Journal of applied mathematics & informatics

  • 제4권2호
  • /
  • Pages.387-396
  • /
  • 1997
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

ON THE CONSTRUCTION OF A SURFACE FROM DISCRETE DERIVATIVE DATA AND ITS EXTENDED SURFACE USING THE LEAST SQUARES METHOD

  • Kim, Hoi-Sub (Department of Mathematics Kyungwon University)
  • 발행 : 1997.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

For given discrete derivative data in a rectangular re-gion we propose a method to generate an approximated surface which fits the given derivative data in the region and extends smoothly to a sufficiently large rectangular region. Such an extension in nec-essary in the generation of the surface in NC(numerical control) ma-chine.

키워드

참고문헌

  1. SIAM. J. Numer. Anal. v.14 no.3 Package for calculating with B-splines C. de Boor
  2. Approximation theory Ⅱ Splines as linear combinations of B-splines C. de Boor;G. G. Lorentz(ed.);C. K. Chui(ed.);L. L. Schumaker(ed.)
  3. J. Inst. Maths. Applics v.10 The numerical evaluation of B-splines M G. Cox
  4. J. Inst. Maths. Applics v.14 The least squares-fitting of cubic spline surfaces to General Data Sets J. G. Hayes;J. Halliday
  5. M. S. Thesis On the surface fittings by multivariate B-splines H. S. Kim