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Direct diffeomorphic reparameterizat...

Li, Kang.

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Direct diffeomorphic reparameterization for correspondence optimization in statistical shape modeling.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Direct diffeomorphic reparameterization for correspondence optimization in statistical shape modeling./
作者:	Li, Kang.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2015,
面頁冊數:	184 p.
附註:	Source: Dissertation Abstracts International, Volume: 76-12(E), Section: B.
Contained By:	Dissertation Abstracts International76-12B(E).
標題:	Mechanical engineering. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3715691
ISBN:	9781321939675

Direct diffeomorphic reparameterization for correspondence optimization in statistical shape modeling.
Li, Kang.

Direct diffeomorphic reparameterization for correspondence optimization in statistical shape modeling. - Ann Arbor : ProQuest Dissertations & Theses, 2015 - 184 p.

Source: Dissertation Abstracts International, Volume: 76-12(E), Section: B.

Thesis (Ph.D.)--Illinois Institute of Technology, 2015.

This dissertation proposes an efficient optimization approach for obtaining shape correspondence across a group of objects for statistical shape modeling. With each shape represented in a B-spline based parametric form, the correspondence across the shape population is cast as an issue of seeking a reparametrization for each shape so that a quality measure of the resulting shape correspondence across the group is optimized. The quality measure is the description length of covariance matrix of the shape population, with landmarks sampled on each shape. The movement of landmarks on each B-spline shape is controlled by the reparameterization of the B-spline shape. A gradient-based optimization approach is developed, including techniques such as constraint aggregation and adjoint senstivity for efficient, direct diffeomorphic reparameterization of landmarks. Numerical experiments on both synthetic and real 2D and 3D data sets demonstrate the efficiency and effectiveness of the proposed approach.

ISBN: 9781321939675Subjects--Topical Terms:

649730
Mechanical engineering.

Direct diffeomorphic reparameterization for correspondence optimization in statistical shape modeling.
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