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Analytic tomography / Andrew Markoe
| Analytic tomography / Andrew Markoe |
| Autore | Markoe, Andrew |
| Pubbl/distr/stampa | New York : Cambridge University Press, 2006 |
| Descrizione fisica | viii, 400 p. : ill. ; 24 cm |
| Disciplina | 515.723 |
| Collana | Encyclopedia of mathematics and its applications ; 106 |
| Soggetto topico |
Radon transforms
Geometric tomography |
| ISBN | 0521793475 |
| Classificazione |
AMS 44A12
AMS 92C55 LC QA672.M37 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001632659707536 |
Markoe, Andrew
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| New York : Cambridge University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Computer modelling in tomography and ill-posed problems / / M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
| Computer modelling in tomography and ill-posed problems / / M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov |
| Autore | Lavrentʹev M. M (Mikhail Mikhaĭlovich) |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (136 pages) : illustrations |
| Disciplina | 516 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Geometric tomography
Inverse problems (Differential equations) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-094093-0 |
| Classificazione | ST 640 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Chapter 1. Mathematical basis of the method of computerized -- tomography 11 -- 1.1. Basic notions of the theory of ill-posed problems11 -- 1.2. Problem of integral geometry16 -- 1.3. The Radon transform18 -- 1.4. Radon problem as an example of an ill-posed problem20 -- 1.5. The algorithm of inversion of the two-dimensional Radon -- transform based on the convolution with the generalized -- function l/z225 -- Chapter 2. Cone-beam tomography reconstruction 33 -- 2.1. Reducing the inversion formulas of cone-beam tomography recont -- struction to the form convenient for constructing numerical -- algorithm s33 -- 2.2. Elements of the theory of generalized functions in application to -- problems of inversion of the ray transformation45 -- 2.3. The relations between the Radon, Fourier, -- and ray transformations51 -- Chapter 3. Inverse kinematic problem -- in the tomographic setting 55 -- 3.1. Direct kinematic problem and numerical solution -- for three-dimensional regular media55 -- 3.2. Formulation of the inverse kinematic problem with the use of -- a tomography system of data gathering66 -- 3.3. Deduction of the basic inversion formula and the algorithm of -- solving the inverse kinematic problem in -- three-dimensional linearized formulation68 -- 3.4. Model experiment and numerical study of the algorithm79 -- 3.5. Solution of the inverse kinematic problem by the method of -- computerized tomography for media with opaque inclusions 98 -- Appendix: Reconstruction with the use -- of the standard model 112 -- Bibliography 119. |
| Record Nr. | UNINA-9910463726303321 |
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Lavrentʹev M. M (Mikhail Mikhaĭlovich)
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computer modelling in tomography and ill-posed problems / / M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
| Computer modelling in tomography and ill-posed problems / / M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov |
| Autore | Lavrentʹev M. M (Mikhail Mikhaĭlovich) |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (136 pages) : illustrations |
| Disciplina | 516 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Geometric tomography
Inverse problems (Differential equations) |
| Soggetto non controllato |
Algorithms
Calculation Mathematics Cone-beam Ill-posed Problems Inverse Kinematic Problem Regularization Tomography |
| ISBN | 3-11-094093-0 |
