Numerical problems with the Pascal triangle in moment computation

DOI10.1016/j.cam.2016.03.033zbMath1381.94034OpenAlexW2341559337MaRDI QIDQ289288

Jaroslav Kautsky, Jan Flusser

Publication date: 30 May 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.03.033

zbMATH Keywords

momentspolynomialsorthogonal momentsPascal trianglemoment invariantsstable calculations

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Moment problems (44A60)

Uses Software

• TNTool

Cites Work

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• Image analysis by Gaussian-Hermite moments
• Computation strategies of orthogonal image moments: a comparative study
• Classification of degraded signals by the method of invariants
• Conditioning and accurate computations with Pascal matrices
• On image analysis by the methods of moments
• Accurate Computations with Totally Nonnegative Matrices
• Moments and Moment Invariants in Pattern Recognition
• Image analysis by Tchebichef moments
• Blur Invariants Constructed From Arbitrary Moments

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