136 research outputs found

    Applications of the method of invariants in computer graphics

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    In order to evoke a discussion about possible future research themes for the Eindhoven Department of Mathematics and Computing Science, a small overview about the scientific background of the group is presented. We sketch the global framework of the method of invariants in deriving algorithms, and we apply this method to two well-known basic algorithms in computer graphics

    30 Years after Sketchpad : relaxation of geometric constraints revisited (I)

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    The problem of solving sets of coupled geometric constraints in the context of inetractive computer aided sketching is studied. Some criteria for solution methods are given and the applicability of a relaxation method is discussed. Despite its relatively slow convergence, the relaxation method turns out to be sufficiently flexible (it works for a variety of constraint types and it can be implemented to handle both under-and over-constrained systems in a stable way) to be of at least qualitative use in an interactive design environment. Some mathematical aspects of the method are discussed and examples of applications are given
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