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 (*).
- ACISM98
ACIS^{(r)
Test Harness User's Guide
- 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(*)
- Bang99
C. Bangert and H. Prautzsch
Quadric splines
Computer Aided Geometric Design Vol 16 1999 497--515 (*)
- 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
- 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
- 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
- Chui 00
C.K. Chui and M.-J Lai
Filling polygonal holes using C1 cubic triangular splines, CAGD V17, 297--208 (**)
- Daehlen89
M. Daehlen and V. Skytt
Modelling Non-rectangular surfaces using Box Splines
in Mathematics of Surfaces III
Clarendon 1989
287--300
- Dahmen89
W. Dahmen
Smooth Piecewise quadric surfaces
in Mathematical Methods in CAGD
Academic Press 1989
181--194
- 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
- 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
- Fergus93
H. Ferguson and A. Rockwood
Multiperiperidic Functions for suface design
Computer Aided Geometric Design Vol 10 1993
315--328
- 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
(*)
- Greg86
J. A. Gregory
n-sided surface patches
in Mathematics of Surfaces
Clarendon 1986
217--232
- Grego89
J. A. Gregory and J. M. Hahn
A C2 polygonal surface patch
Computer Aided Geometric Design Vol 6 1989
69--75
- 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
- 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
- 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 (*)
- Hall99a
R. Hall and G. Mullineux
The Zheng-Ball construction without twist constraints
Computer Aided Geometric Design Vol 16 1999 165--175 (*)
- Hall99b
R. Hall and G. Mullineux
Continuity between Gregory-like patches
Computer Aided Geometric Design Vol 16 1999 197-216 (*)
- Hall97
R. Hall and G. Mullineux
Shape Modification of Gregory patches
in Mathematics of Surfaces VII
Information Geometers 1997
383--408
- Herma89
T. Hermann and G. Renner
Subdivision of n-sided regions into four--sided
patches
in Mathematics of Surfaces III
Clarendon 1989
347--357
- Herma95
T. Hermann
G2 interpolation of free--form curve networks by biquintic Gregory
patches
Computer Aided Geometric Design Vol 13 1995
873--893
- Hosa84
M. Hosaka and F. Kimura
Non-four--sided patch expressions with control points
Computer Aided Geometric Design Vol 1 1984
75--86
- Hsu98
K. L. Hsu and D. M. Tsay
Corner Blending of Free Form n-sided Holes
IEEE CG and A Vol 18
72--78
- Karci97
K. Karciauskas
On n-sided Rational Surface Patches
preprint
- Karci98
K. Karciauskas,
Rational m-sided surface patches,
in Mathematics of Surfaces VIII
Information Geometers, Winchester, 1998, 355--368 (*)
- Karci99
K. Karciauskas
Algebraic version of convex combination patches
in Proceedings of a Conference of the Lithuanian
Mathematical Society
1999 (*)
- 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
(*)
- KKato91
K. Kato
Generation of n-sided surface patches with holes
`Computer Aided Design Vol 23 No 10 1991
676--683
- KKato00
K. Kato
N-Sided Surface Generation from Arbitrary Boundary Edges
Proceedings of Curves and Surface IV -St. Malo - 1999
(*)
676--683
- CLoop87
C. Loop and T. DeRose
A Multi--sided generalization of Bezier Surfaces
ACM TOG Vol8 no. 3 1989
204--234<**>
- ALevin99
Adi Levin
Combined subdivision schemes for the design of surfaces satisfying boundary conditions
Computer Aided Geometric Design Vol 16 1999 (*)
345--354
- ALevin00
Adi Levin
Filling N-sided holes by combined subdivision schemes
Proceedings of Curves and Surface IV -St. Malo - 1999
(*)
- Lodha93
S. K. Lodha
Filling N-sided holes,
in Modeling in Computer Graphics: Methods and Applications
Springer Verlag, 1993, 319--346 (*)
- CLoop90
C. Loop and T. D. DeRose
Generalized B--spline Surfaces of Arbitrary Topological Type
SIGGRAPH 1990
- CLoop92
C. Loop
Generalized B--spline Surfaces of Arbitrary Topological Type
Ph.D. Thesis, University of Washington, 1992
- CLoop94a
C. Loop
Smooth Spline Surfaces over Irregular Meshes
SIGGRAPH Proceedings,1994
303--310
- CLoop94b
C. Loop
A G1 triangular spline surface of arbitrary topological type
Computer Aided Geometric Design Vol 11 1994
303--330
- Malr98
P. Malraison
A Bibliography for n-sided surfaces,
in {\sl Mathematics of Surfaces VIII
Information Geometers, Winchester, 1998, 419--430 (*)
- Nasri87
A. Nasri
Polyhedral Subdivision Methods
For Free--Form Surfaces
ACM Transactions on Graphics, Vol 1 1987
29--73
- Nasri91a
