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Optimal control approach to image re...

The University of Texas at Arlington., Mathematics.

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Optimal control approach to image registration.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Optimal control approach to image registration./
作者:	Salako, Stephen Taiwo.
面頁冊數:	67 p.
附註:	Source: Dissertation Abstracts International, Volume: 71-03, Section: B, page: 1748.
Contained By:	Dissertation Abstracts International71-03B.
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3391429
ISBN:	9781109637090

Optimal control approach to image registration.
Salako, Stephen Taiwo.

Optimal control approach to image registration. - 67 p.

Source: Dissertation Abstracts International, Volume: 71-03, Section: B, page: 1748.

Thesis (Ph.D.)--The University of Texas at Arlington, 2009.

The purpose of this dissertation is twofold: To present a new method of orthogonal grid generation and to investigate certain theoretical aspects of the optimal control approach to the image registration problem.

ISBN: 9781109637090Subjects--Topical Terms:

1669109
Applied Mathematics.

Optimal control approach to image registration.
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500 $a Source: Dissertation Abstracts International, Volume: 71-03, Section: B, page: 1748.
500 $a Adviser: Guojun Liao.
502 $a Thesis (Ph.D.)--The University of Texas at Arlington, 2009.
520 $a The purpose of this dissertation is twofold: To present a new method of orthogonal grid generation and to investigate certain theoretical aspects of the optimal control approach to the image registration problem.
520 $a In the first part of this dissertation, we will present a variational method of orthogonal grid generation which is based on the deformation method and solving Euler-Lagrange equations. Although the concept of grid generation has been studied extensively, the generation of orthogonal grids is still one of the most challenging problems of the grid generation methods.
520 $a An orthogonal grid should offer significant advantages in the solution of systems of partial differential equations. Previous work requires a uniform grid to improve the orthogonality of grids. The grid deformation method provides size control via a monitor function but it has no control over gridline orthogonality.
520 $a Our approach is to improve orthogonality while providing size distribution by the deformation method.
520 $a In the second part, we replace the cost functional in the orthogonality problem with the sum of squared differences known as SSD to solve the Image registration problem.
520 $a Image registration is a significant part of image processing. It is a process of finding an optimal geometric transformation between corresponding pixels that minimizes the SSD. In this optimal control approach, we use the grid deformation equations as constraints.
520 $a In this dissertation, we prove the existence of optimal solutions using the direct method in the calculus of variations; discuss the non-uniqueness of solutions and the existence of Lagrange multipliers of the optimal control problem for image registration using an abstract theorem concerning the existence of Lagrange multipliers on Banach spaces.
590 $a School code: 2502.
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710 2 $a The University of Texas at Arlington. $b Mathematics. $3 1682219
773 0 $t Dissertation Abstracts International $g 71-03B.
790 1 0 $a Liao, Guojun, $e advisor
790 1 0 $a Kojouharov, Hristo $e committee member
790 1 0 $a Aktosun, Tuncay $e committee member
790 1 0 $a Liu, David $e committee member
790 1 0 $a Pankavich, Stephen $e committee member
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791 $a Ph.D.
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