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Volumn 21, Issue 6, 2004, Pages 549-560

The conversion matrix between uniform B-spline and Bézier representations

Author keywords

Direct transformations; Explicit multi B zier form; Matrix representation; Uniform B spline basis functions

Indexed keywords

ALGORITHMS; COMPUTER AIDED DESIGN; COMPUTER HARDWARE; COMPUTER SOFTWARE; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS;

EID: 2942676751     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2004.04.002     Document Type: Article
Times cited : (24)

References (12)
  • 1
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    • Boehm, W.1
  • 2
    • 0011675806 scopus 로고
    • Computation of box-splines and B-splines on triangulations of nonuniform rectangular partitions
    • Chui C.K., Lai M.J. Computation of box-splines and B-splines on triangulations of nonuniform rectangular partitions. Approx. Theory Appl. 3:1987;37-62.
    • (1987) Approx. Theory Appl. , vol.3 , pp. 37-62
    • Chui, C.K.1    Lai, M.J.2
  • 3
    • 0003352571 scopus 로고
    • Multivariate splines
    • Philadelphia: SIAM
    • Chui C.K. Multivariate Splines. CBMS Lectures Ser. vol. 54:1988;SIAM, Philadelphia.
    • (1988) CBMS Lectures Ser. , vol.54
    • Chui, C.K.1
  • 4
    • 0026388327 scopus 로고
    • Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four- directional meshes
    • Chui C.K., Lai M.J. Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four- directional meshes. Computer Aided Geometric Design. 8:1991;479-493.
    • (1991) Computer Aided Geometric Design , vol.8 , pp. 479-493
    • Chui, C.K.1    Lai, M.J.2
  • 5
    • 0019227833 scopus 로고
    • Discrete B-splines and subdivision techniques in computer aided geometric design and computer graphics
    • Cohen E., Lyche T., Riesenfeld R. Discrete B-splines and subdivision techniques in computer aided geometric design and computer graphics. Computer Graphics and Image Processing. 14:(2):1980;87-111.
    • (1980) Computer Graphics and Image Processing , vol.14 , Issue.2 , pp. 87-111
    • Cohen, E.1    Lyche, T.2    Riesenfeld, R.3
  • 7
    • 2942651459 scopus 로고
    • General matrix representation for NURBS curves and surfaces for interfaces
    • J. Hoschek. Teubner
    • Grabowski H., Li X. General matrix representation for NURBS curves and surfaces for interfaces. Hoschek J. Freeform Tools in CAD Systems - A Comparison. 1991;219-232 Teubner.
    • (1991) Freeform Tools in CAD Systems - A Comparison , pp. 219-232
    • Grabowski, H.1    Li, X.2
  • 8
    • 2442468945 scopus 로고    scopus 로고
    • Theory and algorithms for non-uniform spline wavelets
    • N. Dyn, D. Leviatan, D. Levin, & A. Pinkus. Cambridge University Press
    • Lyche T., Mørken K., Quak E. Theory and algorithms for non-uniform spline wavelets. Dyn N., Leviatan D., Levin D., Pinkus A. Multivariate Approximation and Applications. 2001;152-187 Cambridge University Press.
    • (2001) Multivariate Approximation and Applications , pp. 152-187
    • Lyche, T.1    Mørken, K.2    Quak, E.3
  • 10
    • 0003699327 scopus 로고
    • Blossoming: A connect-the-dots approach to splines
    • Digital System Research Center, Palo Alto
    • Ramshaw, L., 1987. Blossoming: A connect-the-dots approach to splines, Technical Report 19, Digital System Research Center, Palo Alto.
    • (1987) Technical Report , vol.19
    • Ramshaw, L.1
  • 11
    • 0003838799 scopus 로고
    • The use of piecewise forms for the numerical representation of shape
    • Budapest: MTA Szamitastechnikai es Automatizalasi Kutato Intezet
    • Sabin M.A. The use of piecewise forms for the numerical representation of shape. Tanulmanyok 60/1977:1976;MTA Szamitastechnikai es Automatizalasi Kutato Intezet, Budapest.
    • (1976) Tanulmanyok , vol.60 , Issue.1977
    • Sabin, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.