메뉴 건너뛰기




Volumn 2002-January, Issue , 2002, Pages 8-25

Approximation with active B-spline curves and surfaces

Author keywords

Active contours; Application software; Character generation; Computer vision; Geometry; Least squares approximation; Parameter estimation; Polynomials; Smoothing methods; Spline

Indexed keywords

ALGORITHMS; APPLICATION PROGRAMS; COMPUTER GRAPHICS; COMPUTER VISION; GEOMETRY; INTERPOLATION; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; PARAMETER ESTIMATION; POLYNOMIALS; SPLINES; THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 84948773216     PISSN: 15504085     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PCCGA.2002.1167835     Document Type: Conference Paper
Times cited : (106)

References (62)
  • 1
    • 0029201534 scopus 로고
    • Automatic reconstruction of surfaces and scalar fields from 3D scans
    • Bajaj, C., Bernardini, F., Xu, G., Automatic reconstruction of surfaces and scalar fields from 3D scans. SIGGRAPH '95 Proceedings (1995), 193-198.
    • (1995) SIGGRAPH '95 Proceedings , pp. 193-198
    • Bajaj, C.1    Bernardini, F.2    Xu, G.3
  • 4
    • 0033702377 scopus 로고    scopus 로고
    • Smooth shape reconstruction via natural neighbor interpolation of distance functions
    • Boissonnat, J. D., Cazals, F., Smooth shape reconstruction via natural neighbor interpolation of distance functions, In: Proc. 16thAnn. ACMSympos. Comput. Geom. (2000), 223-232.
    • (2000) Proc. 16thAnn. ACMSympos. Comput. Geom. , pp. 223-232
    • Boissonnat, J.D.1    Cazals, F.2
  • 9
    • 0031475312 scopus 로고    scopus 로고
    • Minimal surfaces: A geometric three-dimensional segmentation approach
    • Caselles, V., Kimmel, R., Sapiro, G., Sbert, C. : Minimal surfaces: A geometric three-dimensional segmentation approach, Numerische Mathematik 77 (1997), 423-451.
    • (1997) Numerische Mathematik , vol.77 , pp. 423-451
    • Caselles, V.1    Kimmel, R.2    Sapiro, G.3    Sbert, C.4
  • 10
    • 0002754556 scopus 로고    scopus 로고
    • Mathematical theory of medial axis transform
    • Choi, H. I, Choi, S. W., Moon, H. P. : Mathematical theory of medial axis transform. Pacific J. Math. 181 (1997), 57-88.
    • (1997) Pacific J. Math. , vol.181 , pp. 57-88
    • Choi, H.I.1    Choi, S.W.2    Moon, H.P.3
  • 12
    • 0000570130 scopus 로고
    • Best approximations of parametric curves by splines
    • In: T. Lyche and L. L. Schumaker, eds, Boston, Academic Pres
    • Degen, W. L. F., Best approximations of parametric curves by splines, In: T. Lyche and L. L. Schumaker, eds., Mathematical Methods in Computer Aided Geometric Design II, Boston, Academic Pres, 1992, pp. 171-184.
    • (1992) Mathematical Methods in Computer Aided Geometric Design II , pp. 171-184
    • Degen, W.L.F.1
  • 15
    • 0027640625 scopus 로고
    • Degree reduction of Bézier curves
    • Eck, M., Degree reduction of Bézier curves, Computer Aided Geometric Design 10 (1993), 237-251.
    • (1993) Computer Aided Geometric Design , vol.10 , pp. 237-251
    • Eck, M.1
  • 17
    • 0002856306 scopus 로고    scopus 로고
    • Dynamic shapes of arbitrary dimension: The vector distance functions
    • In: R. Martin, ed, Springer
    • Faugeras, O., Gomes, J., Dynamic shapes of arbitrary dimension: The vector distance functions, In: R. Martin, ed., The Mathematics of Surfaces IX, Springer, 2000, pp. 227-262.
    • (2000) The Mathematics of Surfaces , vol.9 , pp. 227-262
