Korean Journal of Computational Design and Engineering (한국CDE학회논문집)

Society for Computational Design and Engineering (한국CDE학회)
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Local Modification of a Surface and Multiple Knot Insertion by Using the Chebyshev Polynormial

Chebyshev 다항식에 기초한 다수개의 절점 삽입과 곡면의 국부 수정

  • 최성일 (충남대학교 기계공학과) ;
  • 김태규 (충남대학교 기계공학과) ;
  • 변문현 (충남대학교 기계공학과)
  • Published : 1998.06.01
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Abstract

In this paper insertion of numerous control points to be performed by using the Chebyshev polynomial root at the selection of knot vector. This method introduces a simple method of knot refinement and it is applied in a developed program. The Chebyshev roots exist densely in broth ends of the range and are proposed more effective knot refinement to modify a surface. Therefore, generated control points are relatively uniform in specified knot interval. In the surface generation, a local insertion of numerous control points are easily inserted by using the characteristic of Chebyshev polynomial roots at knot refinement. It is possible to create a complex surface with a single surface. The number of control point can be reduced by using the local insertion of control points in a required shape

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References

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