A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Trimmed-surface algorithms for the evaluation and interrogation of solid boundary representations
IBM Journal of Research and Development
G1 interpolation of generally unrestricted cubic Bézier curves
Computer Aided Geometric Design - Special issue: Topics in CAGD
Nonrectangular surface patches with curvature continuity
Computer-Aided Design - Special issue on the shape of surfaces
Be´zier patches on cubic grid curves—an appliction to the preliminary design of a yacht hull surface
Computer Aided Geometric Design
The Mathematical Basis of the UNISURF CAD System
The Mathematical Basis of the UNISURF CAD System
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Design of solids with free-form surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
A unified approach for simplifying polygonal and spline models
Proceedings of the conference on Visualization '98
| Hi-index | 0.00 |
A detailed description is given of a local mathematical procedure for constructing a geometrically C/sup 1/ surface by interpolating a grid of cubic Bezier curves that meet in a quite general fashion (for example, they need not meet rectangularly). The constructed surface is a composite mosaic of independently parameterized tensor-product Bezier patches of different degrees (maximum of 6*6). Adjacent patches can be made either C/sup 1/ or C/sup 0/ continuous, as desired. The overall surface can have almost any shape that arises in practice, including the closed surfaces used in solid modeling. Because of its locality, the procedure can be applied at different times in different locations of a surface-to-be; for example, it can be used to combine preexisting smaller surfaces.