On-the-fly Curve-skeleton Computation for 3D Shapes

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Date
2007
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Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
The curve-skeleton of a 3D object is an abstract geometrical and topological representation of its 3D shape. It maps the spatial relation of geometrically meaningful parts to a graph structure. Each arc of this graph represents a part of the object with roughly constant diameter or thickness, and approximates its centerline. This makes the curve-skeleton suitable to describe and handle articulated objects such as characters for animation. We present an algorithm to extract such a skeleton on-the-fly, both from point clouds and polygonal meshes. The algorithm is based on a deformable model evolution that captures the object s volumetric shape. The deformable model involves multiple competing fronts which evolve inside the object in a coarse-to-fine manner. We first track these fronts centers, and then merge and filter the resulting arcs to obtain a curve-skeleton of the object. The process inherits the robustness of the reconstruction technique, being able to cope with noisy input, intricate geometry and complex topology. It creates a natural segmentation of the object and computes a center curve for each segment while maintaining a full correspondence between the skeleton and the boundary of the object.
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@article{
10.1111:j.1467-8659.2007.01054.x
, journal = {Computer Graphics Forum}, title = {{
On-the-fly Curve-skeleton Computation for 3D Shapes
}}, author = {
Sharf, Andrei
and
Lewiner, Thomas
and
Shamir, Ariel
and
Kobbelt, Leif
}, year = {
2007
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2007.01054.x
} }
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