Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification

DOI10.1137/22M1470852zbMath1499.65065arXiv2103.16411OpenAlexW4287251195MaRDI QIDQ5056928

Lok Ming Lui, Chenran Lin

Publication date: 8 December 2022

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16411

zbMATH Keywords

quasiconformalshape representationconformal weldingshape classificationJordan domain

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Conformal mappings of special domains (30C20) Circle packings and discrete conformal geometry (52C26)

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• CirclePack
• GitHub

Cites Work

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• Optimization of surface registrations using Beltrami holomorphic flow
• Compositions of harmonic mappings and biharmonic mappings
• Riemann's mapping theorem for variable metrics
• Inconsistent surface registration via optimization of mapping distortions
• 2D-shape analysis using conformal mapping
• Texture Map and Video Compression Using Beltrami Representation
• Matching with Shape Contexts
• Schwarz-Christoffel Mapping
• Shape analysis via inconsistent surface registration
• Convergence of a Variant of the Zipper Algorithm for Conformal Mapping

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