Boundary surface recovery from skeleton curves and surfaces
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Cited by (27)
Interior Medial Axis Transform computation of 3D objects bound by free-form surfaces
2010, CAD Computer Aided DesignCitation Excerpt :There exists a bijective mapping between the MAT and the object’s boundary [9] which means that for an object, there will be a unique MAT. Moreover, it is possible to reconstruct the object given its MAT [10]. The MAT can potentially be used as a representation scheme in geometric modelers, along with more popular schemes, such as constructive solid geometry (CSG) and boundary representation (B-rep) [11].
Automatic piloting in progressive dies using medial axis transform
2010, Applied Mathematical ModellingCitation Excerpt :Uniqueness; There is a unique MAT for a given object [36]. Invertibility; With the axis and its radius function one can reconstruct the object by taking the union of all circles centered on the points corresponding to the axis, each with a radius given by radius function [37]. Dimensional reduction; The dimensionality of a MAT is lower than that of its object [38].
Computation of medial axis and offset curves of curved boundaries in planar domains based on the Cesaro's approach
2009, Computer Aided Geometric DesignComputation of medial axis and offset curves of curved boundaries in planar domain
2008, CAD Computer Aided DesignCitation Excerpt :Based on these characteristics and researchers’ efforts, the MAT has been used in pattern analysis, image analysis, finite element mesh generation, CNC tool-path planning, etc. And it can potentially be used as a representation scheme in geometric modelers, along with constructive solid geometry (CSG) and boundary representation (B-rep) [2]. The algorithms for the MAT have been investigated for many years.
Constructing medial axis transform of extruded and revolved 3D objects with free-form boundaries
2005, CAD Computer Aided DesignConstructing medial axis transform of planar domains with curved boundaries
2003, CAD Computer Aided Design
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Currently with Ford Motor Company, Dearborn, MI, USA.