Reconstruction methods for sparse-data X-ray tomography/ (Record no. 36576)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03229n a2200301#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 37915 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140604.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180118s2017 bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | cs |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Congressos e Seminários. |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Siltanen, Samuli |
| Affiliation | (University of Helsinki, Finland) |
| 9 (RLIN) | 9380 |
| 245 10 - TITLE STATEMENT | |
| Title | Reconstruction methods for sparse-data X-ray tomography/ |
| Statement of responsibility, etc. | Samuli Siltanen. |
| 246 1# - VARYING FORM OF TITLE | |
| Title proper/short title | Minicurso: Reconstruction methods for sparse-data X-ray tomography |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | Minicurso - 3 aulas |
| 505 2# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | X-ray tomography is an imaging method where an unknown physical body is photographed from many directions using X-rays. The X-rays passing through the object lose their intensity exponentially in proportion to the density of the material along the ray according to the Beer-Lambert law. After a calibration step one arrives at the following mathematical problem: can one recover a non-negative, compactly supported function from the knowledge of integrals of that function along lines? Johann Radon showed in his seminal 1917 article how to do that in dimension two when all possible line integrals are known. Radons geometric reconstruction formula serves as the foundation of todays Computerized Tomography (CT) scanners in hospitals in the form of the Filtered Back-Projection (FBP) algorithm. FBP is based on inverting the so-called Radon transform. Recently, there is growing interest in X-ray tomography imaging based on limited data. The main reason for this is the need to limit the harmful radiation dose to the patient. Mathematically, the problem of recovering a function from an incomplete set of line integrals is an example of a linear ill-posed inverse problem. Illposedness means that the reconstruction problem is extremely sensitive to measurement noise and modelling errors. In such situations the FBP algorithm is not optimal. This course discusses variational regularisation methods for limited-data X-ray tomography, including classical Tikhonov regularisation and modern sparsitypromoting algorithms such as Total Variation regularization. The core idea behind these methods is complementing the insufficient measurement data by additional information about the unknown function. The methods presented in the course are applicable to any linear illposed inverse problems. Also, they can be extended to nonlinear cases. |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Congressos e Seminários. |
| Linkage | 23755 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | AULA 1 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=SFHFugs21qY&index=1&list=PLo4jXE-LdDTQmU66tIMLtjdIKjwV_XjiT">https://www.youtube.com/watch?v=SFHFugs21qY&index=1&list=PLo4jXE-LdDTQmU66tIMLtjdIKjwV_XjiT</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | AULA 2 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=Nl8PBI72ygg&index=2&list=PLo4jXE-LdDTQmU66tIMLtjdIKjwV_XjiT">https://www.youtube.com/watch?v=Nl8PBI72ygg&index=2&list=PLo4jXE-LdDTQmU66tIMLtjdIKjwV_XjiT</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | AULA 3 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=69HA1t0SsQg&index=3&list=PLo4jXE-LdDTQmU66tIMLtjdIKjwV_XjiT">https://www.youtube.com/watch?v=69HA1t0SsQg&index=3&list=PLo4jXE-LdDTQmU66tIMLtjdIKjwV_XjiT</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
No items available.