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Invariant surface alignment in the presence of affine and some nonlinear transformations
Conference proceeding

Invariant surface alignment in the presence of affine and some nonlinear transformations

F S Cohen, C Pintavirooj and IEEE COMPUTER SOCIETY
IEEE WORKSHOP ON MATHEMATICAL METHODS IN BIOMEDICAL IMAGE ANALYSIS, PROCEEDINGS, pp 78-85
01 Jan 2000

Abstract

Engineering Engineering, Biomedical Life Sciences & Biomedicine Mathematics Mathematics, Applied Physical Sciences Radiology, Nuclear Medicine & Medical Imaging Science & Technology Technology
In this paper, we introduce a non-iterative geometric-based method to align 3D brain surfaces into standard coordinate system (SCS), which is bused on a novel set of surface landmarks (e.g., inflection and/or zero torsion points residing on the parabolic contours), which are intrinsic and are computed from the differential geometry of the surface. This is ill contrast to existing methods that depend on anatomical landmarks that require expert intervention to locate - a very hard task. The landmarks al-e local and are preserved under affine transformations. To reduce the sensitivity of the landmarks to noise, we use a B-Spline surface representation that smooths out the sui-face prior to the computation of the landmarks. The alignment is achieved by establishing correspondences benz een the landmarks after a conformal sorting based on derived absolute invariants (volumes confined between parallele-pipeds spanned by sets of the landmark point quadruplets). The method is tested for intra- and inter-brain alignments while entertaining cubic nonlinear-transformations.

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Web of Science research areas
Engineering, Biomedical
Mathematics, Applied
Radiology, Nuclear Medicine & Medical Imaging
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