| Classificazione | ST 640 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Chapter 1. Mathematical basis of the method of computerized -- tomography 11 -- 1.1. Basic notions of the theory of ill-posed problems11 -- 1.2. Problem of integral geometry16 -- 1.3. The Radon transform18 -- 1.4. Radon problem as an example of an ill-posed problem20 -- 1.5. The algorithm of inversion of the two-dimensional Radon -- transform based on the convolution with the generalized -- function l/z225 -- Chapter 2. Cone-beam tomography reconstruction 33 -- 2.1. Reducing the inversion formulas of cone-beam tomography recont -- struction to the form convenient for constructing numerical -- algorithm s33 -- 2.2. Elements of the theory of generalized functions in application to -- problems of inversion of the ray transformation45 -- 2.3. The relations between the Radon, Fourier, -- and ray transformations51 -- Chapter 3. Inverse kinematic problem -- in the tomographic setting 55 -- 3.1. Direct kinematic problem and numerical solution -- for three-dimensional regular media55 -- 3.2. Formulation of the inverse kinematic problem with the use of -- a tomography system of data gathering66 -- 3.3. Deduction of the basic inversion formula and the algorithm of -- solving the inverse kinematic problem in -- three-dimensional linearized formulation68 -- 3.4. Model experiment and numerical study of the algorithm79 -- 3.5. Solution of the inverse kinematic problem by the method of -- computerized tomography for media with opaque inclusions 98 -- Appendix: Reconstruction with the use -- of the standard model 112 -- Bibliography 119. |
| Record Nr. | UNINA-9910788955503321 |
|
Lavrentʹev M. M (Mikhail Mikhaĭlovich)
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computer modelling in tomography and ill-posed problems / / M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
| Computer modelling in tomography and ill-posed problems / / M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov |
| Autore | Lavrentʹev M. M (Mikhail Mikhaĭlovich) |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (136 pages) : illustrations |
| Disciplina | 516 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Geometric tomography
Inverse problems (Differential equations) |
| Soggetto non controllato |
Algorithms
Calculation Mathematics Cone-beam Ill-posed Problems Inverse Kinematic Problem Regularization Tomography |
| ISBN | 3-11-094093-0 |
| Classificazione | ST 640 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Chapter 1. Mathematical basis of the method of computerized -- tomography 11 -- 1.1. Basic notions of the theory of ill-posed problems11 -- 1.2. Problem of integral geometry16 -- 1.3. The Radon transform18 -- 1.4. Radon problem as an example of an ill-posed problem20 -- 1.5. The algorithm of inversion of the two-dimensional Radon -- transform based on the convolution with the generalized -- function l/z225 -- Chapter 2. Cone-beam tomography reconstruction 33 -- 2.1. Reducing the inversion formulas of cone-beam tomography recont -- struction to the form convenient for constructing numerical -- algorithm s33 -- 2.2. Elements of the theory of generalized functions in application to -- problems of inversion of the ray transformation45 -- 2.3. The relations between the Radon, Fourier, -- and ray transformations51 -- Chapter 3. Inverse kinematic problem -- in the tomographic setting 55 -- 3.1. Direct kinematic problem and numerical solution -- for three-dimensional regular media55 -- 3.2. Formulation of the inverse kinematic problem with the use of -- a tomography system of data gathering66 -- 3.3. Deduction of the basic inversion formula and the algorithm of -- solving the inverse kinematic problem in -- three-dimensional linearized formulation68 -- 3.4. Model experiment and numerical study of the algorithm79 -- 3.5. Solution of the inverse kinematic problem by the method of -- computerized tomography for media with opaque inclusions 98 -- Appendix: Reconstruction with the use -- of the standard model 112 -- Bibliography 119. |
| Record Nr. | UNINA-9910813739403321 |
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Lavrentʹev M. M (Mikhail Mikhaĭlovich)
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete geometry for computer imagery : 15th IAPR international conference, DGCI 2009, Montreal, Canada, September 30 - October 2, 2009, proceedings / / Srecko Brlek, Christophe Reutenauer, Xavier Provencal (eds.)
