메뉴 건너뛰기




Volumn 40, Issue 10-11, 2008, Pages 1051-1054

Computing the minimum distance between a point and a NURBS curve

Author keywords

Newton's method; NURBS curve; Point projection; Root isolation; Subdivision

Indexed keywords

NEWTON-RAPHSON METHOD;

EID: 56649107906     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2008.06.008     Document Type: Article
Times cited : (70)

References (25)
  • 1
    • 13544270799 scopus 로고    scopus 로고
    • A second order algorithm for orthogonal projection onto curves and surfaces
    • Hu S.M., and Wallner J. A second order algorithm for orthogonal projection onto curves and surfaces. Computer Aided Geometric Design 22 3 (2005) 251-260
    • (2005) Computer Aided Geometric Design , vol.22 , Issue.3 , pp. 251-260
    • Hu, S.M.1    Wallner, J.2
  • 2
    • 0037621953 scopus 로고    scopus 로고
    • Point inversion and projection for NURBS curve and surface: Control polygon approach
    • Ma Y.L., and Hewitt W.T. Point inversion and projection for NURBS curve and surface: Control polygon approach. Computer Aided Geometric Design 20 2 (2003) 79-99
    • (2003) Computer Aided Geometric Design , vol.20 , Issue.2 , pp. 79-99
    • Ma, Y.L.1    Hewitt, W.T.2
  • 3
    • 1842832051 scopus 로고    scopus 로고
    • Control point adjustment for B-spline curve approximation
    • Yang H.P., Wang W.P., and Sun J.G. Control point adjustment for B-spline curve approximation. Computer-Aided Design 36 (2004) 639-652
    • (2004) Computer-Aided Design , vol.36 , pp. 639-652
    • Yang, H.P.1    Wang, W.P.2    Sun, J.G.3
  • 5
    • 0035399520 scopus 로고    scopus 로고
    • Parametrization for surface fitting in reverse engineering
    • Piegl L., and Tiller W. Parametrization for surface fitting in reverse engineering. Computer-Aided Design 33 8 (2001) 593-603
    • (2001) Computer-Aided Design , vol.33 , Issue.8 , pp. 593-603
    • Piegl, L.1    Tiller, W.2
  • 6
    • 0030104909 scopus 로고    scopus 로고
    • Surface curve design by orthogonal projection of space curves onto free-form surfaces
    • Pegna J., and Wolter F.E. Surface curve design by orthogonal projection of space curves onto free-form surfaces. Journal of Mechanical Design, ASME Transactions 118 1 (1996) 45-52
    • (1996) Journal of Mechanical Design, ASME Transactions , vol.118 , Issue.1 , pp. 45-52
    • Pegna, J.1    Wolter, F.E.2
  • 10
    • 32244439193 scopus 로고    scopus 로고
    • Johnson DE, Cohen E. Distance extrema for spline models using tangent cones. In: Proceedings of the 2005 conference on graphics interface. 2005
    • Johnson DE, Cohen E. Distance extrema for spline models using tangent cones. In: Proceedings of the 2005 conference on graphics interface. 2005
  • 15
    • 0034826167 scopus 로고    scopus 로고
    • Elber G, Kim MS. Geometric constraint solver using multivariate rational spline functions. In: Proceedings of the sixth ACM symposium on solid modeling and applications. 2001. p. 1-10
    • Elber G, Kim MS. Geometric constraint solver using multivariate rational spline functions. In: Proceedings of the sixth ACM symposium on solid modeling and applications. 2001. p. 1-10
  • 17
    • 0025513317 scopus 로고
    • Curve intersection using Bézier clipping
    • Sederberg T.W., and Nishita T. Curve intersection using Bézier clipping. Computer-Aided Design 22 9 (1990) 538-549
    • (1990) Computer-Aided Design , vol.22 , Issue.9 , pp. 538-549
    • Sederberg, T.W.1    Nishita, T.2
  • 18
    • 46449095468 scopus 로고    scopus 로고
    • Chen XD, Zhou Y, Shu ZY, Su H, Paul JC. Improved algebraic algorithm on point projection for Bézier curves. In: International multi-symposiums on computer and computational sciences. USA: The University of Iowa; 2007
    • Chen XD, Zhou Y, Shu ZY, Su H, Paul JC. Improved algebraic algorithm on point projection for Bézier curves. In: International multi-symposiums on computer and computational sciences. USA: The University of Iowa; 2007
  • 19
    • 33646841361 scopus 로고    scopus 로고
    • Improved algorithms for the projection of points on NURBS curves and surfaces
    • Selimovic I. Improved algorithms for the projection of points on NURBS curves and surfaces. Computer Aided Geometric Design 23 5 (2006) 439-445
    • (2006) Computer Aided Geometric Design , vol.23 , Issue.5 , pp. 439-445
    • Selimovic, I.1
  • 21
    • 0019032952 scopus 로고
    • Inserting new knots into B-spline curves
    • Boehm W. Inserting new knots into B-spline curves. Computer-Aided Design 12 (1980) 199-201
    • (1980) Computer-Aided Design , vol.12 , pp. 199-201
    • Boehm, W.1
  • 22
    • 0019227833 scopus 로고
    • Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics
    • Cohen E., Lyche T., and Riesebfeld R. Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics. Computer Graphics and Image Processing 14 (1980) 87-111
    • (1980) Computer Graphics and Image Processing , vol.14 , pp. 87-111
    • Cohen, E.1    Lyche, T.2    Riesebfeld, R.3
  • 24
    • 0346650250 scopus 로고
    • Combining binary search and Newton's method to compute real roots for a class of real functions
    • Ye Y. Combining binary search and Newton's method to compute real roots for a class of real functions. Journal of Complexity 10 3 (1994) 271-280
    • (1994) Journal of Complexity , vol.10 , Issue.3 , pp. 271-280
    • Ye, Y.1
  • 25
    • 0001419758 scopus 로고
    • Some identities for products and degree raising of splines
    • Morken K. Some identities for products and degree raising of splines. Constructive Approximation 7 2 (1991) 195-208
    • (1991) Constructive Approximation , vol.7 , Issue.2 , pp. 195-208
    • Morken, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.