References

I am adding NEW references.. marked with a (**).

These are the references from my St. Malo talk. I have marked references not in Malr98
with a (*).

  1. ACISM98
    ACIS^{(r)
    Test Harness User's Guide
  2. Ball89
    A. A. Ball and D. J. T. Storry
    Design of an n-sided surface patch from Hermite boundary data. Computer Aided Geometric Design � Vol 6 � 1989 � 111--120(*)
  3. Bang99
    C. Bangert and H. Prautzsch
    Quadric splines Computer Aided Geometric Design � Vol 16 � 1999 � 497--515 (*)
  4. Cavar89
    A. S. Cavaretta, and C. A. Michelli
    The Design of Curves and Surfaces by Subdivison Algorithms in Mathematical Methods in CAGD
    Academic Press � 1989 � 115--193
  5. Charr84
    P. Charrot and J. A. Gregory
    A pentagonal surface patch for computer aided geometric design Computer Aided Geometric Design � Vol 1 � 1984 �87--94
  6. Charr96
    D. Plowman and P. Charrot
    A Practical Implementation of Vertex Blend Surfaces using an n-Sided Patch in Mathematics of Surfaces VI
    Clarendon, 1996 � 67--78
  7. Chui 00
    C.K. Chui and M.-J Lai
    Filling polygonal holes using C1 cubic triangular splines, CAGD V17, 297--208 (**)
  8. Daehlen89
    M. Daehlen and V. Skytt
    Modelling Non-rectangular surfaces using Box Splines in Mathematics of Surfaces III
    Clarendon � 1989 � 287--300
  9. Dahmen89
    W. Dahmen
    Smooth Piecewise quadric surfaces in Mathematical Methods in CAGD
    Academic Press �1989 � 181--194
  10. Dyn95
    N. Dyn, J. A. Gregory and D. Levin
    Piecewise Uniform Subidivision Schemes in Mathematical Methods for Curves and Surfaces
    Vanderbilt University � 1995 � 111--119
  11. Dyn96
    N. Dyn
    The Work of John Gregory: Rational Spline Inteprolation, Subdivision Algorithms, and C^{2
    Polygonal Patches in Mathematics of Surfaces VI
    Clarendon, 1996 � 21--42
  12. Fergus93
    H. Ferguson and A. Rockwood
    Multiperiperidic Functions for suface design Computer Aided Geometric Design � Vol 10 � 1993 � 315--328
  13. Gerot00
    C. G\'{e
    rot, D. Attali, A. Montanvert
    From Local Approximaiton to a G1 Global Representation Proceedings of Curves and Surface IV -St. Malo - 1999
    (*)
  14. Greg86
    J. A. Gregory
    n-sided surface patches in Mathematics of Surfaces
    Clarendon � 1986 � 217--232
  15. Grego89
    J. A. Gregory and J. M. Hahn
    A C2 polygonal surface patch Computer Aided Geometric Design � Vol 6 � 1989 � 69--75
  16. Greg92
    J. A. Gregory and P. K. Yuen
    An arbitrary mesh network scheme using rational splines in Mathematical methods in CAGD II
    Academic Press � 1992 � 321--329
  17. Grego90
    J. A. Gregory, V. K. H. Lau and J. Zhou
    Smooth Parametric Surfaces and n-sided Patches in Computation of Curves and Surfaces
    Kluwer � 1990 � 457--498
  18. Grego99
    J. A. Gregory, J. Zhou
    Irregular C2 surface con- struction using bi-polynomial rectangular patches Computer Aided Geometric Design � Vol 16 � 1999 � 423--435 (*)
  19. Hall99a
    R. Hall and G. Mullineux
    The Zheng-Ball construction without twist constraints Computer Aided Geometric Design � Vol 16 � 1999 �165--175 (*)
  20. Hall99b
    R. Hall and G. Mullineux
    Continuity between Gregory-like patches Computer Aided Geometric Design � Vol 16 � 1999 �197-216 (*)
  21. Hall97
    R. Hall and G. Mullineux
    Shape Modification of Gregory patches in Mathematics of Surfaces VII
