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
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
Any open bounded subset of Rn has the same homotopy type than its medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
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
Homotopy-preserving medial axis simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Stability of persistence diagrams
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Identifying flat and tubular regions of a shape by unstable manifolds
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Multi-component heart reconstruction from volumetric imaging
Proceedings of the 2008 ACM symposium on Solid and physical modeling
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
Computing handle and tunnel loops with knot linking
Computer-Aided Design
Computing medial axes of generic 3D regions bounded by B-spline surfaces
Computer-Aided Design
Normal and feature approximations from noisy point clouds
FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
Secondary and tertiary structural fold elucidation from 3d EM maps of macromolecules
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
Generalized Swept Mid-structure for Polygonal Models
Computer Graphics Forum
Computational and structural advantages of circular boundary representation
WADS'07 Proceedings of the 10th international conference on Algorithms and Data Structures
Guaranteed quality tetrahedral Delaunay meshing for medical images
Computational Geometry: Theory and Applications
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Medial Axis is known to be unstable for non smooth 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" of O, Mλ, a subset of the Medial Axis of O which captures the Homotopy type of O when λ λ remains stable under Hausdorff distance perturbations of Oc.