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بازسازی تصاویر پزشکی با استفاده از فیلتر کالمن
گلیایی، شایان Golyaei, Shayan
Cataloging brief
بازسازی تصاویر پزشکی با استفاده از فیلتر کالمن
پدیدآور اصلی :
گلیایی، شایان Golyaei, Shayan
ناشر :
صنعتی شریف
سال انتشار :
1389
موضوع ها :
تصاویر پزشکی Medical Images نوفه Noise بازسازی Reconstruction فیلترهای کالمن Kalman...
شماره راهنما :
55-41617
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Introduction
(11)
In 1960, R.E. Kalman [13] expressed a set of stochastic equations for describing a recursive solution to the discrete-data linear filtering problem known as Kalman filter. Kalman filter is an adaptive filter that provides desirable estimate to the sta...
(13)
Background and Related works
(15)
Representation of images by projections
(15)
Discrete formulation of the reconstruction problem
(17)
/ Figure 2.2 Discretization of the projection scene with parallel projection [1].
(18)
Reconstruction via Frequency Domain
(19)
Reconstruction from Parallel Projections by Filtered Back-Projection
(20)
Reconstruction from Fan Projections
(25)
Algebraic Methods of Reconstruction for fan projection
(30)
Reconstruction under Nonzero Attenuation
(30)
SPECT Type Imaging
(31)
PET Type Imaging
(34)
Reconstruction from Stochastic Projections
(34)
Stochastic Models of Projections
(35)
Principle of Maximum-Likelihood Reconstruction
(37)
Image Reconstruction using morphological operation
(39)
Image Reconstruction using wiener filtering
(40)
Motivation
(41)
Proposed Method
(41)
Kalman Filter
(43)
Statement of the Kalman Filtering Problem
(44)
The Innovation Process
(45)
Correlation Matrix of the Innovation process
(45)
Estimation of State Using the Innovation Process
(46)
Kalman Gain
(47)
Riccati Equation solver
(49)
Tomography Image Reconstruction using Kalman filter
(51)
Introduction
(55)
Reconstruction Results for Different Images
(56)
Surface analysis of different Reconstruction images
(60)
Error index analysis
(64)
Reconstruction of blurred image from blurred projection
(65)
References
(71)
