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Volumn , Issue , 2001, Pages 67-76

Reconstruction and representation of 3D objects with radial basis functions

Author keywords

geometry compression; mesh repair; point cloud surfacing; Radial Basis Function; RBF; solid modeling; surface reconstruction; variational implicit surfaces

Indexed keywords


EID: 84907008003     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/383259.383266     Document Type: Conference Paper
Times cited : (477)

References (25)
  • 2
    • 0033442485 scopus 로고    scopus 로고
    • Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
    • R. K. Beatson, J. B. Cherrie, and C. T. Mouat. Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Advances in Computational Mathematics, 11:253-270, 1999.
    • (1999) Advances in Computational Mathematics , vol.11 , pp. 253-270
    • Beatson, R.K.1    Cherrie, J.B.2    Mouat, C.T.3
  • 3
    • 0035541165 scopus 로고    scopus 로고
    • Fast evaluation of radial basis functions: Methods for four-dimensional polyharmonic splines
    • R. K. Beatson, J. B. Cherrie, and D. L. Ragozin. Fast evaluation of radial basis functions: Methods for four-dimensional polyharmonic splines. SIAM J. Math. Anal., 32(6):1272-1310, 2001.
    • (2001) SIAM J. Math. Anal. , vol.32 , Issue.6 , pp. 1272-1310
    • Beatson, R.K.1    Cherrie, J.B.2    Ragozin, D.L.3
  • 4
    • 0001922098 scopus 로고    scopus 로고
    • A short course on fast multipole methods
    • M. Ainsworth, J. Levesley, W.A. Light, and M. Marletta, editors, Oxford University Press
    • R. K. Beatson and L. Greengard. A short course on fast multipole methods. In M. Ainsworth, J. Levesley, W.A. Light, and M. Marletta, editors, Wavelets, Multilevel Methods and Elliptic PDEs, pages 1-37. Oxford University Press, 1997.
    • (1997) Wavelets, Multilevel Methods and Elliptic PDEs , pp. 1-37
    • Beatson, R.K.1    Greengard, L.2
  • 5
    • 0031488175 scopus 로고    scopus 로고
    • Fast evaluation of radial basis functions: Methods for two-dimensional polyharmonic splines
    • R. K. Beatson and W. A. Light. Fast evaluation of radial basis functions: Methods for two-dimensional polyharmonic splines. IMA Journal of Numerical Analysis, 17:343-372, 1997.
    • (1997) IMA Journal of Numerical Analysis , vol.17 , pp. 343-372
    • Beatson, R.K.1    Light, W.A.2
  • 6
    • 0034775741 scopus 로고    scopus 로고
    • Fast solution of the radial basis function interpolation equations: Domain decomposition methods
    • R. K. Beatson, W. A. Light, and S. Billings. Fast solution of the radial basis function interpolation equations: Domain decomposition methods. SIAM J. Sci. Comput., 22(5):1717-1740, 2000.
    • (2000) SIAM J. Sci. Comput. , vol.22 , Issue.5 , pp. 1717-1740
    • Beatson, R.K.1    Light, W.A.2    Billings, S.3
  • 10
    • 0031060810 scopus 로고    scopus 로고
    • Surface interpolation with radial basis functions for medical imaging
    • February
    • J. C. Carr, W. R. Fright, and R. K. Beatson. Surface interpolation with radial basis functions for medical imaging. IEEE Trans. Medical Imaging, 16(1):96-107, February 1997.
    • (1997) IEEE Trans. Medical Imaging , vol.16 , Issue.1 , pp. 96-107
    • Carr, J.C.1    Fright, W.R.2    Beatson, R.K.3
  • 12
    • 0001935440 scopus 로고
    • Splines minimizing rotation-invariant semi-norms in Sobolev spaces
    • W. Schempp and K. Zeller, editors, Constructive Theory of Functions of Several Variables, Berlin, Springer-Verlag
    • J. Duchon. Splines minimizing rotation-invariant semi-norms in Sobolev spaces. In W. Schempp and K. Zeller, editors, Constructive Theory of Functions of Several Variables, number 571 in Lecture Notes in Mathematics, pages 85-100, Berlin, 1977. Springer-Verlag.
