Surveys (Geometric Modeling and CAGD)
- ``A survey of curves and surfaces in CAGD'', W. Bohm et al. Computer Aided
Geometric Design, 1(1), 1-60, 1984.
- "CAGD's top ten: what to watch", G. Nielson, IEEE Computer Graphics and
Applications, 35-37, January 1993.
- "A survey of the representation and design of surfaces", R.E. Barnhill,
IEEE Computer Graphics and Applications, 9-16, October, 1983.
- "Surfaces in computer aided geometric design: a survey with new results",
R.E. Barnhill, Computer Aided Geometry Design, 2(1), 1-17, 1985.
- "Triangular Bernstein-Bezier patches", G. Farin, Computer Aided Geometric
Design, 3, 83-127, 1986.
- "A hierarchy of geometric forms", R.T. Farouki and J.K. Hinds, IEEE Computer
Graphics and Applications, 51-78, May 1985.
- "Rational B-splines for curve and surface representation", W. Tiller, IEEE
Computer Graphics and Applications, 61-69, September 1983.
- "On NURBS: a survey", L. Piegl, IEEE Computer Graphics and Applications,
55-71, January 1991.
- "Key developments in computer-aided geometric design", L. Piegl, Computer-Aided
Design, 21(5), 262-273, June 1989.
- "Trends in curve and surface design", G. Farin, Computer-Aided Design, 21(5),
June 1989.
- "From conics to NURBS: a tutorial and survey", G. Farin, IEEE Computer Graphics
and Applications, 78-86, September 1992.
- "Solid modeling: a historical summary and contemporary assessment", A.A.G.
Requicha and H.B. Voelcker, IEEE Computer Graphics and Applications, 9-24,
March 1982.
- "Solid modeling: current status and research directions", A.A.G. Requicha
and H.B. Voelcker, IEEE Computer Graphics and Applications, 25-37, October
1983.
- "An overview of analytic solid modeling", M.S. Casale and E.D. Stanton,
IEEE Computer Graphics and Applications, 45-56. February 1985.
- "Architectural issues in solid modelers", J.R. Miller, IEEE Computer Graphics
and Applications, 72-87, September 1989.
- "Sculptured surfaces in solid models: issues and alternative approaches",
J.R. Miller, IEEE Computer Graphics and Applications, 37-48, December 1986.
- "Design techniques for the definition of solid objects with free-form geometry",
T. Varady and M.J. Pratt, Computer-Aided Geometric Design, 1, 207-225, 1984.
- "Solid modeling and beyond", A.A.G. Requicha and J.R. Rossignac, IEEE Computer
Graphics and Applications, 31-44, September 1992.
- "An introduction to polar forms", H.-P. Seidel, IEEE Computer Graphics and
Applications, 38-46, January 1993.
- "Scattered data modeling", G.M. Nielson, IEEE Computer Graphics and Applications,
60-70, January 1993.
- "Surface analysis methods", J.M. Beck, R.T. Farouki, and J.K. Hinds, IEEE
Computer Graphics and Applications, 18-36, December 1986.
- "Modeling and representation of dimensions and tolerances: a survey", N.P.
Juster, Computer-Aided Design, 24(1), 3-17, January 1992.
- "Background and source information about computer graphics", C. Machover,
IEEE Computer Graphics and Applications, 68-81, January 1985.
- "An updated guide to sources of information about computer graphics", C.
Machover, IEEE Computer Graphics and Applications, 49-59, January/February
1983.
- "Computer-aided geometric design: a bibliography with keywords and classified
index", B.A. Barsky, IEEE Computer Graphics and Applications, 67-108, July
1981.
- "An indexed bibliography on image synthesis", N. Magnenat-Thalmann and D.
Thalmann, IEEE Computer Graphics and Applications, 27-38, August 1987.
- "An indexed bibliography on computer animation", N. Magnenat-Thalmann and
D. Thalmann, IEEE Computer Graphics and Applications, 76-86, July 1985.
- "Six-hundred indexed references on computer animation", N. Magnenat-Thalmann
and D. Thalmann, The Journal of Visualization and Computer Animation, 3,
147-174, 1992.
- "Architectural CAD: a ten year assessment of the state of the the art",
C.M. Eastman, Computer-Aided Design, 21(5), 289-292, June 1989.
- "Review of CAD/CAM", A.I. Llewelyn, Computer-Aided Design, 21(5), 297-302,
June 1989.
- "AI-based design versus geometry-based design or why design cannot be supported
by geometry alone", T. Smithers, Computer-Aided Design, 21(3), 141-150,
April 1989.
- "Computer-aided mechanical engineering: 1958 to 1988", W.S. Elliott, Computer-Aided
Design, 21(5), 275-288, June 1989.