    Information Geometers � 1997 � 383--408
  22. Herma89
    T. Hermann and G. Renner
    Subdivision of n-sided regions into four--sided patches in Mathematics of Surfaces III
    Clarendon � 1989 � 347--357
  23. Herma95
    T. Hermann
    G2 interpolation of free--form curve networks by biquintic Gregory patches Computer Aided Geometric Design � Vol 13 � 1995 �873--893
  24. Hosa84
    M. Hosaka and F. Kimura
    Non-four--sided patch expressions with control points Computer Aided Geometric Design � Vol 1 � 1984 � 75--86
  25. Hsu98
    K. L. Hsu and D. M. Tsay
    Corner Blending of Free Form n-sided Holes IEEE CG and A Vol 18
    � 72--78
  26. Karci97
    K. Karciauskas
    On n-sided Rational Surface Patches preprint
  27. Karci98
    K. Karciauskas,
    Rational m-sided surface patches, in Mathematics of Surfaces VIII
    Information Geometers, Winchester, 1998, 355--368 (*)
  28. Karci99
    K. Karciauskas
    Algebraic version of convex combination patches in Proceedings of a Conference of the Lithuanian Mathematical Society
    �1999 (*)
  29. Karci00
    K. Karciauskas and Krasauskas, R.
    Comparison of Different Multi-sides Surface Patches using Algebraic Geometry Proceedings of Curves and Surface IV -St. Malo - 1999
    (*)
  30. KKato91
    K. Kato
    Generation of n-sided surface patches with holes �`Computer Aided Design Vol 23 No 10 � 1991 � 676--683
  31. KKato00
    K. Kato
    N-Sided Surface Generation from Arbitrary Boundary Edges Proceedings of Curves and Surface IV -St. Malo - 1999
    (*) � 676--683
  32. CLoop87
    C. Loop and T. DeRose
    A Multi--sided generalization of Bezier Surfaces
    ACM TOG Vol8 no. 3 1989 � 204--234<**>
  33. ALevin99
    Adi Levin
    Combined subdivision schemes for the design of surfaces satisfying boundary conditions Computer Aided Geometric Design Vol 16 � 1999 (*) � 345--354
  34. ALevin00
    Adi Levin
    Filling N-sided holes by combined subdivision schemes Proceedings of Curves and Surface IV -St. Malo - 1999
    (*)
  35. Lodha93
    S. K. Lodha
    Filling N-sided holes, in Modeling in Computer Graphics: Methods and Applications
    Springer Verlag, 1993,�� 319--346 (*)
  36. CLoop90
    C. Loop and T. D. DeRose
    Generalized B--spline Surfaces of Arbitrary Topological Type SIGGRAPH 1990
  37. CLoop92
    C. Loop
    Generalized B--spline Surfaces of Arbitrary Topological Type Ph.D. Thesis, University of Washington, 1992
  38. CLoop94a
    C. Loop
    Smooth Spline Surfaces over Irregular Meshes SIGGRAPH Proceedings,1994
    � 303--310
  39. CLoop94b
    C. Loop
    A G1 triangular spline surface of arbitrary topological type Computer Aided Geometric Design � Vol 11 � 1994 � 303--330
  40. Malr98
    P. Malraison
    A Bibliography for n-sided surfaces, in {\sl Mathematics of Surfaces VIII
    Information Geometers, Winchester, 1998, 419--430 (*)
  41. Nasri87
    A. Nasri
    Polyhedral Subdivision Methods For Free--Form Surfaces ACM Transactions on Graphics, Vol 1 � 1987 � 29--73
  42. Nasri91a
    A. Nasri
    Boundary Corner control of Re- cursive Subdivision Surfaces �`Computer Aided Design Vol 23 � 1991 � 405--411
  43. Nasri91b
    A. Nasri
    Interpolation On Irregular Networks With Normal Conditions Computer Aided Geometric Design � Vol8 � 1991 �89--96
  44. Nasri97a
    A. Nasri
    Curve interpolation in recursively generated b--spline surfaces over arbitrary topology Computer Aided Geometric Design � Vol 14 � 1997 � 13--30
