Parametric Piecewise Modeling of Bezier and Polynomial Surfaces
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概要
- 論文の詳細を見る
The act of finding or constructing a model for a portion of a given polynomial or Bezier parametric surface from the whole original one is an encountered problem in surface modeling. A new method is described for constructing polynomial or Bezier piecewise model from an original one. It is based on the "Parametric Piecewise Model," abbreviated to PPM, of curve representation. The PPM representation is given by explicit expressions in terms of only control points or polynomial coefficients. The generated piecewise model behaves completely as a normal, polynomial or Bezier model in the same way as the original one for the piece of region considered. Also it has all characteristics, i.e, order and number of control points as the original one, and satisfies at the boundaries all order continuities. The PPM representation permits normalization, piecewise modeling, PPM reduction and systematic processes.
- 社団法人電子情報通信学会の論文
- 1998-01-25
著者
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Nagahashi Hiroshi
The Interdisciplinary Graduate School Of Science And Engineering Tokyo Institute Of Technology
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Nagahashi Hiroshi
The Imaging Science And Engineering Laboratory Tokyo Institute Of Technology
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IMINE Mohamed
The Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology
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Imine Mohamed
The Interdisciplinary Graduate School Of Science And Engineering Tokyo Institute Of Technology
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