Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data /:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Utrecht ; Boston :
VSP,
2000.
|
| Schriftenreihe: | Inverse and ill-posed problems series.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource (130 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9783110920314 311092031X |
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| 505 | 0 | |a Chapter 1. Introduction -- 1.1. Notation and basic definitions -- 1.2. Translation equivalence of projections. Preliminary results -- Chapter 2. SO(2)-congruence of projections -- 2.1. The case of convex bodies -- 2.2. An attempt to relax the asymmetry conditions -- 2.3. The case of (n -- 2)-visible and (n -- 2)-convex bodies -- 2.4. Stability estimates for recovering the shapes of convex bodies from the shapes of their projections -- Chapter 3. Other groups of congruences of projections -- 3.1. SO(2)-similarity of projections -- 3.2. SO(3)-congruence of projections | |
| 505 | 8 | |a 3.3. SU(2) and U-congruence of projectionsChapter 4. Apparent contours and other tomography-type projection data -- 4.1. Reconstruction of surfaces from the shapes of their apparent contours and the stationary phase observations -- 4.2. Inversion formulae for integral geometry problems and an algorithm of computerized tomography -- 4.3. An inverse problem for the Hamilton-Jacobi equations -- 4.4. Inverse problems for one class of the tomography-type evolution equations -- Bibliography | |
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| author | Golubyatnikov, V. P. (Vladimir P.) |
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| contents | Chapter 1. Introduction -- 1.1. Notation and basic definitions -- 1.2. Translation equivalence of projections. Preliminary results -- Chapter 2. SO(2)-congruence of projections -- 2.1. The case of convex bodies -- 2.2. An attempt to relax the asymmetry conditions -- 2.3. The case of (n -- 2)-visible and (n -- 2)-convex bodies -- 2.4. Stability estimates for recovering the shapes of convex bodies from the shapes of their projections -- Chapter 3. Other groups of congruences of projections -- 3.1. SO(2)-similarity of projections -- 3.2. SO(3)-congruence of projections 3.3. SU(2) and U-congruence of projectionsChapter 4. Apparent contours and other tomography-type projection data -- 4.1. Reconstruction of surfaces from the shapes of their apparent contours and the stationary phase observations -- 4.2. Inversion formulae for integral geometry problems and an algorithm of computerized tomography -- 4.3. An inverse problem for the Hamilton-Jacobi equations -- 4.4. Inverse problems for one class of the tomography-type evolution equations -- Bibliography |
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| spelling | Golubyatnikov, V. P. (Vladimir P.), author. https://id.oclc.org/worldcat/entity/E39PCjv4JYgjBgctrg4XfY63gq http://id.loc.gov/authorities/names/n2001015729 Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / V.P. Golubyatnikov. Utrecht ; Boston : VSP, 2000. 1 online resource (130 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Inverse and ill-posed problems series Includes bibliographical references. Print version record. Chapter 1. Introduction -- 1.1. Notation and basic definitions -- 1.2. Translation equivalence of projections. Preliminary results -- Chapter 2. SO(2)-congruence of projections -- 2.1. The case of convex bodies -- 2.2. An attempt to relax the asymmetry conditions -- 2.3. The case of (n -- 2)-visible and (n -- 2)-convex bodies -- 2.4. Stability estimates for recovering the shapes of convex bodies from the shapes of their projections -- Chapter 3. Other groups of congruences of projections -- 3.1. SO(2)-similarity of projections -- 3.2. SO(3)-congruence of projections 3.3. SU(2) and U-congruence of projectionsChapter 4. Apparent contours and other tomography-type projection data -- 4.1. Reconstruction of surfaces from the shapes of their apparent contours and the stationary phase observations -- 4.2. Inversion formulae for integral geometry problems and an algorithm of computerized tomography -- 4.3. An inverse problem for the Hamilton-Jacobi equations -- 4.4. Inverse problems for one class of the tomography-type evolution equations -- Bibliography Geometric tomography. http://id.loc.gov/authorities/subjects/sh94007436 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Tomographie (Mathématiques) Problèmes inverses (Équations différentielles) MATHEMATICS Geometry General. bisacsh Geometric tomography fast Inverse problems (Differential equations) fast has work: Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data (Text) https://id.oclc.org/worldcat/entity/E39PCGjFv96mCBmvmxMJyWyHP3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Golubyatnikov, V.P. Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data. Utrecht : VSP, 2000 120 pages ; 26 cm. Inverse and ill-posed problems series 9789067643320 (DLC) 2001272894 Inverse and ill-posed problems series. http://id.loc.gov/authorities/names/no95046818 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=832694 Volltext |
| spellingShingle | Golubyatnikov, V. P. (Vladimir P.) Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / Inverse and ill-posed problems series. Chapter 1. Introduction -- 1.1. Notation and basic definitions -- 1.2. Translation equivalence of projections. Preliminary results -- Chapter 2. SO(2)-congruence of projections -- 2.1. The case of convex bodies -- 2.2. An attempt to relax the asymmetry conditions -- 2.3. The case of (n -- 2)-visible and (n -- 2)-convex bodies -- 2.4. Stability estimates for recovering the shapes of convex bodies from the shapes of their projections -- Chapter 3. Other groups of congruences of projections -- 3.1. SO(2)-similarity of projections -- 3.2. SO(3)-congruence of projections 3.3. SU(2) and U-congruence of projectionsChapter 4. Apparent contours and other tomography-type projection data -- 4.1. Reconstruction of surfaces from the shapes of their apparent contours and the stationary phase observations -- 4.2. Inversion formulae for integral geometry problems and an algorithm of computerized tomography -- 4.3. An inverse problem for the Hamilton-Jacobi equations -- 4.4. Inverse problems for one class of the tomography-type evolution equations -- Bibliography Geometric tomography. http://id.loc.gov/authorities/subjects/sh94007436 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Tomographie (Mathématiques) Problèmes inverses (Équations différentielles) MATHEMATICS Geometry General. bisacsh Geometric tomography fast Inverse problems (Differential equations) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh94007436 http://id.loc.gov/authorities/subjects/sh85067684 |
| title | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / |
| title_auth | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / |
| title_exact_search | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / |
| title_full | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / V.P. Golubyatnikov. |
| title_fullStr | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / V.P. Golubyatnikov. |
| title_full_unstemmed | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / V.P. Golubyatnikov. |
| title_short | Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / |
| title_sort | uniqueness questions in reconstruction of multidimensional objects from tomography type projection data |
| topic | Geometric tomography. http://id.loc.gov/authorities/subjects/sh94007436 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Tomographie (Mathématiques) Problèmes inverses (Équations différentielles) MATHEMATICS Geometry General. bisacsh Geometric tomography fast Inverse problems (Differential equations) fast |
| topic_facet | Geometric tomography. Inverse problems (Differential equations) Tomographie (Mathématiques) Problèmes inverses (Équations différentielles) MATHEMATICS Geometry General. Geometric tomography |
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