Free-Form Curve Interpolation Method for Shape Preservation

형태 보존성을 위한 자유 형태 곡선 보간 방법

  • 이아리 (광운대학교 대학원 전자계산학과) ;
  • 박철호 (두원공과대학 컴퓨터그래픽스과) ;
  • 심재홍 (광운대학교 전자계산학과)
  • Published : 1999.03.01

Abstract

Shape-preserving property is the important method that controls the complex free form curve/surface. Interpolation method for the existed Shape-Preservation had problems that it has needed the minimization of a curvature-related functions for calculating single-valued data. Solving this problem, in this paper, it proposed to the algorithm of generalizing C piecewise parametric cubic that has shape-preserving property for both Single-value data and Multivalue data. When there are the arbitrary tangents and two data, including shape-preserving property, this proposed method gets piecewise parametric cubic polynomial by checking the relation between the shape-preserving property and then calculates efficiently the control points using that. Also, it controls the initial shape using curvature distribution on curve segments.

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