Geometric Motion Design

We describe the use of rational B{spline motions for the solution of motion design problems. It is shown that such motions possess two kinds of control structures suitable for interactive design or geometry processing, respectively. A main advantage of the proposed technique over previous approaches is that it is built directly onto standard CAD algorithms and thus it inherits their advantages. As examples, we brieey examine interpolation problems and relations to rational curves and surfaces with rational oosets.

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