| Discrete geometry for computer imagery : 15th IAPR international conference, DGCI 2009, Montreal, Canada, September 30 - October 2, 2009, proceedings / / Srecko Brlek, Christophe Reutenauer, Xavier Provencal (eds.) |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg, : Springer-Verlag, 2009 |
| Descrizione fisica | 1 online resource (XII, 540 p.) |
| Disciplina | 006.601516 |
| Altri autori (Persone) |
BrlekSrecko
ProvencalXavier ReutenauerChristophe |
| Collana | Lecture notes in computer science |
| Soggetto topico |
Discrete geometry - Data processing
Geometric tomography |
| ISBN | 3-642-04397-6 |
| Classificazione |
DAT 756f
SS 4800 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Invited Papers -- Arithmetic Discrete Planes Are Quasicrystals -- Affine Connections, and Midpoint Formation -- Mathematics in Atmospheric Sciences: An Overview -- Discrete Shape Representation, Recognition and Analysis -- On Three Constrained Versions of the Digital Circular Arc Recognition Problem -- Efficient Lattice Width Computation in Arbitrary Dimension -- Convergence of Binomial-Based Derivative Estimation for C 2 Noisy Discretized Curves -- Christoffel and Fibonacci Tiles -- Optimal Partial Tiling of Manhattan Polyominoes -- An Improved Coordinate System for Point Correspondences of 2D Articulated Shapes -- Two Linear-Time Algorithms for Computing the Minimum Length Polygon of a Digital Contour -- Multiscale Discrete Geometry -- Discrete and Combinatorial Tools for Image Segmentation and Analysis -- Vanishing Point Detection with an Intersection Point Neighborhood -- Ellipse Detection with Elemental Subsets -- Multi-Label Simple Points Definition for 3D Images Digital Deformable Model -- Marching Triangle Polygonization for Efficient Surface Reconstruction from Its Distance Transform -- Multivariate Watershed Segmentation of Compositional Data -- Pixel Approximation Errors in Common Watershed Algorithms -- Digital Deformable Model Simulating Active Contours -- Discrete and Combinatorial Topology -- Topology-Preserving Thinning in 2-D Pseudomanifolds -- Discrete Versions of Stokes’ Theorem Based on Families of Weights on Hypercubes -- Distances on Lozenge Tilings -- Jordan Curve Theorems with Respect to Certain Pretopologies on -- Decomposing Cavities in Digital Volumes into Products of Cycles -- Thinning Algorithms as Multivalued -Retractions -- Characterization of Simple Closed Surfaces in ?3: A New Proposition with a Graph-Theoretical Approach -- Border Operator for Generalized Maps -- Computing Homology: A Global Reduction Approach -- Models for Discrete Geometry -- Surface Sketching with a Voxel-Based Skeleton -- Minimal Offsets That Guarantee Maximal or Minimal Connectivity of Digital Curves in nD -- Arithmetization of a Circular Arc -- On the Connecting Thickness of Arithmetical Discrete Planes -- Patterns in Discretized Parabolas and Length Estimation -- Universal Spaces for Surfaces -- A Linear Time and Space Algorithm for Detecting Path Intersection -- Geometric Transforms -- The Curvilinear Skeleton -- A Discrete ?-Medial Axis -- Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms -- Exact, Scaled Image Rotation Using the Finite Radon Transform -- Lower and Upper Bounds for Scaling Factors Used for Integer Approximation of 3D Anisotropic Chamfer Distance Operator -- A Novel Algorithm for Distance Transformation on Irregular Isothetic Grids -- Fully Parallel 3D Thinning Algorithms Based on Sufficient Conditions for Topology Preservation -- Quasi-Affine Transformation in Higher Dimension -- Discrete Tomography -- Solving Some Instances of the 2-Color Problem -- Grey Level Estimation for Discrete Tomography -- The 1-Color Problem and the Brylawski Model. |
| Record Nr. | UNINA-9910484800103321 |
| Berlin ; ; Heidelberg, : Springer-Verlag, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete geometry for computer imagery : 14th IAPR international conference, DGCI 2008, Lyon, France, April 16-18, 2008 : proceedings / / David Coeurjolly [and three others] (editors)
| Discrete geometry for computer imagery : 14th IAPR international conference, DGCI 2008, Lyon, France, April 16-18, 2008 : proceedings / / David Coeurjolly [and three others] (editors) |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2008] |
| Descrizione fisica | 1 online resource (XIII, 558 p.) |
| Disciplina | 006.6869 |
| Collana |
Lecture notes in computer science
