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Interactive medical image registrati...

Wu, Baohua.

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Interactive medical image registration with multigrid methods and bounded biharmonic functions.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Interactive medical image registration with multigrid methods and bounded biharmonic functions./
作者:	Wu, Baohua.
面頁冊數:	144 p.
附註:	Source: Dissertation Abstracts International, Volume: 76-01(E), Section: B.
Contained By:	Dissertation Abstracts International76-01B(E).
標題:	Computer science. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3634221
ISBN:	9781321144857

Interactive medical image registration with multigrid methods and bounded biharmonic functions.
Wu, Baohua.

Interactive medical image registration with multigrid methods and bounded biharmonic functions. - 144 p.

Source: Dissertation Abstracts International, Volume: 76-01(E), Section: B.

Thesis (Ph.D.)--University of Pennsylvania, 2014.

This item is not available from ProQuest Dissertations & Theses.

Interactive image registration is important in some medical applications since automatic image registration is often slow and sometimes error-prone. We consider interactive registration methods that incorporate user-specified local transforms around control handles. The deformation between handles is interpolated by some smooth functions, minimizing some variational energies. Besides smoothness, we expect the impact of a control handle to be local. Therefore we choose bounded biharmonic weight functions to blend local transforms, a cutting-edge technique in computer graphics. However, medical images are usually huge, and this technique takes a lot of time that makes itself impracticable for interactive image registration.

ISBN: 9781321144857Subjects--Topical Terms:

523869
Computer science.

Interactive medical image registration with multigrid methods and bounded biharmonic functions.
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245 1 0 $a Interactive medical image registration with multigrid methods and bounded biharmonic functions.
300 $a 144 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-01(E), Section: B.
500 $a Advisers: James C. Gee; Norman I. Badler.
502 $a Thesis (Ph.D.)--University of Pennsylvania, 2014.
506 $a This item is not available from ProQuest Dissertations & Theses.
506 $a This item must not be sold to any third party vendors.
520 $a Interactive image registration is important in some medical applications since automatic image registration is often slow and sometimes error-prone. We consider interactive registration methods that incorporate user-specified local transforms around control handles. The deformation between handles is interpolated by some smooth functions, minimizing some variational energies. Besides smoothness, we expect the impact of a control handle to be local. Therefore we choose bounded biharmonic weight functions to blend local transforms, a cutting-edge technique in computer graphics. However, medical images are usually huge, and this technique takes a lot of time that makes itself impracticable for interactive image registration.
520 $a To expedite this process, we use a multigrid active set method to solve bounded biharmonic functions (BBF). The multigrid approach is for two scenarios, refining the active set from coarse to fine resolutions, and solving the linear systems constrained by working active sets. We've implemented both weighted Jacobi method and successive over-relaxation (SOR) in the multigrid solver. Since the problem has box constraints, we cannot directly use regular updates in Jacobi and SOR methods. Instead, we choose a descent step size and clamp the update to satisfy the box constraints. We explore the ways to choose step sizes and discuss their relation to the spectral radii of the iteration matrices. The relaxation factors, which are closely related to step sizes, are estimated by analyzing the eigenvalues of the bilaplacian matrices. We give a proof about the termination of our algorithm and provide some theoretical error bounds.
520 $a Another minor problem we address is to register big images on GPU with limited memory. We've implemented an image registration algorithm with virtual image slices on GPU. An image slice is treated similarly to a page in virtual memory. We execute a wavefront of subtasks together to reduce the number of data transfers.
520 $a Our main contribution is a fast multigrid method for interactive medical image registration that uses bounded biharmonic functions to blend local transforms. We report a novel multigrid approach to refine active set quickly and use clamped updates based on weighted Jacobi and SOR. This multigrid method can be used to efficiently solve other quadratic programs that have active sets distributed over continuous regions.
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650 4 $a Medical imaging. $3 3172799
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710 2 $a University of Pennsylvania. $b Computer and Information Science. $3 2092564
773 0 $t Dissertation Abstracts International $g 76-01B(E).
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791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3634221