Analytic Curve Skeletons for 3D Surface Modeling and Processing
نویسندگان
چکیده
منابع مشابه
Analytic Curve Skeletons for 3D Surface Modeling and Processing
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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A novel definition of the 3D curve-skeleton is presented. Many existing approaches to the problem can be formalized in the given definition. The main advantage of the presented mathematical model is that it allows strict quality assesment of the produced curveskeleton. The definition is based on the usage of fat curves. A fat curve is a 3D object which allows to approximate tubular fragments of...
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Since late 1990s, Empirical Mode Decomposition (EMD) starts to emerge as a powerful tool for processing non-linear and non-stationary signals. Nonetheless, the research on exploring EMD-relevant techniques in the domain of geometric modeling and processing is extremely rare. Directly applying EMD to coordinate functions of 3D shape geometry will not take advantage of the attractive EMD properti...
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Skeletons are powerful shape descriptors with many applications in shape processing, reconstruction and matching. In this paper we show that in 3D, curve skeletons can be extracted from surface skeletons in the same manner as surface skeletons can be computed from 3D object representations. Thus, the curve skeleton is conceptually the result of a recursion applied twice to a given 3D shape. To ...
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We present an algorithm that, starting from the surface skeleton of a 3D solid object, computes the curve skeleton. The algorithm is based on the detection of curves and junctions in the surface skeleton. It can be applied to any surface skeleton, including the case in which the surface skeleton is two-voxel thick.
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ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2012
ISSN: 0167-7055
DOI: 10.1111/j.1467-8659.2012.03215.x