LNCS sublibrary. SL 6, Image processing, computer vision, pattern recognition, and graphics |
| Soggetto topico |
Computer graphics
Discrete geometry - Data processing Geometric tomography |
| ISBN | 3-540-79126-4 |
| Classificazione |
004
DAT 756f SS 4800 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Invited Papers -- Digital Geometry Processing with Topological Guarantees -- What Can We Learn from Discrete Images about the Continuous World? -- Weak Rational Computing for Digital Geometry -- Models for Distance Geometry -- A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis -- Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions -- About the Frequencies of Some Patterns in Digital Planes Application to Area Estimators -- Combinatorial View of Digital Convexity -- Decomposition and Construction of Neighbourhood Operations Using Linear Algebra -- Digitally Continuous Multivalued Functions -- Continued Fractions and Digital Lines with Irrational Slopes -- Discrete and Combinational Topology -- New Characterizations of Simple Points, Minimal Non-simple Sets and P-Simple Points in 2D, 3D and 4D Discrete Spaces -- Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale Complexes -- Characterizing and Detecting Toric Loops in n-Dimensional Discrete Toric Spaces -- Insertion and Expansion Operations for n-Dimensional Generalized Maps -- Discrete Complex Structure on Surfel Surfaces -- Minimal Simple Pairs in the Cubic Grid -- Determining Whether a Simplicial 3-Complex Collapses to a 1-Complex Is NP-Complete -- Geometric Transforms -- Medial Axis LUT Computation for Chamfer Norms Using -Polytopes -- Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids – Metricity and Algorithms -- Euclidean Eccentricity Transform by Discrete Arc Paving -- Statistical Template Matching under Geometric Transformations -- Distance Transformation on Two-Dimensional Irregular Isothetic Grids -- Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words -- Segmenting Simplified Surface Skeletons -- Discrete Shape Representation, Recognition and Analysis -- Geometric Feature Estimators for Noisy Discrete Surfaces -- Normals and Curvature Estimation for Digital Surfaces Based on Convolutions -- On Minimal Moment of Inertia Polyominoes -- Gift-Wrapping Based Preimage Computation Algorithm -- Digital Planar Surface Segmentation Using Local Geometric Patterns -- Robust Estimation of Curvature along Digital Contours with Global Optimization -- An Efficient and Quasi Linear Worst-Case Time Algorithm for Digital Plane Recognition -- Tangential Cover for Thick Digital Curves -- Binomial Convolutions and Derivatives Estimation from Noisy Discretizations -- Discrete Tomography -- Selection of Local Thresholds for Tomogram Segmentation by Projection Distance Minimization -- Reconstructing Binary Matrices with Neighborhood Constraints: An NP-hard Problem -- An Exact, Non-iterative Mojette Inversion Technique Utilising Ghosts -- Approximating hv-Convex Binary Matrices and Images from Discrete Projections -- Morphological Analysis -- Advances in Constrained Connectivity -- On Watershed Cuts and Thinnings -- A New Fuzzy Connectivity Class Application to Structural Recognition in Images -- Directional Structures Detection Based on Morphological Line-Segment and Orientation Functions -- Discrete Modelling and Visualization -- Predicting Corresponding Region in a Third View Using Discrete Epipolar Lines -- A Discrete Modelling of Soil Fragments Transport by Runoff -- Discrete and Combinational Tools for Image Segmentation and Analysis -- Optimal Difference Operator Selection -- First Results for 3D Image Segmentation with Topological Map -- Adaptive Morphological Filtering Using Similarities Based on Geodesic Time -- Book Scanner Dewarping with Weak 3d Measurements and a Simplified Surface Model -- 3D Image Topological Structuring with an Oriented Boundary Graph for Split and Merge Segmentation. |
| Record Nr. | UNINA-9910483995703321 |
| Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete geometry for computer imagery : 14th IAPR international conference, DGCI 2008, Lyon, France, April 16-18, 2008 : proceedings / / David Coeurjolly [and three others] (editors)
| Discrete geometry for computer imagery : 14th IAPR international conference, DGCI 2008, Lyon, France, April 16-18, 2008 : proceedings / / David Coeurjolly [and three others] (editors) |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2008] |