- "Visualizing and modeling scattered multivariate data", G.M. Nielson, T.A.
Foley, B. Hamann, and D. Lane, IEEE Computer Graphics and Applications,
47-55, May 1991.
Physics-Based Modeling
- "Physically-based modeling: past, present, and future", D. Terzopoulos,
et.al., Siggraph'89 Panel Proceedings, 191-209, 1989.
- ``Elastically deformable models,'' D. Terzopoulos, J. Platt, A. Barr, K.
Fleischer, Computer Graphics, 21(4), 1987, 205-214, Proc. ACM SIGGRAPH'87
Conference, Anaheim, CA, July, 1987.
- ``Modeling inelastic deformation: Viscoelasticity, plasticity, fracture,''
D. Terzopoulos, K. Fleischer, Computer Graphics, 22(4), Proc. ACM SIGGRAPH'88
Conference, Atlanta, GA, August, 1988, 269-278.
- ``Deformable models,'' D. Terzopoulos, K. Fleischer, The Visual Computer,
4(6), 1988, 306-331.
- "Dynamic NURBS with Geometric Constraints for Interactive Sculpting," D. Terzopoulos and H. Qin, ACM Transactions on Graphics, 13(2), 103-136,
April, 1994.
- "D-NURBS: A Physics-Based Geometric Design Framework," H. Qin and D. Terzopoulos, IEEE Transactions on Visualization and Computer
Graphics, 2(1), 85-96, March, 1996.
- "Deformable models in medical image analysis: a survey", T. McInerney and
T. Terzopoulos, Medical Image Analysis, 1(2), 91-108, 1996.
- "Deformable curve and surface finite-elements for free-form shape design",
G. Celniker and D. Gossard, Computer Graphics (Siggraph'91), 25(4), 257-266,
1991.
- "Linear constraints for deformable B-spline surfaces", G. Celniker and W.
Welch, Proceedings of Symposium on Interactive 3D Graphics, 165-170, 1992.
- "Surface modeling th oriented particle systems", R. Szeliski and D. Tonnesen,
Computer Graphics (Siggraph'92), 26(2), 1992.
- "Constraints on deformable models: recovering 3D shape and nonrigid motion",
D. Terzopoulos, A. Witkin, and M. Kass", Artificial Intelligence, 36, 91-123,
1988.
- "Dynamic 3D models with local and global deformations: deformable superquadrics",
D. Terzopoulos and D. Metaxas, IEEE Transactions on Pattern Analysis and
Machine Intelligence, 13(7), 703-713, 1991.
- "Physically-based facial modeling, analysis, and animation", D. Terzopoulos
and K. Waters, The Journal of Visualization and Computer Animation, 1, 73-80,
1990.
- "Heating and Melting deformable models", D. Terzopoulos, J. Platt, and K.
Fleischer, The Journal of Visualization and Computer Animation, 2, 68-73,
1991.
- "Snakes: active contour models", M. Kass, A. Witkin, and d. Terzopoulos,
International Journal of Computer Vision, 1(4), 321-331, 1988.
- "Constraint methods for flexible models", J. Platt and A.H. Barr, Computer
Graphics (Siggraph'88), 22(4), 1988.
- "A finite element model for 3D shape reconstruction and nonrigid motion
tracking", T. McInerney and D. Terzopoulos, Proceedings of the Fourth International
Conference on Computer Vision, 1992.
- "Physical modeling with B-spline surfaces for interactive design and animation",
J. Thingvold and E. Cohen, Proceedings of Symposium on Interactive 3D Graphics,
129-137, 1990.
- "B-snakes: implementation and application to stereo", S. Menet, P. Saint-Marc
and G. Medioni, Proceedings of Image Understanding Workshop", 720-726, 1990.
- "Sampling and reconstruction with adaptive meshes", D. Terzopoulos and M.
Vasilescu, Proceedings of IEEE Conference on Computer Vision and Pattern
Recognition", 70-75, 1991.
- "Dynamic doformation of solid primitives with constraints", D. Metaxas and
D. Terzopoulos, Computer Graphics (Siggraph'92), 26(2), 309-312, 1992.
- "Fast animation and control of nonrigid structures", A. Witkin and W. Welch,
Computer Graphics (Siggraph'90), 24(4), 243-252, 1990.
- "The computation of visible-surface representation", D. Terzopoulos, IEEE
Transactions on Pattern Analysis and Machine Intelligence, 10(4), 417-438,
1988.
- "Modeling liquids and solids using thermal particles", D. Tonnesen, Graphics
Interface'91, 255-262, 1991.
