Interpolation using cosine transforms generalized to Lie groups

J. Patera; A. Zaratsyan; H. Zhu

doi:10.1117/12.650435

16 February 2006 Interpolation using cosine transforms generalized to Lie groups

J. Patera, A. Zaratsyan, H. Zhu

Proceedings Volume 6064, Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning; 606406 (2006) https://doi.org/10.1117/12.650435
Event: Electronic Imaging 2006, 2006, San Jose, California, United States

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.

Citation Download Citation

J. Patera, A. Zaratsyan, and H. Zhu "Interpolation using cosine transforms generalized to Lie groups", Proc. SPIE 6064, Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning, 606406 (16 February 2006); https://doi.org/10.1117/12.650435

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