Numerical solution of inverse problems in 2D and 3D imaging
| Thesis title in Czech: | Numerical solution of inverse problems in 2D and 3D imaging |
|---|---|
| Thesis title in English: | Numerické řešení inverzních problémů v 2D a 3D zobrazování |
| Key words: | inverzní problémy, šum, regularizace, iterační metody, rekonstrukce obrazu |
| English key words: | inverse problems, noise, regularization, iterative methods, image reconstruction |
| Academic year of topic announcement: | 2018/2019 |
| Thesis type: | dissertation |
| Thesis language: | čeština |
| Department: | Department of Numerical Mathematics (32-KNM) |
| Supervisor: | doc. RNDr. Iveta Hnětynková, Ph.D. |
| Author: | RNDr. Eva Havelková - assigned and confirmed by the Study Dept. |
| Date of registration: | 17.06.2019 |
| Date of assignment: | 17.06.2019 |
| Confirmed by Study dept. on: | 04.10.2019 |
| Guidelines |
| The goal of this thesis is to study selected regularization methods for the solution of noise-contaminated ill-posed inverse problems arising in 2D and 3D imaging applications. The questions to be studied include in particular development and analysis of reliable iterative regularization approaches and denoising techniques. Various aspects related to their performance in finite precison computations will be studied. |
| References |
| R.C. Gonzalez, R.E. Woods: Digital Image Processing, Pearson Education, 2018
R.C. Gonzalez, R.E. Woods, S.L. Eddings: Digital Image Processing Using MATLAB, Pearson Education, 2009 P.C. Hansen: Discrete Inverse Problems: Insight and Algorithms, SIAM, 2010 F. Natterer, F. Wübbeling: Mathematical Methods in Image Reconstruction, SIAM, 2001 C.R. Vogel: Computational Methods for Inverse Problems, SIAM, 2002 |