    • Faugeras, O.1    Gomes, J.2
  • 19
    • 84989569856 scopus 로고
    • Variational design and fairing of spline surfaces
    • Greiner, G., Variational design and fairing of spline surfaces, Computer Graphics Forum 13 (1994), 143-154.
    • (1994) Computer Graphics Forum , vol.13 , pp. 143-154
    • Greiner, G.1
  • 22
    • 84975553202 scopus 로고
    • Closed form solution of absolute orientation using unit quaternions
    • Horn, B. K. P., Closed form solution of absolute orientation using unit quaternions, Journal of the Optical Society A 4 (1987), 629-642.
    • (1987) Journal of the Optical Society A , vol.4 , pp. 629-642
    • Horn, B.K.P.1
  • 24
    • 1842831238 scopus 로고    scopus 로고
    • Techniques for fair and shape preserving surface fitting with tensor-product B-splines
    • (J. M. Peña, ed.), Nova Science Publ., Commak, New York
    • Hoschek, J., Jüttler, B., Techniques for fair and shape preserving surface fitting with tensor-product B-splines, In: Shape Preserving Representations in Computer-Aided Geometric Design (J. M. Peña, ed.), Nova Science Publ., Commak, New York, 1999.
    • (1999) Shape Preserving Representations in Computer-Aided Geometric Design
    • Hoschek, J.1    Jüttler, B.2
  • 25
    • 0031250350 scopus 로고    scopus 로고
    • Surface fitting using convex tensor-product splines
    • Jüttler, B., Surface fitting using convex tensor-product splines, J. Comput. Appl. Math. 84 (1997), 23-44.
    • (1997) J. Comput. Appl. Math. , vol.84 , pp. 23-44
    • Jüttler, B.1
  • 31
  • 33
    • 0029183772 scopus 로고
    • Parametrization of randomly measured points for the least squares fitting of Bspline curves and surfaces
    • Ma, W., Kruth, J. P., Parametrization of randomly measured points for the least squares fitting of Bspline curves and surfaces, Computer Aided Design 27 (1995), 663-675.
    • (1995) Computer Aided Design , vol.27 , pp. 663-675
    • Ma, W.1    Kruth, J.P.2
  • 34
    • 84969557037 scopus 로고    scopus 로고
    • Catmull-Clark surface fitting for reverse engineering applications
    • Hong Kong
    • Ma, W., Zhao, N., Catmull-Clark surface fitting for reverse engineering applications, in: Proc. Geometric Modeling and Processing, Hong Kong, 2000, pp. 274-283.
    • (2000) Proc. Geometric Modeling and Processing , pp. 274-283
    • Ma, W.1    Zhao, N.2
  • 35
    • 0032676954 scopus 로고    scopus 로고
    • An overview of offset curves and surfaces
    • Maekawa, T., An overview of offset curves and surfaces, Comp. Aided Design 31 (1999), 165-173.
    • (1999) Comp. Aided Design , vol.31 , pp. 165-173
    • Maekawa, T.1
  • 37
    • 0035507080 scopus 로고    scopus 로고
    • Fast computation of weighted distance functions and geodesics on implicit hypersurfaces
    • Memoli, F., Sapiro, G., Fast computation of weighted distance functions and geodesics on implicit hypersurfaces, Journal of Computational Physics 173(2) (2001), 730-764.
    • (2001) Journal of Computational Physics , vol.173 , Issue.2 , pp. 730-764
    • Memoli, F.1    Sapiro, G.2
  • 38
    • 0025664509 scopus 로고
    • Interpolation of helical patches by kinematic rational Bézier patches
    • Mick, S., Röschel, O., Interpolation of helical patches by kinematic rational Bézier patches, Computers and Graphics 14 (1990), 275-280.
    • (1990) Computers and Graphics , vol.14 , pp. 275-280
    • Mick, S.1    Röschel, O.2
  • 41
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: An overview and some recent results