    • (1977) Lecture Notes in Mathematics , vol.571 , pp. 85-100
    • Duchon, J.1
  • 13
    • 0001070566 scopus 로고
    • Numerical procedures for surface fitting of scattered data by radial functions
    • N. Dyn, D. Levin, and S. Rippa. Numerical procedures for surface fitting of scattered data by radial functions. SIAM J. Sci. Stat. Comput., 7(2):639-659, 1986.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , Issue.2 , pp. 639-659
    • Dyn, N.1    Levin, D.2    Rippa, S.3
  • 14
    • 0026614102 scopus 로고
    • An adaptive method for image registration
    • J. Flusser. An adaptive method for image registration. Pattern Recognition, 25(1):45-54, 1992.
    • (1992) Pattern Recognition , vol.25 , Issue.1 , pp. 45-54
    • Flusser, J.1
  • 15
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • L. Greengard and V. Rokhlin. A fast algorithm for particle simulations. J. Comput. Phys, 73:325-348, 1987.
    • (1987) J. Comput. Phys , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 17
    • 0023381475 scopus 로고
    • Marching cubes: A high resolution 3D surface construction algorithm
    • July
    • W. E. Lorensen and H. E. Cline. Marching cubes: A high resolution 3D surface construction algorithm. Computer Graphics, 21(4):163-169, July 1987.
    • (1987) Computer Graphics , vol.21 , Issue.4 , pp. 163-169
    • Lorensen, W.E.1    Cline, H.E.2
  • 18
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C. A. Micchelli. Interpolation of scattered data: Distance matrices and conditionally positive definite functions. Constr. Approx., 2:11-22, 1986.
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 19
    • 84989552693 scopus 로고
    • Function representation of solids reconstructed from scattered surface points and contours
    • V. V. Savchenko, A. A. Pasko, O. G. Okunev, and T. L. Kunii. Function representation of solids reconstructed from scattered surface points and contours. Computer Graphics Forum, 14(4):181-188, 1995.
    • (1995) Computer Graphics Forum , vol.14 , Issue.4 , pp. 181-188
    • Savchenko, V.V.1    Pasko, A.A.2    Okunev, O.G.3    Kunii, T.L.4
  • 20
    • 0000170990 scopus 로고
    • Computation of thin-plate splines
    • R. Sibson and G. Stone. Computation of thin-plate splines. SIAM J. Sci. Stat. Comput., 12(6):1304-1313, 1991.
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , Issue.6 , pp. 1304-1313
    • Sibson, R.1    Stone, G.2
  • 21
    • 0033311724 scopus 로고    scopus 로고
    • Regularized marching tetrahedra: Improved iso-surface extraction
    • DOI 10.1016/S0097-8493(99)00076-X
    • G. M. Treece, R.W. Prager, and A. H. Gee. Regularised marching tetrahedra: improved iso-surface extraction. Computers and Graphics, 23(4):583-598, 1999. (Pubitemid 30506229)
    • (1999) Computers and Graphics (Pergamon) , vol.23 , Issue.4 , pp. 583-598
    • Treece, G.M.1    Prager, R.W.2    Gee, A.H.3
  • 22
    • 84979981857 scopus 로고    scopus 로고
    • Shape transformation using variational implicit surfaces
    • Aug
    • G. Turk and J. F. O'Brien. Shape transformation using variational implicit surfaces. In SIGGRAPH'99, pages 335-342, Aug 1999.
    • (1999) SIGGRAPH'99 , pp. 335-342
    • Turk, G.1    O'Brien, J.F.2
  • 23
    • 0004252730 scopus 로고    scopus 로고
    • Technical Report GIT-GVU- 99-15, Georgia Institute of Technology, May
    • G. Turk and J. F. O'Brien. Variational implicit surfaces. Technical Report GIT-GVU- 99-15, Georgia Institute of Technology, May 1999.
    • (1999) Variational Implicit Surfaces
    • Turk, G.1    O'Brien, J.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.