메뉴 건너뛰기




Volumn 21, Issue 4, 2002, Pages 855-873

Modelling with implicit surfaces that interpolate

Author keywords

Function interpolation; Implicit surfaces; Modeling; Thin plate techniques

Indexed keywords

FUNCTION INTERPOLATION; IMPLICIT SURFACES; MODELING; THIN-PLATE TECHNIQUES;

EID: 0012981723     PISSN: 07300301     EISSN: 07300301     Source Type: Conference Proceeding    
DOI: 10.1145/571647.571650     Document Type: Article
Times cited : (398)

References (33)
  • 1
  • 2
    • 74349114123 scopus 로고
    • A generalization of algebraic surface drawing
    • BLINN, J. F. 1982. A generalization of algebraic surface drawing. ACM Trans. Graph. 1, 3, 235-256.
    • (1982) ACM Trans. Graph. , vol.1 , Issue.3 , pp. 235-256
    • Blinn, J.F.1
  • 3
    • 0024104710 scopus 로고
    • Polygonization of implicit surfaces
    • BLOOMENTHAL, J. 1988. Polygonization of implicit surfaces. Computer-Aided Geometric Design 5, 4, 341-355.
    • (1988) Computer-aided Geometric Design , vol.5 , Issue.4 , pp. 341-355
    • Bloomenthal, J.1
  • 4
    • 0001287167 scopus 로고
    • An implicit surface polygonizer
    • P. S. Heckbert, Ed. Academic Press, Cambridge
    • BLOOMENTHAL, J. 1994. An implicit surface polygonizer. In Graphics Gems IV, P. S. Heckbert, Ed. Academic Press, Cambridge, 324-349.
    • (1994) Graphics Gems IV , pp. 324-349
    • Bloomenthal, J.1
  • 7
    • 84943598349 scopus 로고
    • Deformable curve and surface finite-elements for free-form shape design
    • July
    • CELNIKER, G. AND GOSSARD, D. 1991. Deformable curve and surface finite-elements for free-form shape design. Computer Graphics (SIGGRAPH 91) 25, 4 (July), 257-266.
    • (1991) Computer Graphics (SIGGRAPH 91) , vol.25 , Issue.4 , pp. 257-266
    • Celniker, G.1    Gossard, D.2
  • 8
    • 0001935440 scopus 로고
    • Spline minimizing rotation-invariant semi-norms in Sobolev spaces
    • W. Schempp and K. Zeller, Eds. Springer-Verlag, Berlin
    • DUCHON, J. 1977. Spline minimizing rotation-invariant semi-norms in Sobolev spaces. In Constructive Theory of Functions on Several Variables, Lecture Notes in Mathematics 571, W. Schempp and K. Zeller, Eds. Springer-Verlag, Berlin.
    • (1977) Constructive Theory of Functions on Several Variables, Lecture Notes in Mathematics , vol.571
    • Duchon, J.1
  • 9
    • 33645797135 scopus 로고
    • Interval arithmetic and recursive subdivision for implicit functions and constructive solid geometry
    • July
    • DUFF, T. 1992. Interval arithmetic and recursive subdivision for implicit functions and constructive solid geometry. Computer Graphics (SIGGRAPH 92) 26, 2 (July), 154-168.
    • (1992) Computer Graphics (SIGGRAPH 92) , vol.26 , Issue.2 , pp. 154-168
    • Duff, T.1
  • 10
    • 0002921040 scopus 로고
    • Interpolation of scattered data by radial basis functions
    • L. L. S. C. K. Chui and F. I. Utreras, Eds. Academic Press, Cambridge
    • DYN, N. 1987. Interpolation of scattered data by radial basis functions. In Topics in Multivariate Approximation, L. L. S. C. K. Chui and F. I. Utreras, Eds. Academic Press, Cambridge, 47-61.
    • (1987) Topics in Multivariate Approximation , pp. 47-61
    • Dyn, N.1
  • 11
    • 0004063539 scopus 로고
    • Priors, stabilizers and basis functions: From regularization to radial, tensor and additive splines
    • MIT Artificial Intelligence Laboratory. June. A.I. Memo No. 1430
    • GIROSI, F., JONES, M., AND POGGIO, T. 1993. Priors, stabilizers and basis functions: from regularization to radial, tensor and additive splines. Tech. rep., MIT Artificial Intelligence Laboratory. June. A.I. Memo No. 1430.
    • (1993) Tech. Rep.
    • Girosi, F.1    Jones, M.2    Poggio, T.3
  • 14
    • 0030384948 scopus 로고    scopus 로고
    • Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces
    • HART, J. 1997. Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces. The Visual Computer 12, 10, 527-545.
    • (1997) The Visual Computer , vol.12 , Issue.10 , pp. 527-545
    • Hart, J.1
  • 15
    • 60849121639 scopus 로고
