가이드 곡면을 이용한 곡명의 변형

Surface Deformation Using Guide Surfaces

  • 김성환 (서울산업대학교 기계설계자동화공학부)
  • 발행 : 2007.12.31

초록

In this paper, the method to modify a surface through three dimensional vector field technique is presented, In this method two guide surfaces are required as a shape reference. One is the shape of original surface, the other is the target shape for the result surface. Proposed method is consists of two steps. The first step is to calculate the mapping points on original and target guide surfaces so that the shape error may be minimized. The second step is to construct the smooth vector field from mapping points of the first step. The developed method is applied to shoe design system which makes the surface modeling very easy and effective.

키워드

참고문헌

  1. Carmo, M. P. D., Differential Geometry of Curves and Surfaces, Prentice Hall, Engleweel Cliffs, NJ, USA, 1976
  2. Azariadis, P., Nearchou, A. and Aspragathos, N., 'An Evolutionary Algorithm for Generating Planar Developments of Arbitrarily Curved Surfaces', Computers in Industry, Vol. 47, No. 3, pp. 357-368, 2002 https://doi.org/10.1016/S0166-3615(01)00155-5
  3. Wang, C., Smith, S. and Yuen, M., 'Surface Flattening based on Energy Model', Computer Aided Design, Vol. 34, pp. 823-833, 2002 https://doi.org/10.1016/S0010-4485(01)00150-6
  4. 조정범, '구두 패턴 설계를 위한 자유곡면의 펼침알고리즘에 대한 연구', 석사학위논문, 서울대학교 대학원 기계항공공학, 2002
  5. 송성재, 김성환, '신발패턴의 3차원 설계를 위한 곡면의 평면전개에 관한 연구', 한국 CAD/CAM학회 논문집, 제9권, 제3호, pp. 266-275, 2004
  6. Faires, J. D. and Burden, R. L., Numerical Methods, International Thomson Publishing, 1996
  7. Kundert, K. S. and Sangiovanni-Vincentelli, A Sparse Linear Equation Solver, Dept. of Electrical Engineering and Computer Sciences, U.C. Berkeley, 1988
  8. Sederberg, T. W. and Parry, R., 'Free-form Deformations of Solid Geometric Models', Computer Graphics, Vol. 20, No. 4, pp. 151-160, 1986 https://doi.org/10.1145/15886.15903
  9. Coquillart, S. and Jancene, P., 'Animated Free-form Deformation: An Interactive Animation Technique', Computer Graphics, Vol. 25, No. 4, pp. 23-26, 1991 https://doi.org/10.1145/127719.122720
  10. Lee, S., Wolberg, G. and Shin, S. Y, 'Scattered Data Interpolation with Multilevel B-Splines', IEEE Transactions on Visualization and Computer Graphics, Vol. 3, No. 3, pp. 228-244, 1997 https://doi.org/10.1109/2945.620490
  11. 김성환, 송성재, '불균일 이산 구속조건을 만족시키는 곡면 모델의 변형 방법', 한국 CAD/CAM학회 논문집, 제12권, 제1호, pp. 58-73, 2007
  12. Farin, G. and Hansford, D., The Essentials of CAGD, AK Peters, Ltd., 2000