The Journal of the Society for Art and Science
Online ISSN : 1347-2267
ISSN-L : 1347-2267
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A Smooth Interpolation Method for Generating Non-Distorted Surfaces of Three and Five Sided Faces Based on Regular Polygon
Yuta MurakiKouichi KonnoYoshimasa Tokuyama
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2010 Volume 9 Issue 2 Pages 49-57

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Abstract
N-Sided hole filling is being studied by a lot of people from of old. However, in the case of the shape which extremely different length of edge generated by fillet operation, the distorted and discontinuous shape is generated, and the other method requires a manual input by the user. Each of methods have its merits and demerits. Therefore it is still difficult to solve these three problems at same time. In this paper, we have studied a method for solving these three problems simultaneously. First, divided edges and its parameters are determined, and generate the edges that the area is divided by generating a regular shape. And then, each area is interpolated by a curved surface.
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© 2010 Yuta Muraki, Kouichi Konno and Yoshimasa Tokuyama
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