A new algorithm for generating quadrilateral meshes and its application to FE-based image registration
Ramaswami, S., M. Siqueira, T. Sundaram, J. Gallier, J. Gee
Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.159-170, Sept. 2003
12th International Meshing Roundtable
September 14-17, 2003
Santa Fe, New Mexico, U.S.A.
Rutgers University, Camden, NJ 08102, USA
University of Pennsylvania, Philadelphia, PA 19104, USA
Universidade Federal de Mato Grosso do Sul, Campo Grande, MS 79070-900, Brazil
The use of finite element (FE) analysis in the simulation of physical phenomenon over the
human body has necessitated the construction of meshes from images. Despite the availability
of several tools for generating meshes for FE-based applications, most cannot deal directly
with the raw pixel-wise representation of image data. Additionally, some are optimized
for the construction of much simpler shapes than those encountered with the human body.
In this work, we introduce a new algorithm to obtain strictly convex quadrilateral meshes
of bounded size from triangulations of polygonal regions with or without polygonal holes.
We present an approach to construct quadrilateral meshes from segmented images from the
aforementioned algorithm, and a quantitative analysis of the quality of the meshes
generated with our algorithm with respect to the performance of a FE-based image registration
method that takes image meshes as input.
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