منابع مشابه
Manifold-based surfaces with boundaries
We present a manifold-based surface construction extending the C∞ construction of Ying and Zorin (2004a). Our surfaces allow for pircewise-smooth boundaries, have user-controlled arbitrary degree of smoothness and improved derivative and visual behavior. 2-flexibility of our surface construction is confirmed numerically for a range of local mesh configurations.
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Understanding the collective behavior of complex systems from their basic components is a difficult yet fundamental problem in science. Existing model reduction techniques are either applicable under limited circumstances or produce "black boxes" disconnected from the microscopic physics. We propose a new approach by translating the model reduction problem for an arbitrary statistical model int...
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We present a construction of a piecewise rational free-form surface of arbitrary topological genus which may contain sharp features: creases, corners or cusps. The surface is automatically generated from a given closed triangular mesh. Some of the edges are tagged as sharp ones, defining the features on the surface. The surface is C smooth, for an arbitrary value of s, except for the sharp feat...
متن کاملEnumerating branched coverings over surfaces with boundaries
The number of nonisomorphic n-fold branched coverings over a given surface with a boundary is determined by the number of nonisomorphic n-fold graph coverings over a suitable bouquet of circles. A similar enumeration can be done for regular branched coverings. Some explicit formulae for enumerations are also obtained. © 2003 Elsevier Ltd. All rights reserved. MSC 2000: 05C10; 05C30; 57M12
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2011
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2010.07.005