authors 
Takahashi, S., Shinagawa, Y. and Kunii, T.L. 
year 
1997 
title 
A FeatureBased Approach for Smooth Surfaces 
source 
Proceedings of Fourth Symposium on Solid Modeling, pp. 97110 
summary 
Featurebased representation has become a topic of interest in shape modeling techniques. Such feature based techniques are, however, still restricted to polyhedral shapes, and none has been done on smooth sur faces. This paper presents a new featurebased ap proach for smooth surfaces. Here, the smooth surfaces are assumed to be 2dimensional @differentiable manifolds within a theoretical framework. As the shape features, critical points such as peaks, pits, and passes are used. We also use a critical point graph called the R.eeb graph to represent the topological skeletons of a smooth object. Since the critical points have close relations with the entities of Breps, the framework of thtx Breps can easily be applied to our approach. In our method, the shape design process begins with specifying the topological skeletons using the Reeb graph. The Reeb graph is edited by pasting the enti ties called cells that have onetoone correspondences with the critical points. In addition to the topological skeletons, users also design the geometry of the objects with smooth surfaces by specifying the flow curves that run on the object surface. From these flow curves, the system automatically creates a control network that encloses the object shape. The surfaces are interpolated from the control network by minimizing the allergy function subject to the deformation of the surfaces using variational optimization. 
series 
other 
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last changed 
2003/04/23 13:50 