| Descrizione fisica | 1 online resource (XIII, 558 p.) |
| Disciplina | 006.6869 |
| Collana |
Lecture notes in computer science
LNCS sublibrary. SL 6, Image processing, computer vision, pattern recognition, and graphics |
| Soggetto topico |
Computer graphics
Discrete geometry - Data processing Geometric tomography |
| ISBN | 3-540-79126-4 |
| Classificazione |
004
DAT 756f SS 4800 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Invited Papers -- Digital Geometry Processing with Topological Guarantees -- What Can We Learn from Discrete Images about the Continuous World? -- Weak Rational Computing for Digital Geometry -- Models for Distance Geometry -- A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis -- Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions -- About the Frequencies of Some Patterns in Digital Planes Application to Area Estimators -- Combinatorial View of Digital Convexity -- Decomposition and Construction of Neighbourhood Operations Using Linear Algebra -- Digitally Continuous Multivalued Functions -- Continued Fractions and Digital Lines with Irrational Slopes -- Discrete and Combinational Topology -- New Characterizations of Simple Points, Minimal Non-simple Sets and P-Simple Points in 2D, 3D and 4D Discrete Spaces -- Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale Complexes -- Characterizing and Detecting Toric Loops in n-Dimensional Discrete Toric Spaces -- Insertion and Expansion Operations for n-Dimensional Generalized Maps -- Discrete Complex Structure on Surfel Surfaces -- Minimal Simple Pairs in the Cubic Grid -- Determining Whether a Simplicial 3-Complex Collapses to a 1-Complex Is NP-Complete -- Geometric Transforms -- Medial Axis LUT Computation for Chamfer Norms Using -Polytopes -- Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids – Metricity and Algorithms -- Euclidean Eccentricity Transform by Discrete Arc Paving -- Statistical Template Matching under Geometric Transformations -- Distance Transformation on Two-Dimensional Irregular Isothetic Grids -- Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words -- Segmenting Simplified Surface Skeletons -- Discrete Shape Representation, Recognition and Analysis -- Geometric Feature Estimators for Noisy Discrete Surfaces -- Normals and Curvature Estimation for Digital Surfaces Based on Convolutions -- On Minimal Moment of Inertia Polyominoes -- Gift-Wrapping Based Preimage Computation Algorithm -- Digital Planar Surface Segmentation Using Local Geometric Patterns -- Robust Estimation of Curvature along Digital Contours with Global Optimization -- An Efficient and Quasi Linear Worst-Case Time Algorithm for Digital Plane Recognition -- Tangential Cover for Thick Digital Curves -- Binomial Convolutions and Derivatives Estimation from Noisy Discretizations -- Discrete Tomography -- Selection of Local Thresholds for Tomogram Segmentation by Projection Distance Minimization -- Reconstructing Binary Matrices with Neighborhood Constraints: An NP-hard Problem -- An Exact, Non-iterative Mojette Inversion Technique Utilising Ghosts -- Approximating hv-Convex Binary Matrices and Images from Discrete Projections -- Morphological Analysis -- Advances in Constrained Connectivity -- On Watershed Cuts and Thinnings -- A New Fuzzy Connectivity Class Application to Structural Recognition in Images -- Directional Structures Detection Based on Morphological Line-Segment and Orientation Functions -- Discrete Modelling and Visualization -- Predicting Corresponding Region in a Third View Using Discrete Epipolar Lines -- A Discrete Modelling of Soil Fragments Transport by Runoff -- Discrete and Combinational Tools for Image Segmentation and Analysis -- Optimal Difference Operator Selection -- First Results for 3D Image Segmentation with Topological Map -- Adaptive Morphological Filtering Using Similarities Based on Geodesic Time -- Book Scanner Dewarping with Weak 3d Measurements and a Simplified Surface Model -- 3D Image Topological Structuring with an Oriented Boundary Graph for Split and Merge Segmentation. |
| Record Nr. | UNISA-996466125703316 |
| Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Discrete geometry for computer imagery : 13th international conference, DGCI 2006, Szeged, Hungary, October 25-27, 2006 : proceedings / / Attila Kuba, Laszlo G. Nyul, Kalman Palagyi (eds.)
