MS-Th-BC-46
Inverse Problems for Image Reconstruction and Processing - Part III of IV
For Part I, see MS-We-D-46
For Part II, see MS-We-E-46
For Part IV, see MS-Th-D-46

Date: August 13
Time: 10:00--12:00
Room: 306B

(Note: Click title to show the abstract.)

Organizer:
Wei, Suhua (Inst. of Applied Physics & Computational Mathematics)
Nikolova, Mila (CMLA, CNRS - ENS Cachan)
Tai, Xue-Cheng (Department of Mathematics, Univ. of Bergen)
Shi, Yuying (North China Electric Power Univ.)

Abstract: Many image reconstruction tasks amount to solve ill-posed inverse problems. Indeed, measurement devices typically cannot record all the information needed to recover the sought-after object; furthermore, the operators that model these devices are seldom accurate and data are corrupted by various perturbations. A common approach to find an approximate to the unknown object is regularization. The key points are the correct choices of the data fidelity term and the regularization term, as well as the trade-off between these terms. This is a challenging problem since the optimal solutions of the whole functional should correctly reflect the knowledge on the data-production process and the priors on the unknown object. The optimal solutions usually cannot be computed explicitly and iterative schemes are used.
This symposium focus on imaging inverse problemsí» mathematical models, numerical algorithms, theoretical analysis and various applications, especially, applied to CT reconstruction and some processing techniques for images.


MS-Th-BC-46-1
10:00--10:30
High-order Total Variation Regularization Approach for Axially Symmetric Object Tomography from a Single Radiograph
Chan, Raymond (The Chinese Univ. of Hong Kong)
Wei, Suhua (Inst. of Applied Physics & Computational Mathematics)
Nikolova, Mila (CMLA, CNRS - ENS Cachan)
Tai, Xue-Cheng (Department of Mathematics, Univ. of Bergen)


MS-Th-BC-46-2
10:30--11:00
On some refined variational models for restoration of blurred images
Chen, Ke (Univ. of Liverpool)
Williams, Bryan (Univ. of Liverpool)
Zhang, Jianping (Univ. of Liverpool)


MS-Th-BC-46-3
11:00--11:30
A Nonlinear Variational Approach to Motion-Corrected Reconstruction of Density Images
Suhr, Sebastian (Univ. of Muenster)


MS-Th-BC-46-4
11:30--12:00
Tomography From Few Projections: Weak Guarantees and Applications
Petra, Stefania (Univ. of Heidelberg)

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Footnote:
Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA