Advances in Linear Pixel Shuffling

Show simple item record Anderson, Peter en_US 2006-12-18T17:10:36Z en_US 2006-12-18T17:10:36Z en_US 2000-04-11 en_US
dc.identifier.citation Conference on Fibonacci Numbers and their Applications en_US
dc.identifier.uri en_US
dc.description "Advances in Linear Pixel Shuffling," Presented at the Conference on Fibonacci Numbers and their Applications. International Conference on Fibonacci Numbers and their Applications. Held in Pullman, Washington: July 1994. en_US
dc.description.abstract Given an interval or a higher dimensional block of points, that may be either continuous or discrete, how can we probe that set in a smooth manner, visiting all its regions without slighting some and overprobing others? The method should be easy to program, to understand, and to run efficiently. We investigate a method of visiting the pixels (the elements of a rectangular matrix) and the points in the real unit cube based on an arithmetic progression with wrap-around (modular arithmetic). For appropriate choices of parameters, choices that generalize Fibonacci numbers and the golden mean, we find equidistributed collections of pixels or points, respectively. We illustrate this equidistributivity with a novel approach to progressive rendering of digital images. We also suggest several opportunities for its application to other areas of image processing and computing. en_US
dc.description.sponsorship The greatest level of thanks go to my many students who have participated in the development of these ideas in seminars on computer graphics and neural networks, and especially those who have delved deeply into the techniques in their Projects and Theses (see the bibliography). Thanks are also due to my colleagues at Kodak Health Imaging Systems, Inc., and the Rochester Institute of Technology who provided invaluable feedback - especially Staszek Radziszowski and Frank Bernhart who reviewed an early draft of this paper for me. And many thanks to the anonymous referee from the Fibonacci Association who provided excellent constructive feedback. en_US
dc.format.extent 904861 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.publisher International Conference on Fibonacci Numbers and their Applications en_US
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dc.subject Fibonacci numbers en_US
dc.subject Image processing en_US
dc.subject Linear pixel shuffling en_US
dc.subject Rendering en_US
dc.title Advances in Linear Pixel Shuffling en_US
dc.type Proceedings en_US

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