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W. Gordon, R. Riesenfeld (1974)
B-SPLINE CURVES AND SURFACESComputer Aided Geometric Design
S. Coons (1967)
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
D. Greenberg (1977)
An interdisciplinary laboratory for graphics research and applicationsProceedings of the 4th annual conference on Computer graphics and interactive techniques
D. Rogers, J. Adams (1976)
Mathematical elements for computer graphics
R. Riesenfeld (1973)
Applications of b-spline approximation to geometric problems of computer-aided design.
A. Forrest (1972)
Mathematical Principles for Curve and Surface Representation
J. Ahlberg, E. Nilson, J. Walsh (1969)
The theory of splines and their applicationsMathematics of Computation, 23
P. Bézier (1972)
Numerical control : mathematics and applications
An interactive computer graphics method has been developed for the rapid generation of arbitrary shaped three-dimensional surfaces. The method is a synthesis of spline theory and algorithms, an interactive means for man-machine communication, and software for static or dynamic graphics display. The basic technique employed is a modified lofting method in which sectional curves are represented by uniform B-splines and the surface is interpolated between sections by Cardinal splines. Among the features of this method are algorithm, which enable interactive modification of the B-spline representation of the sectional curves. At all stages of the process, the spatial information is graphically displayed to the user. Complex surfaces can be created by the combination of a number of shapes that have been separately generated and automatically joined. The system has been successfully interfaced to a variety of analytical routines for structural, medical and graphical applications.
Communications of the ACM – Association for Computing Machinery
Published: Oct 1, 1977
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