Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
New algorithm for medial axis transform of plane domain
Graphical Models and Image Processing
Computer Aided Geometric Design
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Journal of Computational and Applied Mathematics
Computational Line Geometry
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
International Journal of Computer Vision
On Voronoi Diagrams and Medial Axes
Journal of Mathematical Imaging and Vision
Voronoi Diagrams for Planar Shapes
IEEE Computer Graphics and Applications
Exploiting curvatures to compute the medial axis for domains with smooth boundary
Computer Aided Geometric Design
Voronoi diagram computations for planar NURBS curves
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Computation of medial axis and offset curves of curved boundaries in planar domain
Computer-Aided Design
An efficient sweep-line Delaunay triangulation algorithm
Computer-Aided Design
A fast algorithm for constructing approximate medial axis of polygons, using Steiner points
Advances in Engineering Software
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The medial axis (MA) of a planar region is the locus of those maximal disks contained within its boundary. This entity has many CAD/CAM applications. Approximations based on the Voronoi diagram are efficient for linear-arc boundaries, but such constructions are more difficult if the boundary is free. This paper proposes an algorithm for free-form boundaries that uses the relation between MA and offsets. It takes the curvature information from the boundary in order to find the self-intersections of successive offset curves. These self-intersection points belong to the MA and can be interpolated to obtain an approximation in Bezier form. This method also approximates the medial axis transform by using the offset distance to each self-intersection.