  45. Nasri97b
    A. Nasri
    Interpolation of Open Curves by Recursive Subivision Surfaces in The Mathematics of Surfaces VII
    Information Geometers 1997, � 173--188
  46. Nasri00
    A. Nasri
    Recursive Subdivision of Polygonal Complexes and Their applications in CAGD
    Computer Aided Geometric Design ,Vol 17 No 7. pp 595-620(**)
  47. Navau00
    J. C. Navau and N. P. Garcia
    Modeling surfaces from meshes of arbitrary topology
    Computer Aided Geometric Design , Vol 17 No. 7, pp 643-672(**)
  48. Peters92
    J. Peters
    Joining smooth patches at a vertex to form a Ck surface Computer Aided Geometric Design � Vol 9 � 1992 � 387--411
  49. Peters93
    J. Peters
    Smooth free--form surfaces over irregular meshes generalizing quadratic splines Computer Aided Geometric Design � Vol 10 � 1993 � 347--361
  50. Peters94
    J. Peters
    Constructing C1 Surfaces of Arbitrary Topology Using Biquadratic and Bicubic Splines in Desiging Fair Curves and Surfaces
    SIAM 1994 � 277--294
  51. Peters95
    J. Peters
    Biquartic {C
    1 spline surfaces over irregular meshes Computer Aided Design Vol 27 1995 �895--903.
  52. Peters96a
    J. Peters
    Spline surfaces from irregular control meshes Zeitschrift f\"{u
    r Angewandte Mathematik und Mechanik Vol 11 1996
    � 69--72
  53. Peters96b
    J. Peters
    Curvature continuous spline surfaces over irregular meshes Computer Aided Geometric Design � Vol 13 1996 � 101--131
  54. Peters00
    J. Peters
    Mesh and Surface Hierarchies Proceedings of Curves and Surface IV -St. Malo - 1999
    (*)
  55. Renne91
    G. Renner
    Polynomial n-sided patches in Curves and Surfaces
    Academic Press 1991 � 407--410
  56. Sabin83
    M. Sabin
    Non-Rectangular Surface patches suitable for inclusion in a B--spline Surface in Proceedings Eurographics83
    North Holland 1983 � 57--70
  57. Sabin94
    M. Sabin
    A Symmetric Domain for a 6--sided patch in Mathematics of Surfaces IV
    Clarendon 1994 � 185--194
  58. Sabin96
    M. Sabin
    Transfinite Surface Interpolation in Mathematics of Surfaces VI
    Clarendon 1996 � 517--534
  59. Sabin98
    M. Sabin
    Two--sided Patches Suitable for Inclusion in a B--Spline Surface in Mathematical Methods for Curves and Surfaces II: Lillehammer
    Vanderbilt University 1998 � 409--416
  60. Seder98
    T. W. Sederberg,J. Zheng, D. Sewell, M. Sabin
    Non-Uniform Recursive Subdivision Surfaces SIGGRAPH98
  61. Sone99
    J. Sone, K. Konno, H. Chiyokura
    Surface Interpolation Using NURBS Boundary Gregory Patch for Non-four-sided Area The Journal of the Information Processing Society of Japan. Vol. 40 No. 2 February 1999 �710--718(*) in japanese
  62. Sone00
    J. Sone, K. Konno, H. Chiyokura
    Surface Interpolation of Non-four-sided and Concave Area by NURBS Boundary Gregory Patch Proceedings of Curves and Surface IV -St. Malo - 1999
    (*)
  63. Varad98
    T. Varady and C. M. Hoffmann
    Vertex Blending: Problems and Solutions in Mathematical Methods for Curves and Surfaces II:Lillehammer
    Vanderbilt University 1998 � 501--527
  64. Varad97
    T. Varady and A. P. Rockwood
    Geometric Construction for Setback Vertex Blends Computer Aided Design Vol 29 1997 � 413--425
  65. Varad96
    T. Varady and T. Hermann
    Best Fit Surface Curvature at Vertices of Topologically Irregular Curve Networks in Mathematics of Surfaces VI
