Reconstruction from integral data. (2016)

• Record Type: Book
• Further Information: Note: Victor Palamodov.
• Authors: Palamodov, V. P (Viktor Pavlovich)
• Contents: Radon Transform; Radon Transform and Inversion; Range Conditions and Frequency Analysis; Support Theorem; Reconstruction of Functions from Attenuated Integrals; Reconstruction of Differential Forms Ray and Line Integral Transforms ; Introduction; Reconstruction from Line Integrals; Range Conditions; Shift-Invariant FBP Reconstruction; Backprojection Filtration Method; Tuy’s Regularized Method; Ray Integrals of Differential Forms; Symmetric Tensors and Differentials; Reconstruction from Ray Integrals Factorization Method ; Factorable Maps; Spaces of Constant Curvature; Funk Transform on the Orthogonal Group; Reconstruction from Non-Redundant Data; Range Conditions General Method of Reconstruction ; Geometric Integral Transforms; Reconstruction; Integral Transforms with Weights; Resolved Generating Functions; Analysis of Convergence; Wave Front of Integral Transform Applications to Classical Geometries ; Minkowski–Funk Transform; Nongeodesic Hyperplane Sections of a Sphere; Totally Geodesic Transform in Hyperbolic Spaces; Horospherical Transform; Hyperboloids; Cormack’s Curves; Confocal Paraboloids; Cassini Ovals and Ovaloids Applications to the Spherical Mean Transform ; Oscillatory Sets; Reconstruction; Examples; Time Reversal Structure; Boundary Isometry for Waves in a Cavity; Range Conditions; Spheres Tangent to a Hyperplane; Summary of Spherical Mean Transform Appendix Bibliographic notes appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2016
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 516.362; Integral geometry; Image reconstruction
• Languages: English
• ISBNs: 9781498710114
• Related ISBNs: 9781498710107
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.