This survey presents an overview to various types of continuity of curves and surfaces, in particular parametric (C n), visual or geometric (V n
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704
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Curves and Surfaces for Computer Aided Geometric Design, 4th ed.Academic
– Farin
- 1997
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568
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A Practical Guide to Splines
– Boor
- 1978
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390
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An Improved Illumination Model for Shaded Display
– Whitted
- 1980
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259
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Modelling the interaction of light between diffuse surfaces
– Goral, Torrance, et al.
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235
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The art of computer programming, volume 1, Fundamental Algorithms
– Knuth
- 1973
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201
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An Introduction to Splines for use in Computer Graphics and Geometric Modeling
– Bartels, Beatty, et al.
- 1987
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91
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Continuous Shading of Curved Surfaces
– Gouraud
- 1971
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88
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Contribution to the problem of approximation of equidistant data by analytic functions
– Schoenberg
- 1946
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57
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Triangular Bernstein-Bezier patches
– Farin
- 1986
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56
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A survey of curve and surface methods
– Boehm, Farin, et al.
- 1984
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41
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Scattered data interpolation in three or more variables. Mathematical methods in computer aided geometric design
– Alfeld
- 1989
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36
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Scan Line Methods for Displaying Parametrically Defined Surfaces
– Lane, Carpenter, et al.
- 1980
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34
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Visually smooth interpolation with triangular Bezier patches
– Piper
- 1987
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28
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A class of local interpolation splines
– Catmull, Rom
- 1974
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21
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A transfinite, visually continuous, triangular interpolant
– Nielson
- 1987
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21
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Applications of B-spline Approximation to Geometric Problems of Computer-Aided Design
– RIESENFELD
- 1973
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20
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Shading and shadowing with linear light sources
– POULIN, J
- 1990
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19
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The use of piecewise forms for the numerical representation of shape
– Sabin
- 1976
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17
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Illumination for computer-generated pictures
– Phong
- 1975
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16
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do Carmo. Differential Geometry of Curves and Surfaces
– Manfredo
- 1976
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14
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A construction for visual C continuity of polynomial surface patches
– Farin
- 1982
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14
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An Introduction to Ray-Tracing
– Glassner
- 1989
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14
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G Interpolation of generally unrestricted Cubic Bezier Curves
– Sarraga
- 1987
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13
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Some piecewise polynomial alternatives to splines under tension
– Nielson
- 1974
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12
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The Beta-Spline: A local representation based on shape parameters and fundamental geometric measures
– Barsky
- 1981
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12
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Local Control of Bias and Tension in Betasplines
– Barsky, Beatty
- 1983
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11
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Necessary and Sufficient Conditions for Tangent Plane Continuity of Bt?zier Surfaces, Computer Aided Geometric Design 7
– DeRose
- 1990
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11
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Correction of Local Surface Irregularities Using Reflection Lines
– Klass
- 1980
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10
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Piecewise Polynomial Spaces and Geometric Continuity of Curves
– Dyn, Micchelli
- 1985
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10
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Smooth closed surfaces with discrete triangular interpolants
– Herron
- 1985
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9
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Curvature continuous triangular interpolants
– Hagen, Pottmann
- 1989
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8
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Geometric continuity of parametric curves: Three equivalent characterizations
– Barsky, DeRose
- 1989
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8
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Geometric continuity
– Gregory
- 1989
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8
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Visualizing the fourth dimension using geometry and light
– Hanson, Heng
- 1991
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8
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Techniques for visual continuity
– Herron
- 1987
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6
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Geometric continuity of parametric curves: Constructions of geometrically continuous splines
– Barsky, DeRose
- 1990
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6
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Rational curves and surfaces
– Farin
- 1989
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6
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Rational Continuity: Parametric, Geometric, and Frenet Frame Continuity of Rational Curves
– Hohmeyer, Barsky
- 1989
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6
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Contour and contrast
– Ratliff
- 1972
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5
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Explicit continuity conditions for adjacent B'ezier surface patches
– Degen
- 1990
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5
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Visually C cubic splines
– Farin
- 1982
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5
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Geometric spline curves. Computer Aided Geometric Design
– Hagen
- 1985
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5
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GC continuity conditions between adjacent rectangular and triangular B'ezier surface patches
– Liu, Hoschek
- 1989
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4
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On β-continuous Functions and Their Application to the Construction of Geometrically Continuous Curves and Surfaces
– Goldman, Barsky
- 1989
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4
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On Formulation and Display for Visualizing Features and Evaluating Quality of Free-form Surfaces
– Higashi, Kushimoto, et al.
- 1990
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4
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Nonrectangtslar Surface Patches with Curvature Continuity
– Jones
- 1988
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3
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Numerical Control --- Mathematics and Applications, translation by A. Robin Forrest and Anne F. Pankhurst of Emploi des machines 'a commande num'erique, Masson et Cie
– B'ezier
- 1972
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3
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On the G continuity of piecewise B'ezier surfaces: a review with new results. Computer Aided Design, 22(9):556 -- 573
– Du, Schmitt
- 1990
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3
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Algebraic aspects of geometric continuity
– Goldman, Michelli
- 1989
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3
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GC continuity conditions between two adjacent rational B'ezier surface patches. Computer Aided Geometric Design, 7:151
– Liu
- 1990
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