| Discrete geometry for computer imagery : 13th international conference, DGCI 2006, Szeged, Hungary, October 25-27, 2006 : proceedings / / Attila Kuba, Laszlo G. Nyul, Kalman Palagyi (eds.) |
| Edizione | [1st ed. 2006.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2006 |
| Descrizione fisica | 1 online resource (XIII, 688 p.) |
| Disciplina | 006.601/516 |
| Altri autori (Persone) |
KubaAttila
NyulLaszlo G PalagyiKalman |
| Collana | Lecture notes in computer science |
| Soggetto topico |
Computer graphics
Discrete geometry - Data processing Geometric tomography |
| ISBN | 3-540-47652-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Discrete Geometry -- Duality and Geometry Straightness, Characterization and Envelope -- On Minimal Perimeter Polyminoes -- A Generic Approach for n-Dimensional Digital Lines -- Two Discrete-Euclidean Operations Based on the Scaling Transform -- Geometry of Neighborhood Sequences in Hexagonal Grid -- Recognition of Blurred Pieces of Discrete Planes -- Discrete Tomography -- The Number of Line-Convex Directed Polyominoes Having the Same Orthogonal Projections -- A Network Flow Algorithm for Binary Image Reconstruction from Few Projections -- Fast Filling Operations Used in the Reconstruction of Convex Lattice Sets -- Reconstruction Algorithm and Switching Graph for Two-Projection Tomography with Prohibited Subregion -- A Geometry Driven Reconstruction Algorithm for the Mojette Transform -- Quantised Angular Momentum Vectors and Projection Angle Distributions for Discrete Radon Transformations -- A Benchmark Evaluation of Large-Scale Optimization Approaches to Binary Tomography -- Construction of Switching Components -- Discrete Topology -- Minimal Non-simple and Minimal Non-cosimple Sets in Binary Images on Cell Complexes -- Combinatorial Relations for Digital Pictures -- Reusing Integer Homology Information of Binary Digital Images -- On the Lattice Structure of Subsets of Octagonal Neighborhood Sequences in ?n -- On the Connectedness of Rational Arithmetic Discrete Hyperplanes -- Homology of Simploidal Set -- Measuring Intrinsic Volumes in Digital 3d Images -- Distance -- An Objective Comparison Between Gray Weighted Distance Transforms and Weighted Distance Transforms on Curved Spaces -- Chordal Axis on Weighted Distance Transforms -- Attention-Based Mesh Simplification Using Distance Transforms -- Generating Distance Maps with Neighbourhood Sequences -- Hierarchical Chamfer Matching Based on Propagation of Gradient Strengths -- Elliptical Distance Transforms and Applications -- Image Analysis -- A Composite and Quasi Linear Time Method for Digital Plane Recognition -- Fusion Graphs, Region Merging and Watersheds -- Revisiting Digital Straight Segment Recognition -- On Discrete Moments of Unbounded Order -- Feature Based Defuzzification in ?2 and ?3 Using a Scale Space Approach -- Improving Difference Operators by Local Feature Detection -- Shape Representation -- An Optimal Algorithm for Detecting Pseudo-squares -- Optimization Schemes for the Reversible Discrete Volume Polyhedrization Using Marching Cubes Simplification -- Arithmetic Discrete Hyperspheres and Separatingness -- The Eccentricity Transform (of a Digital Shape) -- Projected Area Based 3D Shape Similarity Evaluation -- Continuous Level of Detail on Graphics Hardware -- Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids -- Fast Polynomial Segmentation of Digitized Curves -- Segmentation -- Fuzzy Segmentation of Color Video Shots -- Application of Surface Topological Segmentation to Seismic Imaging -- Watershed Segmentation with Chamfer Metric -- Generalized Map Pyramid for Multi-level 3D Image Segmentation -- Topologically Correct Image Segmentation Using Alpha Shapes -- Skeletonization -- New Removal Operators for Surface Skeletonization -- Skeleton Pruning by Contour Partitioning -- A New 3D Parallel Thinning Scheme Based on Critical Kernels -- Order Independence in Binary 2D Homotopic Thinning -- Exact Euclidean Medial Axis in Higher Resolution -- Skeletonization and Distance Transforms of 3D Volumes Using Graphics Hardware -- Surfaces and Volumes -- How to Tile by Dominoes the Boundary of a Polycube -- A Generalized Preimage for the Standard and Supercover Digital Hyperplane Recognition -- Distance Transforms on Anisotropic Surfaces for Surface Roughness Measurement -- A 3D Live-Wire Segmentation Method for Volume Images Using Haptic Interaction -- Minimal Decomposition of a Digital Surface into Digital Plane Segments Is NP-Hard -- Erratum -- Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids. |
