自由曲線，曲面の生成時における制御点決定の一手法

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タイトル別名
  • Determining Control Points of Free-form Curves for Interpolations.
  • ジユウ キョクセン キョクメン ノ セイセイジ ニ オケル セイギョテン ケッ

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抄録

In order to generate free-form curves passing through given point sequence without solving the simultaneous equations which represent the relationships between the coefficients of curve segments, a method of inserting an extra control point between each two subsequent control points has been developed. Two methods for determining such an extra control point, which is called additional control point, are discussed. First the method for using the approximated solutions of the simultaneous equations is considered. Next a new method simpler than the former ones, which needs not solve the simultaneous equations, is presented. Curves generated by these methods are compared with each other and compared with the curves generated by solving the simultaneous equations.

収録刊行物

  • 精密工学会誌

    精密工学会誌 58 (4), 715-719, 1992

    公益社団法人 精密工学会

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