Medial axis transform of a planar domain with infinite curvature boundary points

DOI10.1016/j.cagd.2012.04.001zbMath1247.65016OpenAlexW2010880705MaRDI QIDQ448986

Song-Hwa Kwon, Chang Yong Han, Hyeong In Choi

Publication date: 11 September 2012

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2012.04.001

zbMATH Keywords

medial axis transformcomputer aided geometric designgraphical examplesexact computationpoint of infinite curvaturerational boundary curvereal-analytic curve

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

A competition flow method for computing medial axis transform

Uses Software

• Powercrust
• SegMatch

Cites Work

• Unnamed Item
• Computation of medial axis and offset curves of curved boundaries in planar domains based on the Cesáro's approach
• Medial representations. Mathematics, algorithms and applications
• On the computational geometry of pocket machining
• Shape description using weighted symmetric axis features
• Modelling requirements for finite-element analysis
• On the local form and transitions of symmetry sets, medial axes, and shocks
• Mathematical theory of medial axis transform
• Stability and finiteness properties of medial axis and skeleton
• Exploiting curvatures to compute the medial axis for domains with smooth boundary
• Determining the geometry of boundaries of objects from medial data
• Symmetry-curvature duality
• 2D finite element mesh generation by medial axis subdivision
• Continuous Skeletons from Digitized Images
• Algorithms and Data Structures
• The power crust, unions of balls, and the medial axis transform

This page was built for publication: Medial axis transform of a planar domain with infinite curvature boundary points