| Altri titoli varianti | DGCI 2006 |
| Record Nr. | UNINA-9910484722603321 |
| Berlin ; ; New York, : Springer, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete wavelet transform : a signal processing approach / / D. Sundararajan
| Discrete wavelet transform : a signal processing approach / / D. Sundararajan |
| Autore | Sundararajan D. |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (340 p.) |
| Disciplina | 515/.2433 |
| Soggetto topico |
Wavelets (Mathematics)
Signal processing Geometric tomography |
| ISBN |
1-119-11311-3
1-119-04607-6 1-119-04608-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; List of Abbreviations; Chapter 1 Introduction; 1.1 The Organization of This Book; Chapter 2 Signals; 2.1 Signal Classifications; 2.1.1 Periodic and Aperiodic Signals; 2.1.2 Even and Odd Signals; 2.1.3 Energy Signals; 2.1.4 Causal and Noncausal Signals; 2.2 Basic Signals; 2.2.1 Unit-Impulse Signal; 2.2.2 Unit-Step Signal; 2.2.3 The Sinusoid; 2.3 The Sampling Theorem and the Aliasing Effect; 2.4 Signal Operations; 2.4.1 Time Shifting; 2.4.2 Time Reversal; 2.4.3 Time Scaling; 2.5 Summary; Exercises; Chapter 3 Convolution and Correlation
3.1 Convolution 3.1.1 The Linear Convolution; 3.1.2 Properties of Convolution; 3.1.3 The Periodic Convolution; 3.1.4 The Border Problem; 3.1.5 Convolution in the DWT; 3.2 Correlation; 3.2.1 The Linear Correlation; 3.2.2 Correlation and Fourier Analysis; 3.2.3 Correlation in the DWT; 3.3 Summary; Exercises; Chapter 4 Fourier Analysis of Discrete Signals; 4.1 Transform Analysis; 4.2 The Discrete Fourier Transform; 4.2.1 Parseval's Theorem; 4.3 The Discrete-Time Fourier Transform; 4.3.1 Convolution; 4.3.2 Convolution in the DWT; 4.3.3 Correlation; 4.3.4 Correlation in the DWT 4.3.5 Time Expansion 4.3.6 Sampling Theorem; 4.3.7 Parseval's Theorem; 4.4 Approximation of the DTFT; 4.5 The Fourier Transform; 4.6 Summary; Exercises; Chapter 5 The z-Transform; 5.1 The z-Transform; 5.2 Properties of the z-Transform; 5.2.1 Linearity; 5.2.2 Time Shift of a Sequence; 5.2.3 Convolution; 5.3 Summary; Exercises; Chapter 6 Finite Impulse Response Filters; 6.1 Characterization; 6.1.1 Ideal Lowpass Filters; 6.1.2 Ideal Highpass Filters; 6.1.3 Ideal Bandpass Filters; 6.2 Linear Phase Response; 6.2.1 Even-Symmetric FIR Filters with Odd Number of Coefficients 6.2.2 Even-Symmetric FIR Filters with Even Number of Coefficients 6.3 Summary; Exercises; Chapter 7 Multirate Digital Signal Processing; 7.1 Decimation; 7.1.1 Downsampling in the Frequency-Domain; 7.1.2 Downsampling Followed by Filtering; 7.2 Interpolation; 7.2.1 Upsampling in the Frequency-Domain; 7.2.2 Filtering Followed by Upsampling; 7.3 Two-Channel Filter Bank; 7.3.1 Perfect Reconstruction Conditions; 7.4 Polyphase Form of the Two-Channel Filter Bank; 7.4.1 Decimation; 7.4.2 Interpolation; 7.4.3 Polyphase Form of the Filter Bank; 7.5 Summary; Exercises Chapter 8 The Haar Discrete Wavelet Transform 8.1 Introduction; 8.1.1 Signal Representation; 8.1.2 The Wavelet Transform Concept; 8.1.3 Fourier and Wavelet Transform Analyses; 8.1.4 Time-Frequency Domain; 8.2 The Haar Discrete Wavelet Transform; 8.2.1 The Haar DWT and the 2-Point DFT; 8.2.2 The Haar Transform Matrix; 8.3 The Time-Frequency Plane; 8.4 Wavelets from the Filter Coefficients; 8.4.1 Two Scale Relations; 8.5 The 2-D Haar Discrete Wavelet Transform; 8.6 Discontinuity Detection; 8.7 Summary; Exercises; Chapter 9 Orthogonal Filter Banks; 9.1 Haar Filter; 9.2 Daubechies Filter 9.3 Orthogonality Conditions |
| Record Nr. | UNINA-9910131511803321 |
|
Sundararajan D.
