Numerical Methods for Decorrelation Stretch

Elisa Crabu, Federica Pes () and Giuseppe Rodriguez
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Elisa Crabu: Department of Mathematics and Computer Science, University of Cagliari, via Ospedale 72, 09124 Cagliari, Italy
Federica Pes: Department of Mathematics and Computer Science, University of Cagliari, via Ospedale 72, 09124 Cagliari, Italy
Giuseppe Rodriguez: Department of Mathematics and Computer Science, University of Cagliari, via Ospedale 72, 09124 Cagliari, Italy

Mathematics, 2025, vol. 13, issue 20, 1-16

Abstract: Decorrelation stretch is an image enhancement technique that emphasizes color differences, which also applicable to multispectral datasets. It transforms an image so that its color plane result is uncorrelated, with assigned variances. The standard algorithm may suffer from numerical instability. Moreover, it is not able to manage degenerate cases, where color planes are linearly dependent. In this paper, we review the theory behind decorrelation stretch and propose some alternative algorithms that resolve the issues of the standard approach.

Keywords: decorrelation stretch; image enhancement; RGB images; QR factorization; singular value decomposition (SVD) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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