Computational geometry: curve and surface modeling
نویسندگان
چکیده
منابع مشابه
The Algebra and Geometry of Curve and Surface Inversion
An inversion equation takes the Cartesian coordinates of a point on a parametric curve or surface and returns the parameter value(s) of that point. A 2-D curve inversion equation has the form t = f(x, y)/g(x, y). This paper shows that practical insight into inversion can be obtained by studying the geometry of the implicit curves f(x, y) = 0 and g(x, y) = 0. For example, the relationship betwee...
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We develop a tractable model for elucidating the assembly pathways by which an icosahedral viral shell forms from 60 identical constituent protein monomers. This poorly understood process a remarkable example of macromolecular self-assembly occuring in nature and possesses many features that are desirable while engineering self-assembly at the nanoscale. The model uses static geometric constrai...
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We present a new curve skeleton model designed for surface modeling and processing. This skeleton is defined as the geometrical integration of a piecewise harmonic parameterization defined over a disk-cylinder surface decomposition. This decomposition is computed using a progressive Region Graph reduction based on both geometric and topological criteria which can be iteratively optimized to imp...
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Article history: Received 6 February 2008 Received in revised form 5 February 2009 Accepted 6 February 2009 Available online 11 February 2009
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Recursion schemes are familiar in the theory of soliton equations, e.g., in the discussion of infinite hierarchies of conservation laws for such equations. Here we develop a variety of special topics related to curves and curve evolution in two and three-dimensional Euclidean space, with recursion as a unifying theme. The interplay between curve geometry and soliton theory is highlighted.
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1990
ISSN: 0307-904X
DOI: 10.1016/0307-904x(90)90177-7