Titlebook: Geometric Modeling: Theory and Practice; The State of the Art Wolfgang Strasser,Reinhard Klein,René Rau Book 1997 Springer-Verlag Berlin He

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A Synthesis Process for Fair Free-Form Surfaces mesh topology, via a mesh fairing process to a free-form surface that interpolates the mesh curves with .. or .. continuity and is subsequently faired based on some choice of variational fairness criterion. After briefly reviewing earlier work on the construction of a fair curve mesh the paper conc

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New Approximation Methods for Planar Offset and Convolution Curves applications such as NC machining and collision detection of planar curved objects. Using quadratic curve approximation and tangent field matching, the offset and convolution curves can be approximated by polynomial or rational curves within the tolerance of approximation error ∈ > 0. We suggest th

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Surfaces Intersection for Solid Algebra: A Classification Algorithmduces a new strategy to classify pairs of surfaces according to their intersection status, where exact geometric entities are replaced by fuzzy ones. Intersecting surfaces are thus replaced by fuzzy intersecting faces and a fuzzy intersection algorithm provides a 3-State classification of pairs of s

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A Degree-of-Freedom Graph Approachess intrinsic degrees of freedom in their embedding space. Constraints reduce the degrees of freedom of a set of objects. A constraint graph represents the objects and geometric relations between them. A graph algorithm which transforms the undirected constraint graph into a directed acyclic depende

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