A Cautionary Tale: Burning the Medial Axis Is Unstable (Media Exposition)

No abstract is available for this paper.

• Publication year

  2022

• Venue

  International Symposium on Computational Geometry

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.4230/LIPIcs.SoCG.2022.66
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• SkelNetOn 2019 Dataset and Challenge on Deep Learning for Geometric Shape Understanding

  2019cited by this paper
• A salience measure for 3D shape decomposition and sub-parts classification

  2018cited by this paper
• A Transformation for Extracting New De scriptors of Shape ' , in

  2017cited by this paper
• A survey on skeletonization algorithms and their applications

  2016cited by this paper
• Erosion thickness on medial axes of 3D shapes

  2016cited by this paper
• 3D Skeletons: A State‐of‐the‐Art Report

  2016cited by this paper
• Skeleton-Based Recognition of Shapes in Images via Longest Path Matching

  2015cited by this paper
• Extended grassfire transform on medial axes of 2D shapes

  2011cited by this paper
• Measuring 3D shape similarity by graph-based matching of the medial scaffolds

  2011cited by this paper
• Stability and Computation of Medial Axes - a State-of-the-Art Report

  2009cited by this paper
• The scale axis transform

  2009cited by this paper
• Global geometry of regions and boundaries via skeletal and medial integrals

  2007cited by this paper
• MAXWELL STRATA AND CAUSTICS

  2007cited by this paper
• The global medial structure of regions in R 3

  2006cited by this paper
• Defining and computing curve-skeletons with medial geodesic function

  2006cited by this paper
• Determining the Geometry of Boundaries of Objects from Medial Data

  2005cited by this paper
• The λ-medial axis

  2005cited by this paper
• Smoothness and geometry of boundaries associated to skeletal structures, II: Geometry in the Blum case

  2004cited by this paper
• Recognition of shapes by editing their shock graphs

  2004cited by this paper
• Stability and Finiteness Properties of Medial Axis and Skeleton

  2004cited by this paper
• Any open bounded subset of Rn has the same homotopy type as its medial axis

  2004cited by this paper
• Smoothness and geometry of boundaries associated to skeletal structures I: Sufficient conditions for smoothness

  2003cited by this paper
• Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee

  2003cited by this paper
• Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations

  2002cited by this paper
• The power crust, unions of balls, and the medial axis transform

  2001cited by this paper
• Pruning Medial Axes

  1998cited by this paper
• Modeling noise for a better simplification of skeletons

  1996cited by this paper
• Cut Locus and Medial Axis in Global Shape Interrogation and Representation

  1995cited by this paper
• Singularities of Caustics and Wave Fronts

  1990cited by this paper
• Shape Smoothing Using Medial Axis Properties

  1986cited by this paper
• On the local structure of a generic central set

  1981cited by this paper
• Distance from a submanifold in Euclidean space

  1981cited by this paper
• The structure of the cut locus in dimension less than or equal to six

  1978cited by this paper
• Sur le cut-locus d'une variété plongée

  1972cited by this paper

• Burning or Collapsing the Medial Axis is Unstable

  2025cites this paper