    • Guarenteed ray intersection with implicit surfaces
    • KALRA, D. AND BARR, A. 1989. Guarenteed ray intersection with implicit surfaces. Computer Graphics (SIGGRAPH 89) 23, 4, 297-306.
    • (1989) Computer Graphics (SIGGRAPH 89) , vol.23 , Issue.4 , pp. 297-306
    • Kalra, D.1    Barr, A.2
  • 16
    • 12844260482 scopus 로고    scopus 로고
    • Tight fitting of convex polyhedral shapes
    • KEREN, D. AND GOTSMAN, C. 1998. Tight fitting of convex polyhedral shapes. Int. J. Shape Modeling, 111-126.
    • (1998) Int. J. Shape Modeling , pp. 111-126
    • Keren, D.1    Gotsman, C.2
  • 17
    • 0023381475 scopus 로고
    • Marching cubes: A high resolution 3-D surface construction algorithm
    • July
    • LORENSEN, W. AND CLINE, H. E. 1987. Marching cubes: A high resolution 3-D surface construction algorithm. Computer Graphics (SIGGRAPH 87) 21, 4 (July), 163-169.
    • (1987) Computer Graphics (SIGGRAPH 87) , vol.21 , Issue.4 , pp. 163-169
    • Lorensen, W.1    Cline, H.E.2
  • 18
    • 85027139763 scopus 로고
    • Volumetric shape description of range data using 'blobby model'
    • July
    • MIRAKI, S. 1991. Volumetric shape description of range data using 'blobby model'. Computer Graphics (SIGGRAPH 91) 25, 4 (July), 227-235.
    • (1991) Computer Graphics (SIGGRAPH 91) , vol.25 , Issue.4 , pp. 227-235
    • Miraki, S.1
  • 19
    • 84884792253 scopus 로고    scopus 로고
    • Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions
    • MORSE, B., YOO, T. S., RHEINGANS, P., CHEN, D. T., AND SUBRAMANIAN, K. 2001. Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions. Shape Modelling International, 89-98.
    • (2001) Shape Modelling International , pp. 89-98
    • Morse, B.1    Yoo, T.S.2    Rheingans, P.3    Chen, D.T.4    Subramanian, K.5
  • 23
    • 0020089631 scopus 로고
    • Ray casting as a method for solid modeling
    • ROTH, S. 1982. Ray casting as a method for solid modeling. Computer Graphics and Image Processing 18, 2, 109-144.
    • (1982) Computer Graphics and Image Processing , vol.18 , Issue.2 , pp. 109-144
    • Roth, S.1
  • 24
    • 84989552693 scopus 로고
    • Function representation of solids reconstructed from scattered surface points and contours
    • Oct.
    • SAVCHENKO, V. V., PASKO, A. A., OKUNEV, O. G., AND KUNNI, T. L. 1995. Function representation of solids reconstructed from scattered surface points and contours. Computer Graphics Forum 14, 4 (Oct.), 181-188.
    • (1995) Computer Graphics Forum , vol.14 , Issue.4 , pp. 181-188
    • Savchenko, V.V.1    Pasko, A.A.2    Okunev, O.G.3    Kunni, T.L.4
  • 25
    • 0026889111 scopus 로고
    • Interval analysis for computer graphics
    • July
    • SNYDER, J. 1992. Interval analysis for computer graphics. Computer Graphics (SIGGRAPH 92) 26, 2 (July), 121-130.
    • (1992) Computer Graphics (SIGGRAPH 92) , vol.26 , Issue.2 , pp. 121-130
    • Snyder, J.1
  • 27
    • 0025448712 scopus 로고
    • Fast surface interpolation using hierarchical basis functions
    • June
    • SZELISKI, R. 1990. Fast surface interpolation using hierarchical basis functions. IEEE Trans. Pattern Anal. Mach. Intell. 12, 6 (June), 513-528.
    • (1990) IEEE Trans. Pattern Anal. Mach. Intell. , vol.12 , Issue.6 , pp. 513-528
    • Szeliski, R.1
  • 28
    • 0027235136 scopus 로고
    • An improved algorithm for algebraic curve and surface fitting
    • IEEE, Berlin, Germany
    • TAUBIN, G. 1993. An improved algorithm for algebraic curve and surface fitting. In Fourth International Conference on Computer Vision (ICCV '93). IEEE, Berlin, Germany, 658-665.
    • (1993) Fourth International Conference on Computer Vision (ICCV '93) , pp. 658-665
    • Taubin, G.1
  • 29
    • 0024051722 scopus 로고
    • The computation of visible-surface representations
    • July
    • TERZOPOULOS, D. 1988. The computation of visible-surface representations. IEEE Trans. Pattern Anal. Mach. Intell. 10, 4 (July), 417-438.
    • (1988) IEEE Trans. Pattern Anal. Mach. Intell. , vol.10 , Issue.4 , pp. 417-438
    • Terzopoulos, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.