Smooth partition of unity with Hermite interpolation: applications to image processing

Lubomir T. Dechevsky; Peter Zanaty; Børre Bang; Arne Lakså

doi:10.1117/12.909847

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2 February 2012 Smooth partition of unity with Hermite interpolation: applications to image processing

Lubomir T. Dechevsky; Peter Zanaty; Børre Bang; Arne Lakså

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Proceedings Volume 8295, Image Processing: Algorithms and Systems X; and Parallel Processing for Imaging Applications II; 82950C (2012) https://doi.org/10.1117/12.909847
Event: IS&T/SPIE Electronic Imaging, 2012, Burlingame, California, United States

Abstract

We explore the one-to one correspondence between parametric surfaces in 3D and two dimensional color images in the RGB color space. For the case of parametric surfaces defined on general parametric domains recently a new approximate geometric representation has been introduced¹ which also works for manifolds in higher dimensions. This new representation has a form which is a generalization to the B´ezier representation of parametric curves and tensorproduct surfaces. The main purpose of the paper is to discuss how the so generated technique for modeling parametric surfaces can be used for respective modification (re-modeling) of images. We briefly consider also some of the possible applications of this technique.

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Lubomir T. Dechevsky, Peter Zanaty, Børre Bang, and Arne Lakså "Smooth partition of unity with Hermite interpolation: applications to image processing", Proc. SPIE 8295, Image Processing: Algorithms and Systems X; and Parallel Processing for Imaging Applications II, 82950C (2 February 2012); https://doi.org/10.1117/12.909847

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