Inconsistent surface registration via optimization of mapping distortions

DOI10.1007/s10915-020-01246-5zbMath1435.65042arXiv1908.09098OpenAlexW3035570542MaRDI QIDQ2189671

Di Qiu, Lok Ming Lui

Publication date: 16 June 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09098

zbMATH Keywords

Beltrami coefficientinconsistent surface registrationmapping distortionsmapping optimization problemquasiconformal theories

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Multiscale Approach for Three-Dimensional Conformal Image Registration ⋮ Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification ⋮ Shape analysis via inconsistent surface registration ⋮ Decomposition of longitudinal deformations via Beltrami descriptors ⋮ MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration

Uses Software

• LargeScaleBD

Cites Work

• QCMC: quasi-conformal parameterizations for multiply-connected domains
• Folding-free global conformal mapping for genus-0 surfaces by harmonic energy minimization
• Computing extremal Teichmüller map of multiply-connected domains via Beltrami holomorphic flow
• A linear formulation for disk conformal parameterization of simply-connected open surfaces
• A splitting method for diffeomorphism optimization problem using Beltrami coefficients
• Texture Map and Video Compression Using Beltrami Representation
• Geometric Registration of High-Genus Surfaces
• Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration
• Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing
• Computing Discrete Minimal Surfaces and Their Conjugates
• Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding
• Landmark- and Intensity-Based Registration with Large Deformations via Quasi-conformal Maps
• FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces
• Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
• LargeScaleBD

This page was built for publication: Inconsistent surface registration via optimization of mapping distortions