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软件学报  2007 

Geodesic-Based Constrained Deformations for Polygonal Mesh Models
基于测地距离的多边形网格模型约束变形

Keywords: constrained deformation,geodesic path,geodesic distance,geometric modeling,polygonal mesh model
约束变形
,测地线,测地距离,几何建模,多边形网格模型

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Abstract:

This paper presents a geodesic-based constrained deformation method for polygonal mesh models. After a user specifies a series of constraints (which may consist of points, lines and faces), their effective radii, maximum displacements, scaling, and rotation angles, the method creates the deformation weights for the vertices of the mesh surfaces using the field values determined by the geodesic distances between the vertices and the constraint sources. Compared with the traditional constrained deformation model based on Euclidean distance, this method can avoid the undesired deformation on the regions near the constraints. Experimental results show that the new deformation model is both efficient and intuitive.

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