16 February 2006 Interpolation using cosine transforms generalized to Lie groups
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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.
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J. Patera, J. Patera, A. Zaratsyan, A. Zaratsyan, H. Zhu, 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); doi: 10.1117/12.650435; https://doi.org/10.1117/12.650435

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