    • Osher, S., Fedkiw, R., Level set methods: An overview and some recent results, J. Comp. Physics 169 (2001), 463-502.
    • (2001) J. Comp. Physics , vol.169 , pp. 463-502
    • Osher, S.1    Fedkiw, R.2
  • 42
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulation
    • Osher, S. J., Sethian, J. A., Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulation, Journal of Computational Physics 79 (1988), 12-49.
    • (1988) Journal of Computational Physics , vol.79 , pp. 12-49
    • Osher, S.J.1    Sethian, J.A.2
  • 45
    • 84948834022 scopus 로고    scopus 로고
    • Technical report 90. Institute of Geometry, Vienna Univ. of Technology, January 2002. To appear in: Proceedings of 'Mathematics and Visualization, Springer
    • Pottmann, H., Hofer, M., Geometry of the squared distance function to curves and surfaces, Technical report 90, Institute of Geometry, Vienna Univ. of Technology, January 2002. To appear in: Proceedings of 'Mathematics and Visualization 2002', Springer.
    • (2002) Geometry of the Squared Distance Function to Curves and Surfaces
    • Pottmann, H.1    Hofer, M.2
  • 48
    • 11544274077 scopus 로고    scopus 로고
    • Rational motion design - A survey
    • Röschel, O., Rational motion design-a survey, Computer Aided Design 30 (1998), 169-178.
    • (1998) Computer Aided Design , vol.30 , pp. 169-178
    • Röschel, O.1
  • 50
    • 0031163961 scopus 로고    scopus 로고
    • Approximating a helix segment with a rational Bézier curve
    • Seemann, G., Approximating a helix segment with a rational Bézier curve, Computer Aided Geometric Design 14 (1997), 475-490.
    • (1997) Computer Aided Geometric Design , vol.14 , pp. 475-490
    • Seemann, G.1
  • 55
    • 0002648372 scopus 로고    scopus 로고
    • Artifical life for computer graphics
    • Terzopoulos, D., Artifical life for Computer Graphics, Communications of the ACM 42 (1999), 33-42.
    • (1999) Communications of the ACM , vol.42 , pp. 33-42
    • Terzopoulos, D.1
  • 56
    • 0019675643 scopus 로고
    • Distance transformations and skeletons of digitized pictures with applications
    • L. N. Kanal and A. Rosenfeld, eds., North Hollang
    • Toriwaki, J., Yokoi, S., Distance transformations and skeletons of digitized pictures with applications, Progress in Pattern Recognition, L. N. Kanal and A. Rosenfeld, eds., North Hollang, 1981, pp. 187-264.
    • (1981) Progress in Pattern Recognition , pp. 187-264
    • Toriwaki, J.1    Yokoi, S.2
  • 60
    • 0030210970 scopus 로고    scopus 로고
    • A variational level set approach to multiphase motion
    • Zhao, H. K., Chan, T., Merriman, B., Osher, S., A variational level set approach to multiphase motion, J. Comp. Physics 127 (1996), 179-195.
    • (1996) J. Comp. Physics , vol.127 , pp. 179-195
    • Zhao, H.K.1    Chan, T.2    Merriman, B.3    Osher, S.4
  • 61
    • 0034475253 scopus 로고    scopus 로고
    • Implicit, non-parametric shape reconstruction from unorganized data using variational level set method
    • Zhao, H. K., Osher, S., Merriman, B., Kang, M., Implicit, non-parametric shape reconstruction from unorganized data using variational level set method, Computer Vision and Image Understanding 80 (2000), 295-314.
    • (2000) Computer Vision and Image Understanding , vol.80 , pp. 295-314
    • Zhao, H.K.1    Osher, S.2    Merriman, B.3    Kang, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.