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Authors: Xiuwen Liu ; John Bowers and Washington Mio

Affiliation: Florida State University, United States

Keyword(s): Surface parametrization, surface alignment, shape geodesics, shape of surfaces, shape metric, texture maps.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Image and Video Analysis ; Surface Geometry and Shape

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.

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Paper citation in several formats:
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 (VISIGRAPP 2007) - Volume 1: VISAPP; ISBN 978-972-8865-73-3; ISSN 2184-4321, SciTePress, pages 199-206. DOI: 10.5220/0002046401990206

@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 (VISIGRAPP 2007) - Volume 1: VISAPP},
year={2007},
pages={199-206},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002046401990206},
isbn={978-972-8865-73-3},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISIGRAPP 2007) - Volume 1: VISAPP
TI - PARAMETRIZATION, ALIGNMENT AND SHAPE OF SPHERICAL SURFACES
SN - 978-972-8865-73-3
IS - 2184-4321
AU - Liu, X.
AU - Bowers, J.
AU - Mio, W.
PY - 2007
SP - 199
EP - 206
DO - 10.5220/0002046401990206
PB - SciTePress