Topology-preserving image segmentation by Beltrami representation of shapes

DOI10.1007/s10851-017-0767-8zbMath1437.94011OpenAlexW2761240400MaRDI QIDQ1799486

Shi Yan, Xue-Cheng Tai, Lok Ming Lui, Hei Long Chan

Publication date: 19 October 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-017-0767-8

zbMATH Keywords

image segmentationBeltrami signatureprior imagequasi-conformal geometrytemplate deformationtopology-preserving

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Quasiconformal mappings in the complex plane (30C62)

Related Items (6)

Using the split Bregman algorithm to solve the self-repelling snakes model ⋮ A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis ⋮ Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures ⋮ Topology- and convexity-preserving image segmentation based on image registration ⋮ Topology-preserving 3D image segmentation based on hyperelastic regularization ⋮ Decomposition of longitudinal deformations via Beltrami descriptors

Uses Software

• BSDS

Cites Work

• Image segmentation using a multilayer level-set approach
• Detection of \(n\)-dimensional shape deformities using \(n\)-dimensional quasi-conformal maps
• Active contours driven by local image fitting energy
• Constraints on deformable models: Recovering 3D shape and nonrigid motion
• Texture Map and Video Compression Using Beltrami Representation
• Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration
• Active contours without edges
• Landmark- and Intensity-Based Registration with Large Deformations via Quasi-conformal Maps
• Segmentation under Occlusions Using Selective Shape Prior
• A variant of the level set method and applications to image segmentation

This page was built for publication: Topology-preserving image segmentation by Beltrami representation of shapes