Introducing Feature Values for Effective Specification of Polyhederal Networks

概要

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The recursive subdivision of polyhedral networks, often called polyhedral subdivision, has become one of the basic tools in Computer Aided Geometric Design (CAGD) for modeling complex surfaces since the first two methods were proposed by Catmull and Clark (1978) and Doo and Sabin (1978). Unfortunately, it is still inconvenient to use polyhedral subdivision to generate surfaces which are the same as or close to the surfaces designers want to achieve over simple and rough polyhedral networks. The efficient and easy way of achieving this is to define precision polyhedral networks. However, it is obviously very troublesome for users to generate precise, complex polyhedral networks. In order to solve this problem, the concept of feature values for vertices, edges, and faces of a polyhedron is introduced in this paper, and the problem of making a subdivision process with the feature values of a polyhedron is studied. With these feature values, a polyhedron will be divided once before using a polyhedral subdivision method to generate surfaces. The newly generated polyhedrons can be controlled and modified easily by adjusting the feature values. This paper proposes an efficient way to creat polyhedral networks for modeling complex surfaces.
一般社団法人情報処理学会の論文
2000-03-15