An Extension of 3D Zernike Moments for Shape Description and Retrieval of Maps Defined in Rectangular Solids

DOI10.2478/MLBMB-2013-0004zbMath1279.42030OpenAlexW1987947939MaRDI QIDQ2863926

Atilla Sit, Stephen J. Wright, Julie C. Mitchell, George N. jun. Phillips

Publication date: 5 December 2013

Published in: Computational and Mathematical Biophysics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/mlbmb-2013-0004

zbMATH Keywords

Gram-Schmidt orthogonalizationreconstructionZernike polynomials3D shape retrievalelectron microscopy data bank

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Computational methods for problems pertaining to biology (92-08) Orthogonalization in numerical linear algebra (65F25)

Cites Work

• An algorithm for fast computation of 3D Zernike moments for volumetric images
• Exact and fast computation of geometric moments for gray level images
• Solving linear least squares problems by Gram-Schmidt orthogonalization

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