Computational geometry: an introduction
Computational geometry: an introduction
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Constructing 3-D discrete medial axis
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Continuous skeletons of discrete objects
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
The Euclidean distance transform
The Euclidean distance transform
Computation of the Medial Axis Transform of 3-D polyhedra
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Computing the medial surface of a solid from a domain Delaunay triangulation
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Voronoi Diagrams of Set-Theoretic solid Models
IEEE Computer Graphics and Applications
Numerical Computations of Medial Surface Vertices
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
The bisector surface of rational space curves
ACM Transactions on Graphics (TOG)
Computing bounding volume hierarchies using model simplification
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Proceedings of the fifth ACM symposium on Solid modeling and applications
Rational bisectors of CSG primitives
Proceedings of the fifth ACM symposium on Solid modeling and applications
Proceedings of the fifth ACM symposium on Solid modeling and applications
Accurate and efficient unions of balls
Proceedings of the sixteenth annual symposium on Computational geometry
Skeletonization of Three-Dimensional Object Using Generalized Potential Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the sixth ACM symposium on Solid modeling and applications
Approximate medial axis as a voronoi subcomplex
Proceedings of the seventh ACM symposium on Solid modeling and applications
International Journal of Computer Vision
Efficient Skeletonization of Volumetric Objects
IEEE Transactions on Visualization and Computer Graphics
Divergence-Based Medial Surfaces
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
Morse-smale complexes for piecewise linear 3-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry
Integrating CAE concepts with CAD geometry
Engineering computational technology
Exact computation of the medial axis of a polyhedron
Computer Aided Geometric Design
A medical-axes-based interpolation method for solidification simulation
Finite Elements in Analysis and Design
Simplified engineering analysis via medial mesh reduction
Proceedings of the 2005 ACM symposium on Solid and physical modeling
MAP: medial axis based geometric routing in sensor networks
Proceedings of the 11th annual international conference on Mobile computing and networking
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Simultaneous shape decomposition and skeletonization
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Efficient and robust computation of an approximated medial axis
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Medial axis extraction and shape manipulation of solid objects using parabolic PDEs
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Map: medial axis based geometric routing in sensor networks
Wireless Networks
Similarity measures for mid-surface quality evaluation
Computer-Aided Design
Straight Skeletons of Three-Dimensional Polyhedra
ESA '08 Proceedings of the 16th annual European symposium on Algorithms
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Surface sketching with a voxel-based skeleton
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Interior Medial Axis Transform computation of 3D objects bound by free-form surfaces
Computer-Aided Design
Computing medial axes of generic 3D regions bounded by B-spline surfaces
Computer-Aided Design
Couple points --- a local approach to global surface analysis
Proceedings of the 7th international conference on Curves and Surfaces
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
A fast algorithm for constructing approximate medial axis of polygons, using Steiner points
Advances in Engineering Software
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The medial surface is a skeletal abstraction of a solid that provides useful shape information, which compliments existing model representation schemes. The medial surface and its associated topological entities are defined, and an algorithm for computing the medial surface of a large class of B-rep solids is then presented. The algorithm is based on the domain Delaunay triangulation of a relatively sparse distribution of points, which are generated on the boundary of the object. This strategy is adaptive in that the boundary point set is refined to guarantee a correct topological representation of the medial surface.