Celebratio Mathematica — Hass — Complete Bibliography

Complete Bibliography

Works connected to Phong Vuong

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A. Tsui, D. Fenton, P. Vuong, J. Hass, P. Koehl, N. Amenta, D. Coeurjolly, C. DeCarli, and O. Carmichael: “Globally optimal cortical surface matching with exact landmark correspondence,” pp. 487–498 in Information processing in medical imaging: 23rd international conference, IPMI 2013 (Asilomar, CA, 28 June–3 July 2013). Edited by J. C. Gee, S. Joshi, K. M. Pohl, W. M. Wells, and L. Zöllei. Lecture Notes in Computer Science 7917. Springer (Berlin), 2013. incollection

We present a method for establishing correspondences between human cortical surfaces that exactly matches the positions of given point landmarks, while attaining the global minimum of an objective function that quantifies how far the mapping deviates from conformality. On each surface, a conformal transformation is applied to the Euclidean distance metric, resulting in a hyperbolic metric with isolated cone point singularities at the landmarks. Equivalently, each surface is mapped to a hyperbolic orbifold: a pillow-like surface with each point landmark corresponding to a pillow corner. An initial surface-to-surface mapping exactly aligns the landmarks, and gradient descent is used to find the single, global minimum of the Dirichlet energy of the remainder of the mapping. Using a population of real MRI-based cortical surfaces with manually labeled sulcus endpoints as landmarks, we evaluate the approach by how much it distorts surfaces and by its biological plausibility: how well it aligns previously-unseen anatomical landmarks and by how well it promotes expected associations between cortical thickness and age. We show that, compared to a painstakingly-tuned approach that balances a tradeoff between minimizing landmark mismatch and Dirichlet energy, our method has similar biological plausibility, superior surface distortion, a better theoretical foundation, and fewer arbitrary parameters to tune. We also compare to conformal mapper in the spherical domain to show that sacrificing exact conformality of the mapping does not cause noticeable reductions in biological plausibility.

Padmini Joshi	Related
Alex Tsui	Related
Phong Vuong	Related
Nina Amenta	Related
Owen Carmichael	Related
David Coeurjolly	Related
Charles DeCarli	Related
David Fenton	Related
Patrice Koehl	Related

@incollection {key76348359,
	AUTHOR = {Tsui, Alex and Fenton, Devin and Vuong,
		 Phong and Hass, Joel and Koehl, Patrice
		 and Amenta, Nina and Coeurjolly, David
		 and DeCarli, Charles and Carmichael,
		 Owen},
	TITLE = {Globally optimal cortical surface matching
		 with exact landmark correspondence},
	BOOKTITLE = {Information processing in medical imaging:
		 23rd international conference, {IPMI}
		 2013},
	EDITOR = {Gee, James C. and Joshi, Sarang and
		 Pohl, Kilian M. and Wells, William M.
		 and Z\"ollei, Lilla},
	SERIES = {Lecture Notes in Computer Science},
	NUMBER = {7917},
	PUBLISHER = {Springer},
	ADDRESS = {Berlin},
	YEAR = {2013},
	PAGES = {487--498},
	DOI = {10.1007/978-3-642-38868-2_41},
	NOTE = {(Asilomar, CA, 28 June--3 July 2013).},
	ISSN = {0302-9743},
	ISBN = {9783642388675},
}