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Minimization of a Mumford-Shah Model for X-ray Tomography (Paperback)
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Minimization of a Mumford-Shah Model for X-ray Tomography (Paperback)
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Total price: R1,796
Discovery Miles: 17 960
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In this work we tread upon the classical two-dimensional X-ray
tomography problem modeled by the Radon transform. We have focused
on the problem of simultaneously inverting the Radon transform and
segmenting the density distribution into homogeneous regions
directly from the sinogram data i.e. from the attenuation data of
X-rays passing through the body. We have used modified Mumford-Shah
model for piecewise constant densities. The segmenting curves are
described by a suitable level-set function and the problem of
optimal adjustment of the curves to the actual contours of objects
in the density distribution is achieved combining shape sensitivity
techniques with level-set based transport of geometrical objects.
The novel contribution of this work is the use of second order
shape sensitivity analysis to construct a Newton-type descend
direction for the solution of the resulting shape optimization
problem. To construct an algorithm which performs the
reconstruction and segmentation simultaneously from the measured
data was the prime motivation of this work.
General
Imprint: |
VDM Verlag
|
Country of origin: |
Germany |
Release date: |
April 2010 |
First published: |
April 2010 |
Authors: |
Muhammad Asad Meraj
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Dimensions: |
229 x 152 x 10mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
168 |
ISBN-13: |
978-3-639-24754-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
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LSN: |
3-639-24754-X |
Barcode: |
9783639247541 |
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