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Volumn , Issue , 2004, Pages 71-82

Spline approximation of general volumetric data

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; AUTOMATION; COMPUTER AIDED DESIGN; DATA REDUCTION; THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 21644431748     PISSN: 18117783     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (10)

References (46)
  • 1
    • 0009762292 scopus 로고
    • 1 Clough-Tocher interpolating scheme
    • 1 Clough-Tocher interpolating scheme. CAGD, 1:169-181, 1984.
    • (1984) CAGD , vol.1 , pp. 169-181
    • Alfeld, P.1
  • 2
    • 21644466620 scopus 로고
    • Scattered data fitting in two and three variables
    • Academic Press
    • P. Alfeld. Scattered data fitting in two and three variables. In Curves and Surfaces: Olso 1989. Academic Press, 1990.
    • (1990) Curves and Surfaces: Olso 1989
    • Alfeld, P.1
  • 3
    • 0002653115 scopus 로고
    • B-form basics
    • G. Farm, editor, SIAM
    • C. de Boor. B-form basics. In G. Farm, editor, Geometric Modelling, pages 131-148. SIAM, 1987.
    • (1987) Geometric Modelling , pp. 131-148
    • De Boor, C.1
  • 4
    • 85095815155 scopus 로고    scopus 로고
    • Radial basis functions
    • M. D. Buhmann. Radial Basis Functions. Acta Numerica, pages 1-38, 2000.
    • (2000) Acta Numerica , pp. 1-38
    • Buhmann, M.D.1
  • 8
    • 3042713391 scopus 로고    scopus 로고
    • On the approximation power of local least squares polynomials
    • J. Levesley, I.J. Anderson, and J.C. Mason, editors
    • O. Davydov. On the approximation power of local least squares polynomials. In J. Levesley, I.J. Anderson, and J.C. Mason, editors, Algorithms for Approximation IV, pages 346-353, 2002.
    • (2002) Algorithms for Approximation IV , pp. 346-353
    • Davydov, O.1
  • 10
    • 3042793131 scopus 로고    scopus 로고
    • Scattered data fitting by direct extension of local polynomials with bivariate splines
    • to appear
    • O. Davydov and F. Zeilfelder. Scattered data fitting by direct extension of local polynomials with bivariate splines. Adv. Comp. Math. (to appear), 2004.
    • (2004) Adv. Comp. Math.
    • Davydov, O.1    Zeilfelder, F.2
  • 12
    • 46149129389 scopus 로고
    • Triangular Bernstein-Bézier patches
    • G. Farin. Triangular Bernstein-Bézier patches. CAGD, 3(2):83-127, 1986.
    • (1986) CAGD , vol.3 , Issue.2 , pp. 83-127
    • Farin, G.1
  • 13
    • 0022806329 scopus 로고
    • Scattered data interpolation and approximation with error bounds
    • A.T. Foley. Scattered Data Interpolation and Approximation with Error Bounds. CAGD, 3:163-177, 1986.
    • (1986) CAGD , vol.3 , pp. 163-177
    • Foley, A.T.1
  • 14
    • 0033098804 scopus 로고    scopus 로고
    • Least squares surface approximation using multiquadrics and parameter domain distortion
    • R. Franke and H. Hagen. Least Squares Surface Approximation using Multiquadrics and Parameter Domain Distortion. CAGD, 16(3):177-196, 1999.
    • (1999) CAGD , vol.16 , Issue.3 , pp. 177-196
    • Franke, R.1    Hagen, H.2
  • 17
    • 0006141469 scopus 로고    scopus 로고
    • Progressive volume models for rectilinear data using tetrahedral Coons volumes
    • Springer
    • D.J. Holliday and G.M. Nielson. Progressive volume models for rectilinear data using tetrahedral Coons volumes. In Data Visualization 2000, pages 83-92. Springer, 2000.
    • (2000) Data Visualization 2000 , pp. 83-92
    • Holliday, D.J.1    Nielson, G.M.2
  • 22
    • 0002668473 scopus 로고    scopus 로고
    • Scattered data techniques for surfaces
    • H. Hagen, G. Nielson, and F. Post, editors
    • S. K. Lodha and R. Franke. Scattered Data Techniques for Surfaces. In H. Hagen, G. Nielson, and F. Post, editors, Proc. Dagstuhl Conf. Scientific Visualization, pages 182-222, 1999.
    • (1999) Proc. Dagstuhl Conf. Scientific Visualization , pp. 182-222
    • Lodha, S.K.1    Franke, R.2
  • 23
    • 84971372881 scopus 로고
    • Marching cubes: A high resolution 3D surface construction algorithm
    • W.E. Lorensen and H.E. Cline. Marching cubes: A high resolution 3D surface construction algorithm. SIGGRAPH'87, 21(5):79-86, 1987.
    • (1987) SIGGRAPH'87 , vol.21 , Issue.5 , pp. 79-86
    • Lorensen, W.E.1    Cline, H.E.2
  • 24
    • 0034818015 scopus 로고    scopus 로고
