Communications of the ACM
Mathematical Elements for Computer Graphics
Mathematical Elements for Computer Graphics
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
Applications of b-spline approximation to geometric problems of computer-aided design.
Applications of b-spline approximation to geometric problems of computer-aided design.
Three-dimensional design by graphical man-computer communication.
Three-dimensional design by graphical man-computer communication.
Techniques for interactive three dimensional design
UODIGS '76 Proceedings of the ACM/SIGGRAPH Workshop on User-oriented Design of Interactive Graphics Systems
Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Describing free-form 3D surfaces for animation
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
A Tension-Compatible Patch for Shape-Preserving Surface Interpolation
IEEE Computer Graphics and Applications
Overhauser elements in boundary element analysis
Mathematical and Computer Modelling: An International Journal
C1-continuous generalised parabolic blending elements in the Boundary Element Method
Mathematical and Computer Modelling: An International Journal
Second order overhauser elements for boundary element analysis
Mathematical and Computer Modelling: An International Journal
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The method of parabolic blending for curve and surface interpolation originally conceived by A. W. Overhauser is applied to the interactive free-form design of three dimensional objects. A significant advantage of the algorithm is the user-oriented control of surface shape that is achieved because one interactively manipulates only coordinates on the design surface, as opposed to parametric slopes or design points.The algorithm is demonstrated using an interactive 3D design system that executes in a dual-minicomputer refresh graphics environment without special 3D hardware. The system provides high level data generation commands and direct visual interaction with structured 3D data using a multi-purpose 3D cursor and shaping tool. Objects composed of points, lines, curves and surfaces of different forms may be interactively created and manipulated.