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Design of sculptured surfaces using the b-spline representation
Publisher:
  • The University of Utah
Order Number:AAI8420751
Pages:
148
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Abstract

Existing techniques for sculptured surface design include interactive positioning of surface control points, surface fitting by interpolation and approximation, various lofting schemes, and the recently developed set operations for certain sculptured surface representations. These techniques by themselves are not suitable for many applications in manufacturing and engineering. New modelling paradigms more appropriate for many surface design problems are needed.The use of alternative techniques for the design of sculptured surfaces in the context of the tensor-product B-spline surface representation is explored. New techniques for modelling with B-splines are developed and some previous instances of surface design tools that are recorded in the literature will be adapted and extended for the B-spline representation. The thesis suggests that a variety of techniques unified by a common representation scheme can allow natural design of a broad class of objects within a single modelling environment.

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Contributors
  • The University of Utah

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