- "From splines to fractals", R. Szeliski and D. Terzopoulos, Computer Graphics
(Siggraph'89), 23(3), 51-60, 1989.
- "Pump it up: computer animation of a biomechanically based model of muscle
using the finite element method", D. Chen and D. Zeltzer, Computer Graphics
(Siggraph'92), 26(2), 89-98, 1992.
- "Constrained deformable superquadrics and nonrigid motion tracking", D.
Metaxas and D. Terzopoulos, Proceedings of IEEE Conference on Computer Vision
and Pattern Recognition, 1991.
- "Recursive estimation of shape and nonrigid motion", D. Metaxas and D. Terzopoulos,
Proceedings of IEEE Workshop on Visual Motion, Princeton, N.J., October
1991.
- "Automatic extraction of deformable part models", A. Pentland, International
Journal of Computer Vision, 4, 107-126, 1990.
- "Good vibrations: modal dynamics for graphics and animation", A. Pentland
and J. Williams, Compuer Graphics (Siggraph'89), 23(3), 215-222.
- "Integrating constraints and direct manipulation", M. Gleicher, Proceedings
of Symposium on Interactive 3D Graphics, 171-174, 1992.
- "Reaction-diffusion textures", A. Witkin and M. Kass, Computer Graphics
(Siggraph'91), 25(4), 299-308, 1991.
PDE Models
- "Representing PDE surfaces in terms of B-splines", M.I.G. Bloor and M.J.
Wilson, Computer-Aided Design, 22(6), 324-331, 1990.
- "Using partial differential equations to generate free-form surfaces", M.I.G.
Bloor and M.J. Wilson, Computer-Aided Design, 22(4), 202-212, 1990.
Functional Optimization
- "Functional optimization for fair surface design", H.P. Moreton and C.H.
Sequin, Computer Graphics (Siggraph'92), 26(2), 167-176, 1992.
- "Variational surface modeling", W. Welch and A. Witkin, Computer Graphics
(Siggraph'92), 26(2), 157-166, 1992.
- "Parametric surface interpolation", M. Lounsbery, S. Mann, and T. DeRose,
IEEE Computer Graphics and Applications, 45-52, September 1992.
- "A least-squares smooth fitting for irregularly spaced data: finite-element
approach using the cubic B-spline basis", Hiroshi Inoue, Geophysics, 51(11),
2051-2066, November 1986.
Geometric Manipulation and Deformation
- "Geometric manipulation of tensor product surfaces", B. Fowler, Proceedings
of Symposium on Interactive 3D Graphics, pp 101-108, 1992.
- "Global and local deformations of solid primitives", A.H. Barr, Computer
Graphics (Siggraph'84), 18(3), 21-30, 1984.
- "Locally manipulating the geometry of curved surfaces", P.N. Georgiades
and D.P. Greenberg, IEEE Computer Graphics and Applications, 54-64, January
1992.
- "Beyond bump maps: nonlinear mappings for the modeling of geometric details
in computer graphics", C. van Overveld, Computer-Aided Design, 24(4), 201-209,
1992.
- "Using deformations to explore 3D widget design", S. Snibbe, et.al., Computer
Graphics (Siggraph'92), 26(2), 351-352, 1992.
- "Free-form deformation of solid geometric models", T. Sederberg and S. Parry,
Computer Graphics (Siggraph'86), 20(4), 151-160, 1986.
- "Extended free-form deformation: a sculpting tool for 3D geometric modeling",
S. Coquillart, Computer Graphics (Siggraph'90), 24(4), 187-196, 1990.
- "Animated free-form deformation: an interactive animation technique", S.
Coquillart and P. Jancene, Computer Graphics (Siggraph'91), 25(4), 23-26,
1991.
- "Sculpting: an interactive volumetric modeling technique", T. Galyean and
J.F. Hughes, Computer Graphics (Siggraph'91), 25(4), 267-274, 1991.
- "Geometrically deformed models: a method for extracting closed geometric
models from volume data", J.V. Miller, et.al., Computer Graphics (Siggraph'91),
25(4), 217-226, 1991.
- "Direct manipulation of free-form deformations", W. Hsu, J.F. Hughes, and
H. Kaufman, Computer Graphics (Siggraph'92), 26(2), 177-184, 1992.
- "JDCAD: a highly interactive 3D modeling system", J. Liang and M. Green,
Computer and Graphics, 18(4), 499-506, 1994.
NURBS and B-Splines
- "Modifying the shape of rational B-splines. Part 1: curves", L. Piegl, Computer-Aided
Design, 21(8), 509-518, 1989.
- "Modifying the shape of rational B-splines. Part 2: surfaces", L. Piegl,
Computer-Aided Design, 21(9), 538-546, 1989.
