Approximate medial axis as a voronoi subcomplex
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Summary
A new algorithm is presented that approximates the medial axis straight from the Voronoi diagram in a scale and density independent manner with convergence guarantees and the advantage is that, unlike for others, one does not need to fine tune any parameter for this algorithm.
- Type
- article
- Published
- 2002-06-17
- Cited by
- 248
- References
- 41
- OpenAlex
- https://openalex.org/W1966159541
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:5099663
Keywords
Voronoi diagram, Medial axis, Power diagram, Weighted Voronoi diagram, Computation
References
- Decimating samples for mesh simplification
- Cut Locus and Medial Axis in Global Shape Interrogation and Representation
- A probabilistic roadmap planner for flexible objects with a workspace medial-axis-based sampling approach
- An accelerated triangulation method for computing the skeletons of free-form solid models
- Piecewise-linear interpolation between polygonal slices
- Accurate computation of the medial axis of a polyhedron
- A volumetric method for building complex models from range images
- Assisted articulation of closed polygonal models
- The power crust
- Detecting undersampling in surface reconstruction
- Triangulating topological spaces
- Convergence and continuity criteria for discrete approximations of the continuous planar skeleton
- Generating skeletons and centerlines from the distance transform
- Shape Description By Medial Surface Construction
- Surface Reconstruction by Voronoi Filtering
- Approximating polyhedra with spheres for time-critical collision detection
- Automated interrogation and adaptive subdivision of shape using medial axis transform
- Smooth surface reconstruction via natural neighbour interpolation of distance functions
- A simple algorithm for homeomorphic surface reconstruction
- Computing and Simplifying 2D and 3D Continuous Skeletons
Cited by
- ARTIST-DRIVEN FRACTURING OF POLYHEDRAL SURFACE MESHES
- Spectral mesh segmentation
- Contribution à la reconstruction de surfaces complexes à partir d'un grand flot de données non organisées pour la métrologie 3D.
- Skeleton based visual pattern recognition: applications to tabletop interaction
- A new geometric-and-physics model of milling and an effective approach to medial axis transforms of free-form pockets for high performance machining
- Medial Meshes for Volume Approximation
- Geodesic grassfire for computing mixed-dimensional skeletons
- Geometrical parameters evaluation of optical coordinate measurement using Voronoi diagram
- Determining Alpha-Helix Correspondence for Protein Structure Prediction from Cryo-EM Density Maps, Master's Thesis, May 2007
- Esquisse virtuelle en conception mécanique
- Geometry of surfaces :from the estimation of local differential quantitiesto the robust extraction of global differentialfeatures. (Géométrie des surfaces :de l'estimation des quantités différentielles localesà l'extraction robuste d'éléments caractéristiquesglobaux)
- A graph-based method for fitting planar B-spline curves with intersections
- Approximate convex decomposition and its applications
- Modeling Cardiovascular Anatomy from Patient-Specific Imaging Data
- Skeletal representations of orthogonal shapes
- Automated Slicing for a Multi-Axis Metal Deposition System (Preprint)
- Skeleton-driven Laplacian Mesh Deformations
- Minimal Sampling Criteria and Method for Nonmanifold Surface Reconstruction from Unorganized Points
- A geometric approach for deciphering protein structure from cryo-em volumes
- Uncertainties in segmentation and their visualisation
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