A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
A Survey of the Representation and Design of Surfaces
IEEE Computer Graphics and Applications
Smooth interpolation over hypercubes
Computer Aided Geometric Design
A trivariate clough-tocher scheme for tetrahedral data
Computer Aided Geometric Design
A bivariate C2 Clough-Tocher scheme
Computer Aided Geometric Design
An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
Computer Aided Geometric Design
Short note: A geometric interpretation of convexity conditions for surfaces
Computer Aided Geometric Design
Conversion of a triangular Bézier patch into three rectangular Bézier patches
Computer Aided Geometric Design
NC machining of free form surfaces
Computer-Aided Design
Generation of interpolation surfaces with the least strain energy using dynamic programming
Mathematical and Computer Modelling: An International Journal
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'Surfaces in Computer Aided Geometric Design' focuses on the representation and design of surfaces in a computer graphics environment. This new area has the dual attractions of interesting research problems and important applications. The subject can be approached from two points of view: The design of surfaces which includes the interactive modification of geometric information and the representation of surfaces for which the geometric information is relatively fixed. Design takes place in 3-space whereas representation can be higher dimensional. 'Surfaces in CAGD' can be traced from its inception in rectangular Coons patches and Bezier patches to triangular patches which are current research topics. Triangular patches can interpolate and approximate to arbitrarily located data and require the preprocessing steps of triangulation and derivative estimation. New contouring methods have been found using these triangular patches. Finally, multidimensional interpolation schemes have been based on tetrahedral interpolants and are illustrated by surfaces in 4-space by means of color computer graphics.