Topological analysis of voxelized objects by discrete geodesic Reeb graph

DOI10.1016/j.jcss.2017.09.002zbMath1390.68708OpenAlexW2758686191MaRDI QIDQ1747502

Piyush Kanti Bhunre, Partha Bhowmick

Publication date: 8 May 2018

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcss.2017.09.002

zbMATH Keywords

geodesicsshape analysisReeb graphdigital geometrydiscrete topologyvoxelizationgeodesic level sets

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (1)

On efficient computation of inter-simplex Chebyshev distance for voxelization of 2-manifold surface

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reeb graph based segmentation of articulated components of 3D digital objects
• Digital planarity -- a review
• On different topological classes of spherical geodesic paths and circles in \(\mathbb{Z}^3\)
• Formulas for the number of \((n-2)\)-gaps of binary objects in arbitrary dimension
• Graceful planes and lines.
• Reeb graphs for shape analysis and applications
• DIG: Discrete Iso-contour Geodesics for Topological Analysis of Voxelized Objects
• The Discrete Geodesic Problem
• Digital Geometry in Image Processing
• Segmentation of 3D Articulated Components by Slice-Based Vertex-Weighted Reeb Graph
• Morse Theory. (AM-51)
• Loops in reeb graphs of 2-manifolds
• Time-varying reeb graphs for continuous space-time data

This page was built for publication: Topological analysis of voxelized objects by discrete geodesic Reeb graph