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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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Virtual Topology Construction and Applicationsned in the standard B-Rep are uncoupled, thus allowing topological entities not corresponding to geometric ones. The need for such enhancement is explained as well as the construction process starting with an object described as a standard B-Rep and resulting in the desired modified topology, suitable for the user needs.
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https://doi.org/10.1007/978-3-031-60082-1 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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,Execute – Organisatorische Umsetzung, 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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https://doi.org/10.1007/978-3-031-66304-8duces 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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