TL;DR: In this paper, a multi-stage detection and classification of cancer regions from digitized images of biopsy slides is described, including the use of quaternions, logarithmic mappings of color channels, and application of wavelets to log-rithmic color channel mappings.
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Method for rendering graphical objects represented as surface elements

TL;DR: In this paper, a surface of an object is partitioned into a plurality of cells having a grid resolution related to an image plane resolution, and attributes of the portion of the object contained in the cell are assinged to each surface element and each link.