Deformable Fourier models for surface finding in 3-D images

Lawrence H. Staib; James S. Duncan

doi:10.1117/12.131070

22 September 1992 Deformable Fourier models for surface finding in 3-D images

Lawrence H. Staib, James S. Duncan

Proceedings Volume 1808, Visualization in Biomedical Computing '92; (1992) https://doi.org/10.1117/12.131070
Event: Visualization in Biomedical Computing, 1992, Chapel Hill, NC, United States

Abstract

This paper describes a new global shape parametrization for smoothly deformable three- dimensional objects, such as those found in biomedical images, whose diversity and irregularity make them difficult to represent in terms of fixed features or parts. This representation is used for geometric surface matching to three-dimensional image data. The parametrization decomposes the surface into sinusoidal basis functions. Four types of surfaces are modeled: tori, open surfaces, closed surfaces, and tubes. This parametrization allows a wide variety of smooth surfaces to be described with a small number of parameters. Surface finding is formulated as an optimization problem. Results of the method applied to synthetic and medical three-dimensional images are presented.

Citation Download Citation

Lawrence H. Staib and James S. Duncan "Deformable Fourier models for surface finding in 3-D images", Proc. SPIE 1808, Visualization in Biomedical Computing '92, (22 September 1992); https://doi.org/10.1117/12.131070

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