- "Curve and Surface constructions using rational B-splines", L. Piegl and
W. Tiller, Computer-Aided Design, 19(9), 485-498, 1987.
- "Representation of quadric primitives by rational polynomials", L. Piegl,
Computer Aided Geometric Design, 2, 151-155, 1985.
- "The sphere as a rational Bezier surface", L. Piegl, Computer Aided Geometric
Design, 3, 45-52, 1986.
- "On the use of infinite control points in CAGD", L. Piegl, Computer Aided
Geometric Design, 4, 155-166, 1987.
- "Infinite control points - a method for representing surfaces of revolution
using boundary data", L. Piegl, IEEE Computer Graphics and Applications,
45-55, March 1987.
- "A menagerie of rational B-spline circles", L. Piegl and W. Tiller, IEEE
Computer Graphics and Applications, 48-56, 1989.
- "Matrix representation for NURB curves and surfaces", B.K. Choi, W.S. Yoo,
and C.S. Lee, Computer-Aided Design, 22(4), 235-239, 1990.
- "Hierarchical B-spline refinement", D.R. Forsey and R.H. Bartels, Computer
Graphics (Siggraph'88), 22(4), 205-212, 1988.
- "Skinning techniques for interactive B-spline surface interpolation", C.D.
Woodward, Computer-Aided Design, 20(8), 441-451, October 1988.
- "Cross-sectional design of B-spline surfaces", C.D. Woodward, Computer and
Graphics, 193-201, 1987.
- "B-spline surfaces: a tool for computer painting", H. Huitric and M. Nahas,
IEEE Computer Graphics and Applications", 39-47, March 1985.
- "A procedure for generating contour lines from a B-spline surface", S.g.
Satterfield and D.F. Rogers, IEEE Computer Graphics and Applications, 71-75,
April 1985.
- "Ray tracing free-form B-spline surfaces", M.A.J. Sweeney and R.H. Bartels,
IEEE Computer Graphics and Applications, 41-49, February 1986.
- "Ship hulls, B-spline surfaces, and CAD/CAM", D.F. Rogers, S.G. Satterfield,
and F. A. Rodriguez, IEEE Computer Graphics and Applications, 37-45, December
1983.
Subdivision
- "Recursively generated B-spline surfaces on arbitrary topological meshes",
E. Catmull and J. Clark, Computer-Aided Design, 10(6), 350-355, November
1978.
- "Behaviour of recursive division surfaces near extraordinary points", D.
Doo and M. Sabin, Computer-Aided Design, 10(6), 356-360, November 1978.
- "A matrix approach to the analysis of recursively generated B-spline surfaces",
A.A. Ball and D.J.T. Storry, Computer-Aided Design, 18(8), 437-442, October
1986.
- "Conditions for tangent plane continuity over recursively generated B-spline
surfaces", A.A. Ball and D.J.T. Storry, ACM Transations on Graphics, 7(2),
83-102, April 1988.
- "A butterfly subdivision scheme for surface interpolation with tension control",
D. Dyn, D. Levin, and J.A. Gregory, ACM Transations on Graphics, 9(2), 160-169,
April 1990.
- "An investigationof curvature variations over recursively generated B-spline
surfaces", A.A. Ball and D.J.T. Storry, ACM Transactions on Graphics, 9(4),
424-437, October 1990.
- "Interpolatory convexity-preserving subdivision schemes for curves and surfaces",
D. Dyn, D. Levin, and D. Liu, Computer-Aided Design, 24(4), 211-216, April
1992.
- "Interpolating subdivision for meshes with arbitrary topology", D. Zorin,
P. Schroder, and W. Sweldens, SIGGRAPH'96 Proceedings, 189-192.
- "Surface interpolation on irregular networks with normal conditions", A.
H. Nasri, Computer Aided Geometric Design, 8, 89-96, 1991.
- "Including shape handles in recursive subdivision surfaces", P. Brunet,
Computer Aided Geometric Design, 5, 41-50, 1988.
- "Design of an n-sided surface patch from Hermite boundary data", D.J.T.
Storry and A.A. Ball, Computer Aided Geometric Design, 6, 111-120, 1989.
- "Polyhedral subdivision methods free-form surfaces", A. H. Nasri, ACM Transactions
on Graphics, 6(1), 29-73, January 1987.
-
Geometric Continuity
- "Geometric continuity of parametric curves: three equivalent characterizations",
B.A. Barsky and T.D. DeRose, IEEE Computer Graphics and Applications, 60-68,
November 1989.
- "Geometric continuity of parametric curves: constructions of geometrically
continuous splines", B.A. Barsky and T.D. Derose, IEEE Computer Graphics
and Applications, 60-68, January 1990.
-