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Proceedings Paper

Interpolation using cosine transforms generalized to Lie groups
Author(s): J. Patera; A. Zaratsyan; H. Zhu
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Paper Abstract

Interpolation methods are often used in many applications for image generation and processing, such as image compression and resampling. This paper introduces a new family of interpolation algorithms to dimensions n greater-than or equal to 1. Each version of the method is based on a compact semisimple Lie groups of rank n, although here we explore mainly the cases n=2. The approach can be viewed as a generalization of discrete and continuous cosine transform.

Paper Details

Date Published: 16 February 2006
PDF: 12 pages
Proc. SPIE 6064, Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning, 606406 (16 February 2006); doi: 10.1117/12.650435
Show Author Affiliations
J. Patera, Univ. de Montréal (Canada)
A. Zaratsyan, Univ. de Montréal (Canada)
H. Zhu, York Univ. (Canada)


Published in SPIE Proceedings Vol. 6064:
Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning
Nasser M. Nasrabadi; Edward R. Dougherty; Jaakko T. Astola; Syed A. Rizvi; Karen O. Egiazarian, Editor(s)

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