|
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| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Discrete wavelet transform : a signal processing approach / / D. Sundararajan
| Discrete wavelet transform : a signal processing approach / / D. Sundararajan |
| Autore | Sundararajan D. |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (340 p.) |
| Disciplina | 515/.2433 |
| Soggetto topico |
Wavelets (Mathematics)
Signal processing Geometric tomography |
| ISBN |
1-119-11311-3
1-119-04607-6 1-119-04608-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; List of Abbreviations; Chapter 1 Introduction; 1.1 The Organization of This Book; Chapter 2 Signals; 2.1 Signal Classifications; 2.1.1 Periodic and Aperiodic Signals; 2.1.2 Even and Odd Signals; 2.1.3 Energy Signals; 2.1.4 Causal and Noncausal Signals; 2.2 Basic Signals; 2.2.1 Unit-Impulse Signal; 2.2.2 Unit-Step Signal; 2.2.3 The Sinusoid; 2.3 The Sampling Theorem and the Aliasing Effect; 2.4 Signal Operations; 2.4.1 Time Shifting; 2.4.2 Time Reversal; 2.4.3 Time Scaling; 2.5 Summary; Exercises; Chapter 3 Convolution and Correlation
3.1 Convolution 3.1.1 The Linear Convolution; 3.1.2 Properties of Convolution; 3.1.3 The Periodic Convolution; 3.1.4 The Border Problem; 3.1.5 Convolution in the DWT; 3.2 Correlation; 3.2.1 The Linear Correlation; 3.2.2 Correlation and Fourier Analysis; 3.2.3 Correlation in the DWT; 3.3 Summary; Exercises; Chapter 4 Fourier Analysis of Discrete Signals; 4.1 Transform Analysis; 4.2 The Discrete Fourier Transform; 4.2.1 Parseval's Theorem; 4.3 The Discrete-Time Fourier Transform; 4.3.1 Convolution; 4.3.2 Convolution in the DWT; 4.3.3 Correlation; 4.3.4 Correlation in the DWT 4.3.5 Time Expansion 4.3.6 Sampling Theorem; 4.3.7 Parseval's Theorem; 4.4 Approximation of the DTFT; 4.5 The Fourier Transform; 4.6 Summary; Exercises; Chapter 5 The z-Transform; 5.1 The z-Transform; 5.2 Properties of the z-Transform; 5.2.1 Linearity; 5.2.2 Time Shift of a Sequence; 5.2.3 Convolution; 5.3 Summary; Exercises; Chapter 6 Finite Impulse Response Filters; 6.1 Characterization; 6.1.1 Ideal Lowpass Filters; 6.1.2 Ideal Highpass Filters; 6.1.3 Ideal Bandpass Filters; 6.2 Linear Phase Response; 6.2.1 Even-Symmetric FIR Filters with Odd Number of Coefficients 6.2.2 Even-Symmetric FIR Filters with Even Number of Coefficients 6.3 Summary; Exercises; Chapter 7 Multirate Digital Signal Processing; 7.1 Decimation; 7.1.1 Downsampling in the Frequency-Domain; 7.1.2 Downsampling Followed by Filtering; 7.2 Interpolation; 7.2.1 Upsampling in the Frequency-Domain; 7.2.2 Filtering Followed by Upsampling; 7.3 Two-Channel Filter Bank; 7.3.1 Perfect Reconstruction Conditions; 7.4 Polyphase Form of the Two-Channel Filter Bank; 7.4.1 Decimation; 7.4.2 Interpolation; 7.4.3 Polyphase Form of the Filter Bank; 7.5 Summary; Exercises Chapter 8 The Haar Discrete Wavelet Transform 8.1 Introduction; 8.1.1 Signal Representation; 8.1.2 The Wavelet Transform Concept; 8.1.3 Fourier and Wavelet Transform Analyses; 8.1.4 Time-Frequency Domain; 8.2 The Haar Discrete Wavelet Transform; 8.2.1 The Haar DWT and the 2-Point DFT; 8.2.2 The Haar Transform Matrix; 8.3 The Time-Frequency Plane; 8.4 Wavelets from the Filter Coefficients; 8.4.1 Two Scale Relations; 8.5 The 2-D Haar Discrete Wavelet Transform; 8.6 Discontinuity Detection; 8.7 Summary; Exercises; Chapter 9 Orthogonal Filter Banks; 9.1 Haar Filter; 9.2 Daubechies Filter 9.3 Orthogonality Conditions |
| Record Nr. | UNINA-9910820918403321 |
|
Sundararajan D.
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
