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2006

Shape Registration in Implicit Spaces Using Information Theory and Free Form Deformations

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Shape Registration in Implicit Spaces Using Information Theory and Free Form Deformations
We present a novel variational and statistical approach for shape registration. Shapes of interest are implicitly embedded in a higher dimensional space of distance transforms. In this implicit embedding space, registration is formulated in a hierarchical manner: the Mutual Information criterion supports various transformation models and is optimized to perform global registration; then a B-spline based Incremental Free Form Deformations (IFFD) model is used to minimize a Sum-of-Squared-Differences (SSD) measure and further recover a dense local nonrigid registration field. The key advantage of such framework is twofold: (1) it naturally deals with shapes of arbitrary dimension (2D, 3D or higher) and arbitrary topology (multiple parts, closed/open), and (2) it preserves shape topology during local deformation, and produces local registration fields that are smooth, continuous and establish one-to-one correspondences. Its invariance to initial conditions is evaluated through empirical ...
Xiaolei Huang, Nikos Paragios, Dimitris N. Metaxas
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2006
Where PAMI
Authors Xiaolei Huang, Nikos Paragios, Dimitris N. Metaxas
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