    • Representation and extraction of volumetric attributes using trivariate splines: A mathematical framework
    • W. Martin and E. Cohen. Representation and extraction of volumetric attributes using trivariate splines: a mathematical framework. In Solid Modelling and Applications 2001, pages 234-240, 2001.
    • (2001) Solid Modelling and Applications 2001 , pp. 234-240
    • Martin, W.1    Cohen, E.2
  • 31
    • 0034273980 scopus 로고    scopus 로고
    • Developments in bivariate spline interpolation
    • G. Nürnberger and F. Zeilfelder. Developments in bivariate spline interpolation. J. Comput. Appl. Math., 121:125-152, 2000.
    • (2000) J. Comput. Appl. Math. , vol.121 , pp. 125-152
    • Nürnberger, G.1    Zeilfelder, F.2
  • 34
    • 0031177107 scopus 로고    scopus 로고
    • High-dimensional trivariate NURBS representation for analyzing and visualizing fluid flow data
    • S. Park and K. Lee. High-dimensional trivariate NURBS representation for analyzing and visualizing fluid flow data. Computers & Graphics, 21(4):473-482, 1997.
    • (1997) Computers & Graphics , vol.21 , Issue.4 , pp. 473-482
    • Park, S.1    Lee, K.2
  • 35
    • 21644463396 scopus 로고
    • Fitting triangular B-splines to functional scattered data
    • R. Pfeifle and H.-P. Seidel. Fitting triangular B-splines to functional scattered data. Eurographics 1995, 14(3): 15-23, 1995.
    • (1995) Eurographics 1995 , vol.14 , Issue.3 , pp. 15-23
    • Pfeifle, R.1    Seidel, H.-P.2
  • 36
    • 21644433756 scopus 로고    scopus 로고
    • Scattered data approximation with triangular B-splines
    • R. Pfeifle and H.-P. Seidel. Scattered data approximation with triangular B-splines. Advance Course on Fairshape, pages 253-263, 1996.
    • (1996) Advance Course on Fairshape , pp. 253-263
    • Pfeifle, R.1    Seidel, H.-P.2
  • 39
    • 0348057941 scopus 로고    scopus 로고
    • Remarks on meshless local construction of surfaces
    • Springer
    • R. Schaback. Remarks on meshless local construction of surfaces. In The Mathematics of Surfaces IV, pages 34-58. Springer, 2000.
    • (2000) The Mathematics of Surfaces IV , pp. 34-58
    • Schaback, R.1
  • 40
    • 0003085949 scopus 로고
    • Fitting surfaces to scattered data
    • L.L. Schumaker. Fitting surfaces to scattered data. Approximation Theory II, pages 203-268, 1976.
    • (1976) Approximation Theory II , pp. 203-268
    • Schumaker, L.L.1
  • 41
    • 0242617953 scopus 로고    scopus 로고
    • Quintic spline interpolation on type-4 tetrahedral partitions
    • preprint
    • L.L. Schumaker and T. Sorokina. Quintic spline interpolation on type-4 tetrahedral partitions. Adv. Comput. Math. (preprint), 2004.
    • (2004) Adv. Comput. Math.
    • Schumaker, L.L.1    Sorokina, T.2
  • 43
    • 18444380018 scopus 로고    scopus 로고
    • Amira - An object oriented system for visual data analysis
    • C.R. Johnson and C.D. Hansen, editors, Academic Press (preprint)
    • D. Stalling, M. Westerhoff, and H.-C. Hege. Amira - an Object Oriented System for Visual Data Analysis. In C.R. Johnson and C.D. Hansen, editors, Visualization Handbook. Academic Press (preprint), 2003.
    • (2003) Visualization Handbook
    • Stalling, D.1    Westerhoff, M.2    Hege, H.-C.3
  • 44
    • 0012981723 scopus 로고    scopus 로고
    • Modeling with implicit surfaces that interpolate
    • G. Turk and J. O'Brien. Modeling with implicit surfaces that interpolate. ACM Transactions on Graphics, 21(4):855-873, 2002.
    • (2002) ACM Transactions on Graphics , vol.21 , Issue.4 , pp. 855-873
    • Turk, G.1    O'Brien, J.2
  • 45
    • 0006124344 scopus 로고
    • An n-dimensional clough-tocher interpolant
    • A. Worsey and G. Farm. An n-dimensional clough-tocher interpolant. Const. Approx. 3, (2):99-110, 1987.
    • (1987) Const. Approx. , vol.3 , Issue.2 , pp. 99-110
    • Worsey, A.1    Farm, G.2
  • 46
    • 3042659219 scopus 로고    scopus 로고
    • Scattered data fitting with bivariate splines
    • E. Quak A. Iske, M. Floater, editor, Springer
    • F. Zeilfelder. Scattered data fitting with bivariate splines. In E. Quak A. Iske, M. Floater, editor, Tutorials on Multiresolution and Geometric Modelling, pages 243-286. Springer, 2002.
    • (2002) Tutorials on Multiresolution and Geometric Modelling , pp. 243-286
    • Zeilfelder, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.