Generalized Swept Mid-structure for Polygonal Models
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley and Sons Ltd.
Abstract
We introduce a novel mid-structure called the generalized swept mid-structure (GSM) of a closed polygonal shape, and a framework to compute it. The GSM contains both curve and surface elements and has consistent sheet-by-sheet topology, versus triangle-by-triangle topology produced by other mid-structure methods. To obtain this structure, a harmonic function, defined on the volume that is enclosed by the surface, is used to decompose the volume into a set of slices. A technique for computing the 1D mid-structures of these slices is introduced. The mid-structures of adjacent slices are then iteratively matched through a boundary similarity computation and triangulated to form the GSM. This structure respects the topology of the input surface model is a hybrid mid-structure representation. The construction and topology of the GSM allows for local and global simplification, used in further applications such as parameterization, volumetric mesh generation and medical applications.
Description
@article{10.1111:j.1467-8659.2012.03061.x,
journal = {Computer Graphics Forum},
title = {{Generalized Swept Mid-structure for Polygonal Models}},
author = {Martin, Tobias and Chen, Guoning and Musuvathy, Suraj and Cohen, Elaine and Hansen, Charles},
year = {2012},
publisher = {The Eurographics Association and John Wiley and Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2012.03061.x}
}