A New Variational Framework for Rigid-Body Alignment

Kato, T; Tsuda, K; Tomii, K; Asai, K

doi:10.1007/978-3-540-27868-9_17

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A New Variational Framework for Rigid-Body Alignment

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Tsuda, K
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;
Max Planck Institute for Biological Cybernetics, Max Planck Society;

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引用

Kato, T., Tsuda, K., Tomii, K., & Asai, K. (2004). A New Variational Framework for Rigid-Body Alignment. In A., Fred, T., Caelli, R., Duin, A., Campilho, & D., de Ridder (Eds.), Structural, Syntactic, and Statistical Pattern Recognition: Joint IAPR International Workshops, SSPR 2004 and SPR 2004, Lisbon, Portugal, August 18-20, 2004 (pp. 171-179). Berlin, Germany: Springer.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-F3AD-A

要旨

We present a novel algorithm for estimating the rigid-body transformation of a sequence of coordinates, aiming at the application to protein structures. Basically the sequence is modeled as a hidden Markov model where each state outputs an ellipsoidal Gaussian. Since maximum likelihood estimation requires to solve a complicated optimization problem, we introduce a variational estimation technique, which performs singular value decomposition in each step. Our probabilistic algorithm allows to superimpose a number of sequences which are rotated and translated in arbitrary ways.