Efficient Registration of 3D SPHARM Surfaces

Authors:
Li Shen;Heng Huang;Fillia Makedon;Andrew J. Saykin
Affiliations:
University of Massachusetts;University of Texas at Arlington;University of Texas at Arlington;Indiana University
Venue:
CRV '07 Proceedings of the Fourth Canadian Conference on Computer and Robot Vision
Year:
2007

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Technical Section: Fourier method for large-scale surface modeling and registration

Computers and Graphics
Spaces and manifolds of shapes in computer vision: An overview

Image and Vision Computing

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Abstract

We present SHREC, an efficient algorithm for registration of 3D SPHARM (spherical harmonic) surfaces. SHREC follows the iterative closest point (ICP) registration strategy, and alternately improves the surface correspondence and adjusts the object pose. It establishes the surface correspondence by aligning the underlying SPHARM parameterization. It employs a rotational property of the harmonic expansion to accelerate its step for parameterization rotation. It uses a hierarchical icosahedron approach to sample the rotation space and searches for the best parameterization that matches the template. Our experimental results show that SHREC can not only create more accurate registration than previous methods but also do it efficiently. SHREC is a simple, efficient and general registration method, and has a great potential to be used in many shape modeling and analysis applications.