    Clarendon 1996 � 411--428
  66. Varad95
    T. Varady and A. P. Rockwood
    Vertex Blending Based on the Setback Split in Mathematical Methods for Curves and Surfaces
    Vanderbilt University 1995 � 527--542
  67. Varad89
    T. Varady
    Overlap patches: a new scheme for interpolating curve networks with n-sided regions Computer Aided Geometric Design � Vol 8 1989 � 7--27
  68. Varad87
    T. Varady
    Survey and New Results in n-sided Patch Generation in Mathematcs of Surfaces II
    Oxford 1987 � 203--236
  69. Vida94
    J. Vida,R. R. Martin and T. Varady
    A survey of blending methods that us parametric surfaces Computer Aided Design Vol 26, no. 5 1994. � 341--365 (*)
  70. Wall97
    J. Wallner and H. Pottmann
    Spline Orbifolds in Curves and Surfaces with Applications in CAGD
    Vanderbilt University 1997 � 445--464
  71. Wang99
    X. Wang, F. Cheng and B. A. Barsky
    Blending, Smoothing, and Interpolation of Irregular Mesh Using n-Sided Varady Surfaces ACM Solid Modeling -Proc.
    1999 212--222 (**)
  72. Wang98
    X. Wang, F. Cheng and B. A. Barsky
    Blending, Smoothing, and Interpolation of Irregular Mesh Using n-Sided Varady Surfaces preprint
    1997
  73. Wang97
    X. Wang and F. Cheng
    Smooth Surface Interpolation of Irregular Meshes in {Proc. 1997 International Conference on Manufacturing Automation (ICMA '97)
    Hong Kong 1997 � 1213--1218.
  74. Warre92
    J. Warren
    Creating Multisided rational Bezier surfaces using base points ACM Transactions on Graphics, Vol. 11(2) 1992
    � 127--139
  75. Warre94
    J. Warren
    Multi--sided Rational Surface Patches with Independent Boundary Control in Design and Application of Curves and Surfaces: Mathematics of Surfaces V
    Oxford Univ. 1994 � 281--294
  76. YZhao94
    Y. Zhao and A. Rockwood
    A Convolution Approach to n-Sided Patches and Vertex Blending in Designing Fair Curves and Surfaces
    SIAM 1994 � 295--314
  77. Zheng97
    J. J. Zheng and A. A. Ball
    Control point surfaces over non-four--sided areas Computer Aided Geometric Design � Vol 14 1997 �808--821
  78. Zheng97
    J. J. Zheng and A. A. Ball
    Degree elevation for n-sided surfaces, Computer Aided Geometric Design Vol 18 2001 135-147 (**)
  79. Zheng97
    J. J. Zheng
    THe n-sided control point surfaces without twsit constraints Computer Aided Geometric Design Vol 18 2001 129--134
  80. JZhou94
    J. Zhou and J. A. Gregory
    Filling polygonal holes with bicubic patches Computer Aided Geometric Design � Vol 11 1994 � 391--410
  81. JZhou96
    J. Zhou and V. K. H. Lau
    An arbitrary rectangular patch network scheme for free--form surfaces in Mathematics of Surfaces VI
    Oxford 1996 � 397--410
  82. JZhou97
    J. Zhou and V. K. H. Lau
    Constructing GCk continuous surfaces using bi--polynomial patches for a polygonal hole problem in Mathematics of Surfaces VII
    Information Geometers 1997 � 69--83
  83. Zube99
    S. Zube
    The N-Sided Toric Patches and A-resultants Preprint No. 11-99 Johannes Guteneberg Universitat Mainz
    (*)
  84. Zube00
    S. Zube
    N-Sided Toric Patches and A-resultants
    CAGD Vol 17, No 7, pp. 695-714
    (*)

Opinions expressed here are personal and do not reflect the views of Spatial Technology.

Copyright � Pierre Malraison All rights reserved.

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