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Volumn 37, Issue 5, 2000, Pages 1677-1708

A method for analysis of C1-continuity of subdivision surfaces

Author keywords

Arbitrary meshes; Interval arithmetics; Stationary subdivision; Subdivision surfaces

Indexed keywords


EID: 0000931011     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614299834263X     Document Type: Article
Times cited : (69)

References (24)
  • 1
    • 0023999814 scopus 로고
    • Conditions for tangent plane continuity over recursively generated B-spline surfaces
    • A. A. BALL AND D. J. T. STORRY, Conditions for tangent plane continuity over recursively generated B-spline surfaces, ACM Trans. Graphics, 7 (1988), pp. 83-102.
    • (1988) ACM Trans. Graphics , vol.7 , pp. 83-102
    • Ball, A.A.1    Storry, D.J.T.2
  • 3
    • 85037504915 scopus 로고    scopus 로고
    • Matrix Subdivision Schemes
    • Université Pierre et Marie Curie, Paris, France
    • A. COHEN, N. DYN, AND D. LEVIN, Matrix Subdivision Schemes, Tech. Report, Université Pierre et Marie Curie, Paris, France, 1997.
    • (1997) Tech. Report
    • Cohen, A.1    Dyn, N.2    Levin, D.3
  • 4
    • 0018040207 scopus 로고
    • Analysis of the behaviour of recursive division surfaces near extraordinary points
    • D. DOO AND M. SABIN, Analysis of the behaviour of recursive division surfaces near extraordinary points, Comput. Aided Design, 10 (1978), pp. 356-360.
    • (1978) Comput. Aided Design , vol.10 , pp. 356-360
    • Doo, D.1    Sabin, M.2
  • 5
    • 0023597654 scopus 로고
    • A four-point interpolatory subdivision scheme for curve design
    • N. DYN, J. A. GREGORY, AND D. LEVIN, A four-point interpolatory subdivision scheme for curve design, Comput. Aided Geom. Design, 4 (1987), pp. 257-268.
    • (1987) Comput. Aided Geom. Design , vol.4 , pp. 257-268
    • Dyn, N.1    Gregory, J.A.2    Levin, D.3
  • 6
    • 84976724020 scopus 로고
    • A butterfly subdivision scheme for surface interpolation with tension control
    • N. DYN, D. LEVIN, AND J. A. GREGORY, A butterfly subdivision scheme for surface interpolation with tension control, ACM Trans. on Graphics, 9 (1990), pp. 160-169.
    • (1990) ACM Trans. on Graphics , vol.9 , pp. 160-169
    • Dyn, N.1    Levin, D.2    Gregory, J.A.3
  • 7
    • 0025438521 scopus 로고
    • Using parameters to increase smoothness of curves and surfaces generated by subdivision
    • N. DYN, D. LEVIN, AND C. A. MICCHELLI, Using parameters to increase smoothness of curves and surfaces generated by subdivision, Comput. Aided Geom. Design, 7 (1990), pp. 129-140.
    • (1990) Comput. Aided Geom. Design , vol.7 , pp. 129-140
    • Dyn, N.1    Levin, D.2    Micchelli, C.A.3
  • 8
    • 0031524936 scopus 로고    scopus 로고
    • A geometric approarturbation theory of matrices and matrix pencils. Part I: Versal deformation
    • A. EDELMAN, E. ELMROTH, AND B. KÅGSTRÖM, A geometric approarturbation theory of matrices and matrix pencils. Part I: Versal deformation, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 653-692.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 653-692
    • Edelman, A.1    Elmroth, E.2    Kågström, B.3
  • 12
    • 0030247362 scopus 로고    scopus 로고
    • Interpolatory subdivision on open quadrilateral nets with arbitrary topology
    • L. KOBBELT, Interpolatory subdivision on open quadrilateral nets with arbitrary topology, Computer Graphics Forum, 15 (1996), pp. 409-420.
    • (1996) Computer Graphics Forum , vol.15 , pp. 409-420
    • Kobbelt, L.1
  • 14
    • 0003236553 scopus 로고
    • Methods and Applications of Interval Analysis
    • SIAM, Philadelphia, PA
    • R. E. MOORE, Methods and Applications of Interval Analysis, SIAM Stud. Appl. Math. 2, SIAM, Philadelphia, PA, 1979.
    • (1979) SIAM Stud. Appl. Math. , vol.2
    • Moore, R.E.1
  • 15
    • 0347594463 scopus 로고    scopus 로고
    • Analysis of algorithms generalizing B-spline subdivision algorithms
    • J. PETERS AND U. REIF, Analysis of algorithms generalizing B-spline subdivision algorithms, SIAM J. Numer. Anal., 35 (1998), pp. 728-748.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 728-748
    • Peters, J.1    Reif, U.2
  • 16
    • 0031245869 scopus 로고    scopus 로고
    • The simplest subdivision scheme for smoothing polyhedra
    • J. PETERS AND U. REIF, The simplest subdivision scheme for smoothing polyhedra, ACM Trans. Graphics, 16 (1997), pp. 420-431.
    • (1997) ACM Trans. Graphics , vol.16 , pp. 420-431
    • Peters, J.1    Reif, U.2
  • 17
    • 51249170195 scopus 로고
    • A counterexample to the strong real Jacobian conjecture
    • S. PINCHUK, A counterexample to the strong real Jacobian conjecture, Math. Z., 217 (1994), pp. 1-4.
    • (1994) Math. Z. , vol.217 , pp. 1-4
    • Pinchuk, S.1
  • 18
    • 0029271013 scopus 로고
    • A unified approach to subdivision algorithms near extraordinary points
    • U. REIF, A unified approach to subdivision algorithms near extraordinary points, Comput. Aided Geom. Design, 12 (1995), pp. 153-174.
    • (1995) Comput. Aided Geom. Design , vol.12 , pp. 153-174
    • Reif, U.1
  • 21
    • 0041327208 scopus 로고    scopus 로고
    • 1-Continuity of Subdivision Surfaces
    • Stanford University, Palo Alto, CA
    • 1-Continuity of Subdivision Surfaces, Tech. report CSL-TR-98-764, Stanford University, Palo Alto, CA, 1998.
    • (1998) Tech. Report CSL-TR-98-764
    • Zorin, D.1
  • 22
    • 85037503564 scopus 로고    scopus 로고
    • Smoothness of subdivision on irregular meshes
    • accepted for publication
    • D. ZORIN, Smoothness of subdivision on irregular meshes, Constr. Approx., accepted for publication.
    • Constr. Approx.
    • Zorin, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.