Geodesic Curves for Analysis of Continuous Implicit Shapes

Author

Solem, Jan Erik

Author_Institution

Sch. of Technol. & Soc., Malmo Univ.

Volume

1

fYear

2006

fDate

2006

Firstpage

852

Lastpage

855

Abstract

A method is proposed for performing shape analysis of m-surfaces, e.g., planar curves and surfaces, with a geometric interpretation. The analysis uses an implicit surface representation and connects the popular level set approach with shape analysis. The representation is continuous and completely landmark-free. Shapes are represented as points on an infinite-dimensional manifold and the distance between two surfaces is given by the length of a path on this manifold. The analysis is valid in any dimension and examples of applications such as interpolation and clustering are given

Keywords

feature extraction; image representation; interpolation; pattern clustering; stereo image processing; clustering; geodesic curves; geometric interpretation; infinite-dimensional manifold; interpolation; m-surfaces; planar curves; planar surfaces; shape analysis; surface distance; surface representation; Biomedical imaging; Ellipsoids; Interpolation; Level set; Mathematics; Performance analysis; Principal component analysis; Sampling methods; Shape measurement; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Pattern Recognition, 2006. ICPR 2006. 18th International Conference on

Conference_Location

Hong Kong

ISSN

1051-4651

Print_ISBN

0-7695-2521-0

Type

conf

DOI

10.1109/ICPR.2006.606

Filename

1699024