A. Nasri
Boundary Corner control
of Re-
cursive
Subdivision Surfaces
`Computer Aided Design Vol 23 1991
405--411
- Nasri91b
A. Nasri
Interpolation On Irregular
Networks With Normal Conditions
Computer Aided Geometric Design Vol8 1991
89--96
- Nasri97a
A. Nasri
Curve interpolation in recursively
generated b--spline surfaces over arbitrary topology
Computer Aided Geometric Design Vol 14 1997
13--30
- Nasri97b
A. Nasri
Interpolation of Open Curves by
Recursive Subivision Surfaces
in The Mathematics of Surfaces VII
Information Geometers 1997,
173--188
- Nasri00
A. Nasri
Recursive Subdivision of Polygonal Complexes and Their applications in CAGD
Computer Aided Geometric Design ,Vol 17 No 7. pp 595-620(**)
- 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(**)
- Peters92
J. Peters
Joining smooth patches at a vertex to form a Ck
surface
Computer Aided Geometric Design Vol 9 1992
387--411
- Peters93
J. Peters
Smooth free--form surfaces over irregular meshes
generalizing quadratic splines
Computer Aided Geometric Design Vol 10 1993
347--361
- Peters94
J. Peters
Constructing C1 Surfaces of Arbitrary Topology Using Biquadratic and
Bicubic Splines
in
Desiging Fair Curves and Surfaces
SIAM 1994
277--294
- Peters95
J. Peters
Biquartic {C
1 spline surfaces over irregular meshes
Computer Aided Design Vol 27 1995
895--903.
- Peters96a
J. Peters
Spline surfaces from irregular control meshes
Zeitschrift f\"{u
r Angewandte
Mathematik und Mechanik
Vol 11 1996
69--72
- Peters96b
J. Peters
Curvature continuous spline surfaces over irregular meshes
Computer Aided Geometric Design Vol 13 1996
101--131
- Peters00
J. Peters
Mesh and Surface Hierarchies
Proceedings of Curves and Surface IV -St. Malo - 1999
(*)
- Renne91
G. Renner
Polynomial n-sided patches
in Curves and Surfaces
Academic Press 1991
407--410
- Sabin83
M. Sabin
Non-Rectangular Surface patches suitable for inclusion in a B--spline
Surface in Proceedings Eurographics83
North Holland 1983
57--70
- Sabin94
M. Sabin
A Symmetric Domain for a 6--sided patch
in Mathematics of Surfaces IV
Clarendon 1994
185--194
- Sabin96
M. Sabin
Transfinite Surface Interpolation
in Mathematics of Surfaces VI
Clarendon 1996
517--534
- 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
- Seder98
T. W. Sederberg,J. Zheng, D. Sewell, M. Sabin
Non-Uniform Recursive Subdivision Surfaces
SIGGRAPH98
- 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
- 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
(*)
- 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
- Varad97
T. Varady and A. P. Rockwood
Geometric Construction for Setback Vertex Blends
Computer Aided Design Vol 29 1997
413--425
- 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
- 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
- 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
- Varad87
T. Varady
Survey and New Results in n-sided Patch Generation
in Mathematcs of Surfaces II
Oxford 1987
203--236
- 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 (*)
- Wall97
J. Wallner and H. Pottmann
Spline Orbifolds
in Curves and Surfaces with Applications in CAGD
Vanderbilt University 1997
445--464
- 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 (**)
- Wang98
X. Wang, F. Cheng and B. A. Barsky
Blending, Smoothing, and Interpolation of Irregular Mesh
Using n-Sided Varady Surfaces
preprint
1997
- 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.
- Warre92
J. Warren
Creating Multisided rational Bezier surfaces
using base points
ACM Transactions on Graphics, Vol. 11(2) 1992
127--139
- 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
- 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
- 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
- Zheng97
J. J. Zheng and A. A. Ball
Degree elevation for n-sided surfaces,
Computer Aided Geometric Design Vol 18 2001
135-147 (**)
- Zheng97
J. J. Zheng
THe n-sided control point surfaces without twsit constraints
Computer Aided Geometric Design Vol 18 2001 129--134
- JZhou94
J. Zhou and J. A. Gregory
Filling polygonal holes with bicubic
patches
Computer Aided Geometric Design Vol 11 1994
391--410
- 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
- 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
- Zube99
S. Zube
The N-Sided Toric Patches and A-resultants
Preprint No. 11-99 Johannes Guteneberg Universitat Mainz
(*)
- 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.
This page hosted by
Get your own Free Home Page