Volumetric Medical Image Registration Using a Three Dimension Closed Incompressible Viscous Fluid Model

碩士 === 國立臺灣大學 === 工程科學及海洋工程學研究所 === 105 === Image registration is very important for a wide variety of image processing applications in engineering and medicine. It provides lots of precious information for further analysis in many fields. Image registration is the process of transforming different...

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Bibliographic Details
Main Authors: Yu-Hsuan Chao, 趙祐萱
Other Authors: 張恆華
Format: Others
Language:zh-TW
Published: 2017
Online Access:http://ndltd.ncl.edu.tw/handle/m47385
Description
Summary:碩士 === 國立臺灣大學 === 工程科學及海洋工程學研究所 === 105 === Image registration is very important for a wide variety of image processing applications in engineering and medicine. It provides lots of precious information for further analysis in many fields. Image registration is the process of transforming different images into one coordinate system. We propose a three-dimensional closed incompressible viscous fluid image registration algorithm and develop its numerical methods. The core component of solving the viscous fluid model is the partial differential equations (PDEs). The common way to solve the PDF is approximating it using the finite second order differential followed by the Cholesky algorithm to solve the linear formulas. However, the computation complexity will be tremendous and the memory usage will be unbearable. In addition, if the template image has vertical-direction deformation, the two-dimensional method will not be able to handle this situation. We employ the alternating-direction implicit (ADI) and Hopscotch as the numerical methods to solve the PDE of the three-dimensional viscous fluid model. A wide variety of magnetic resonance images were used to evaluate this new method. Experimental results indicated that the proposed method not only successfully performed registration but also provided excellent accuracy. The computation time and the memory usage have been dramatically reduced as well.