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キーワード:
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要旨:
Mesh parameterization is a fundamental problem in computer graphics as
it allows for texture mapping and facilitates a lot of mesh processing
tasks. Although there exists a variety of good parameterization methods
for meshes that are topologically equivalent to a disc, the
segmentation into nicely parameterizable charts of higher genus meshes
has been studied less. In this paper we propose a new segmentation
method for the generation of charts that can be flattened
efficiently. The integrated Gaussian curvature is used to measure the
developability of a chart and a robust and simple scheme
is proposed to integrate the Gaussian curvature. The segmentation
approach evenly distributes Gaussian curvature over the charts and
automatically ensures disc-like topology of each chart. For numerical
stability, we use area on the Gauss map to represent Gaussian
curvature. Resulting parameterization shows that charts generated in
this way have less distortion compared to charts generated by other
methods.
