PARAMETRIZATION, ALIGNMENT AND SHAPE OF SPHERICAL SURFACES

Xiuwen Liu, John Bowers, Washington Mio

2007

Abstract

We develop parametrization and alignment techniques for shapes of spherical surfaces in 3D space with the goals of quantifying shape similarities and dissimilarities and modeling shape variations observed within a class of objects. The parametrization techniques are refinements of methods due to Praun and Hoppe and yield parametric mesh representations of spherical surfaces. The main new element is an automated technique to align parametric meshes for shape interpolation and comparison. We sample aligned surfaces at the vertices of a dense common mesh structure to obtain a representation of the shapes as organized point-clouds. We apply Kendall’s shape theory to these dense point clouds to define geodesic shape distance, to obtain geodesic interpolations, and to study statistical properties of shapes that are relevant to problems in computer vision. Applications to the construction of compatible texture maps for a family of surfaces are also discussed.

Paper Citation

in Harvard Style

Liu X., Bowers J. and Mio W. (2007). PARAMETRIZATION, ALIGNMENT AND SHAPE OF SPHERICAL SURFACES . In Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, ISBN 978-972-8865-73-3, pages 199-206. DOI: 10.5220/0002046401990206

in Bibtex Style

@conference{visapp07,
author={Xiuwen Liu and John Bowers and Washington Mio},
title={PARAMETRIZATION, ALIGNMENT AND SHAPE OF SPHERICAL SURFACES},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},
year={2007},
pages={199-206},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002046401990206},
isbn={978-972-8865-73-3},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,
TI - PARAMETRIZATION, ALIGNMENT AND SHAPE OF SPHERICAL SURFACES
SN - 978-972-8865-73-3
AU - Liu X.
AU - Bowers J.
AU - Mio W.
PY - 2007
SP - 199
EP - 206
DO - 10.5220/0002046401990206