Hyperbolic harmonic brain surface registration with curvature-based landmark matching

Rui Shi, Wei Zeng, Zhengyu Su, Yalin Wang, Hanna Damasio, Zhonglin Lu, Shing Tung Yau, Xianfeng Gu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Brain Cortical surface registration is required for inter-subject studies of functional and anatomical data. Harmonic mapping has been applied for brain mapping, due to its existence, uniqueness, regularity and numerical stability. In order to improve the registration accuracy, sculcal landmarks are usually used as constraints for brain registration. Unfortunately, constrained harmonic mappings may not be diffeomorphic and produces invalid registration. This work conquer this problem by changing the Riemannian metric on the target cortical surface to a hyperbolic metric, so that the harmonic mapping is guaranteed to be a diffeomorphism while the landmark constraints are enforced as boundary matching condition. The computational algorithms are based on the Ricci flow method and hyperbolic heat diffusion. Experimental results demonstrate that, by changing the Riemannian metric, the registrations are always diffeomorphic, with higher qualities in terms of landmark alignment, curvature matching, area distortion and overlapping of region of interests.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages159-170
Number of pages12
Volume7917 LNCS
DOIs
StatePublished - 2013
Event23rd International Conference on Information Processing in Medical Imaging, IPMI 2013 - Asilomar, CA, United States
Duration: Jun 28 2013Jul 3 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7917 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other23rd International Conference on Information Processing in Medical Imaging, IPMI 2013
CountryUnited States
CityAsilomar, CA
Period6/28/137/3/13

Fingerprint

Landmarks
Registration
Brain
Harmonic Mapping
Brain mapping
Harmonic
Curvature
Convergence of numerical methods
Riemannian Metric
Hyperbolic Metric
Heat Diffusion
Ricci Flow
Existence-uniqueness
Computational Algorithm
Numerical Stability
Diffeomorphism
Region of Interest
Overlapping
Alignment
Regularity

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Shi, R., Zeng, W., Su, Z., Wang, Y., Damasio, H., Lu, Z., ... Gu, X. (2013). Hyperbolic harmonic brain surface registration with curvature-based landmark matching. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7917 LNCS, pp. 159-170). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7917 LNCS). https://doi.org/10.1007/978-3-642-38868-2_14

Hyperbolic harmonic brain surface registration with curvature-based landmark matching. / Shi, Rui; Zeng, Wei; Su, Zhengyu; Wang, Yalin; Damasio, Hanna; Lu, Zhonglin; Yau, Shing Tung; Gu, Xianfeng.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 7917 LNCS 2013. p. 159-170 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7917 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shi, R, Zeng, W, Su, Z, Wang, Y, Damasio, H, Lu, Z, Yau, ST & Gu, X 2013, Hyperbolic harmonic brain surface registration with curvature-based landmark matching. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 7917 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7917 LNCS, pp. 159-170, 23rd International Conference on Information Processing in Medical Imaging, IPMI 2013, Asilomar, CA, United States, 6/28/13. https://doi.org/10.1007/978-3-642-38868-2_14
Shi R, Zeng W, Su Z, Wang Y, Damasio H, Lu Z et al. Hyperbolic harmonic brain surface registration with curvature-based landmark matching. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 7917 LNCS. 2013. p. 159-170. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-38868-2_14
Shi, Rui ; Zeng, Wei ; Su, Zhengyu ; Wang, Yalin ; Damasio, Hanna ; Lu, Zhonglin ; Yau, Shing Tung ; Gu, Xianfeng. / Hyperbolic harmonic brain surface registration with curvature-based landmark matching. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 7917 LNCS 2013. pp. 159-170 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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