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Titlebook: Geometric Modeling and Processing - GMP 2006; 4th International Co Myung-Soo Kim,Kenji Shimada Conference proceedings 2006 Springer-Verlag

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Computing a Family of Skeletons of Volumetric Models for Shape Descriptionative thinning process. However, traditional thinning methods often generate skeletons with complex structures that are unsuitable for shape description, and appropriate pruning methods are lacking. In this paper, we present a new method for computing skeletons on volumes by alternating thinning and
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Representing Topological Structures Using Cell-Chainsl-tuple data structure. Cell-chains are identical to cell-tuples when there are no degeneracies: cells or simplices with identified vertices. The proof of correctness is based on axioms true for maps, such as those in Brisson’s cell-tuple representation. A critical new condition (axiom) is added to
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Constructing Regularity Feature Trees for Solid Modelssign intent. Automatically inferring geometric aspects of the design intent, represented by feature trees and geometric constraints, enhances the utility of such models for downstream tasks. One approach to design intent detection in such models is to decompose them into .. Geometric regularities su
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Quadric Surface Extraction by Variational Shape Approximationr metric, we use a new approximate .. error metric to make our method more efficient for computing with general quadrics. Furthermore, a method based on graph cut is proposed to smooth irregular boundary curves between segmented regions, which greatly improves the final results.
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Efficient Piecewise Linear Approximation of Bézier Curves with Improved Sharp Error Boundharp error bound, it is also possible for prior estimation of necessary subdivisions to meet a pre-defined tolerance. The approximation can also be locally and adaptively refined for reducing the number of vertices of the piecewise linear approximation while meeting the required tolerance.
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