Proceedings of the fifth ACM symposium on Solid modeling and applications
Proceedings of the fifth ACM symposium on Solid modeling and applications
Accurate computation of the medial axis of a polyhedron
Proceedings of the fifth ACM symposium on Solid modeling and applications
Smooth surface reconstruction via natural neighbour interpolation of distance functions
Proceedings of the sixteenth annual symposium on Computational geometry
Computing Voronoi skeletons of a 3-D polyhedron by space subdivision
Computational Geometry: Theory and Applications
Approximate medial axis as a voronoi subcomplex
Proceedings of the seventh ACM symposium on Solid modeling and applications
The flow complex: a data structure for geometric modeling
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Alpha-shapes and flow shapes are homotopy equivalent
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Automating the CAD/CAE dimensional reduction process
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Efficient computation of a simplified medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Stability and Finiteness Properties of Medial Axis and Skeleton
Journal of Dynamical and Control Systems
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
Provably good sampling and meshing of surfaces
Graphical Models - Solid modeling theory and applications
Topology guaranteeing manifold reconstruction using distance function to noisy data
Proceedings of the twenty-second annual symposium on Computational geometry
A sampling theory for compact sets in Euclidean space
Proceedings of the twenty-second annual symposium on Computational geometry
Medial axis approximation and unstable flow complex
Proceedings of the twenty-second annual symposium on Computational geometry
Provably good sampling and meshing of Lipschitz surfaces
Proceedings of the twenty-second annual symposium on Computational geometry
A flexible framework for surface reconstruction from large point sets
Computers and Graphics
Shape smoothing using double offsets
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Surface reconstruction from noisy point clouds
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Reconstruction with Voronoi centered radial basis functions
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Reconstruction using witness complexes
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees
Computational Geometry: Theory and Applications
Towards persistence-based reconstruction in euclidean spaces
Proceedings of the twenty-fourth annual symposium on Computational geometry
Approximating the pathway axis and the persistence diagram of a collection of balls in 3-space
Proceedings of the twenty-fourth annual symposium on Computational geometry
Multi-scale Representation and Persistency for Shape Description
MDA '08 Proceedings of the 3rd international conference on Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry
Normal cone approximation and offset shape isotopy
Computational Geometry: Theory and Applications
Proceedings of the twenty-fifth annual symposium on Computational geometry
Proceedings of the twenty-fifth annual symposium on Computational geometry
Cut locus and topology from surface point data
Proceedings of the twenty-fifth annual symposium on Computational geometry
Surface Thinning in 3D Cubical Complexes
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Discrete scale axis representations for 3D geometry
ACM SIGGRAPH 2010 papers
Segmenting simplified surface skeletons
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Reconstructing shapes with guarantees by unions of convex sets
Proceedings of the twenty-sixth annual symposium on Computational geometry
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Sampled medial loci for 3D shape representation
Computer Vision and Image Understanding
Hierarchic euclidean skeletons in cubical complexes
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Delaunay properties of digital straight segments
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Vietoris-rips complexes also provide topologically correct reconstructions of sampled shapes
Proceedings of the twenty-seventh annual symposium on Computational geometry
PRIB'11 Proceedings of the 6th IAPR international conference on Pattern recognition in bioinformatics
Exact medial axis computation for triangulated solids with respect to piecewise linear metrics
Proceedings of the 7th international conference on Curves and Surfaces
Voronoi-Based curve reconstruction: issues and solutions
ICCSA'12 Proceedings of the 12th international conference on Computational Science and Its Applications - Volume Part II
Vietoris-Rips complexes also provide topologically correct reconstructions of sampled shapes
Computational Geometry: Theory and Applications
Topological maps and robust hierarchical Euclidean skeletons in cubical complexes
Computer Vision and Image Understanding
Graph induced complex on point data
Proceedings of the twenty-ninth annual symposium on Computational geometry
Scale filtered euclidean medial axis
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Skeletal representations of orthogonal shapes
Graphical Models
Sphere-Meshes: shape approximation using spherical quadric error metrics
ACM Transactions on Graphics (TOG)
Progressive medial axis filtration
SIGGRAPH Asia 2013 Technical Briefs
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Medial axis is known to be unstable for nonsmooth objects. For an open set O, we define the weak feature size, wfs, minimum distance between Oc and the critical points of the function distance to Oc. We introduce the "lambda-medial axis" Mλ of O, a subset of the medial axis of O which captures the homotopy type of O when λ Mλ remains stable under Hausdorff distance perturbations of Oc.