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Digital geometry [[electronic resource] ] : geometric methods for digital picture analysis / / Reinhard Klette, Azriel Rosenfeld
| Digital geometry [[electronic resource] ] : geometric methods for digital picture analysis / / Reinhard Klette, Azriel Rosenfeld |
| Autore | Klette Reinhard |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier, : Morgan Kaufman Publishers, c2004 |
| Descrizione fisica | 1 online resource (675 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) | RosenfeldAzriel <1931-> |
| Collana | The Morgan Kaufmann series in computer graphics and geometric modeling |
| Soggetto topico |
Image processing - Digital techniques
Geometry - Data processing Image analysis Computer graphics Algorithms |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-01012-X
9786611010126 0-08-047726-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Structure of this Book; Contents; 1. Introduction; 1.1 Pictures; 1.1.1 Pixels, voxels, and their values; 1.1.2 Picture resolution and picture size; 1.1.3 Scan orders; 1.1.4 Adjacency and connectedness; 1.2 Digital Geometry and Related Disciplines; 1.2.1 Coordinates and metric spaces; 1.2.2 Euclidean, similarity, and affine geometry; 1.2.3 Projective geometry; 1.2.4 Vector and geometric algebra; 1.2.5 Graph theory; 1.2.6 Topology; 1.2.7 Approximation and estimation; 1.2.8 Combinatorial geometry; 1.2.9 Computational geometry; 1.2.10 Fuzzy geometry
1.2.11 Integral geometry, isoperimetry, stereology, and tomography1.2.12 Mathematic morphology; 1.3 Exercises; 1.4 Commented Bibliography; 2. Grids and Digitization; 2.1 The Grid Point and Grid Cell Models; 2.1.1 Grid points and grid cells; 2.1.2 Variable grid resolution; 2.1.3 Adjacencies in 2D grids; 2.1.4 Adjacencies in 3D grids; 2.1.5 Grid cell incidence; 2.2 Connected Components; 2.2.1 Connectedness and components; 2.2.2 Counting connected sets; 2.2.3 Component labeling; 2.3 Digitization Models; 2.3.1 Gauss digitization; 2.3.2 Jordan digitization; 2.3.3 Grid-intersection digitization 2.3.4 Types of digital sets2.3.5 Domain digitizations; 2.4 Property Estimation; 2.4.1 Content estimation; 2.4.2 Convergent 2D area estimates; 2.4.3 Multigrid convergence; 2.5 Exercises; 2.6 Commented Bibliography; 3. Metrics; 3.1 Basics About Metrics; 3.1.1 The Euclidean metric; 3.1.2 Norms and Minkowski metrics; 3.1.3 Scalar products and angles; 3.1.4 Integer-Valued metrics; 3.1.5 Restricting and combining metrics; 3.1.6 Boundedness; 3.1.7 The topology induced by a metric; 3.1.8 Distances between sets; 3.2 Grid Point Metrics; 3.2.1 Basic grid point metrics 3.2.2 Neighborhoods and degrees of closeness3.2.3 Approximations to the Euclidean metric; 3.2.4 Paths, geodesics, and intrinsic distances; 3.2.5 Distances between sets; 3.3 Grid Cell Metrics; 3.3.1 Basic grid cell metrics; 3.3.2 Seminorms; 3.3.3 Scalar products and angles; 3.4 Metrics on Pictures; 3.4.1 Value-weighted distance; 3.4.2 Distance transforms; 3.4.3 The Euclidean distance transform; 3.4.4 Medial axes; 3.5 Exercises; 3.6 Commented Bibliography; 4. Adjacency Graphs; 4.1 Graphs, Adjacency Structures, and Adjacency Graphs; 4.1.1 Graphs and adjacency structures 4.1.2 Connectedness with respect to a subgraph4.1.3 Adjacency graphs; 4.1.4 Types of nodes; region adjacencies; 4.2 Some Basics of Graph Theory; 4.2.1 Nodes, paths, and distances; 4.2.2 Special types of nodes, edges, and graphs; 4.3 Oriented Adjacency Graphs; 4.3.1 Local circular orders; 4.3.2 The Euler characteristic and planarity; 4.3.3 Atomic and border cycles; 4.3.4 The separation theorem; 4.3.5 Holes; 4.3.6 Boundaries; 4.3.7 Some combinatorial results; 4.4 Combinatorial Maps; 4.4.1 2D maps; 4.4.2 3D maps; 4.5 Exercises; 4.6 Commented Bibliography; 5. Incidence Pseudographs 5.1 Incidence Structures |
| Record Nr. | UNINA-9910451445303321 |
Klette Reinhard
|
||
| Amsterdam ; ; Boston, : Elsevier, : Morgan Kaufman Publishers, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Digital geometry [[electronic resource] ] : geometric methods for digital picture analysis / / Reinhard Klette, Azriel Rosenfeld
| Digital geometry [[electronic resource] ] : geometric methods for digital picture analysis / / Reinhard Klette, Azriel Rosenfeld |
| Autore | Klette Reinhard |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier, : Morgan Kaufman Publishers, c2004 |
| Descrizione fisica | 1 online resource (675 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) | RosenfeldAzriel <1931-> |
| Collana | The Morgan Kaufmann series in computer graphics and geometric modeling |
| Soggetto topico |
Image processing - Digital techniques
Geometry - Data processing Image analysis Computer graphics Algorithms |
| ISBN |
1-281-01012-X
9786611010126 0-08-047726-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Structure of this Book; Contents; 1. Introduction; 1.1 Pictures; 1.1.1 Pixels, voxels, and their values; 1.1.2 Picture resolution and picture size; 1.1.3 Scan orders; 1.1.4 Adjacency and connectedness; 1.2 Digital Geometry and Related Disciplines; 1.2.1 Coordinates and metric spaces; 1.2.2 Euclidean, similarity, and affine geometry; 1.2.3 Projective geometry; 1.2.4 Vector and geometric algebra; 1.2.5 Graph theory; 1.2.6 Topology; 1.2.7 Approximation and estimation; 1.2.8 Combinatorial geometry; 1.2.9 Computational geometry; 1.2.10 Fuzzy geometry
1.2.11 Integral geometry, isoperimetry, stereology, and tomography1.2.12 Mathematic morphology; 1.3 Exercises; 1.4 Commented Bibliography; 2. Grids and Digitization; 2.1 The Grid Point and Grid Cell Models; 2.1.1 Grid points and grid cells; 2.1.2 Variable grid resolution; 2.1.3 Adjacencies in 2D grids; 2.1.4 Adjacencies in 3D grids; 2.1.5 Grid cell incidence; 2.2 Connected Components; 2.2.1 Connectedness and components; 2.2.2 Counting connected sets; 2.2.3 Component labeling; 2.3 Digitization Models; 2.3.1 Gauss digitization; 2.3.2 Jordan digitization; 2.3.3 Grid-intersection digitization 2.3.4 Types of digital sets2.3.5 Domain digitizations; 2.4 Property Estimation; 2.4.1 Content estimation; 2.4.2 Convergent 2D area estimates; 2.4.3 Multigrid convergence; 2.5 Exercises; 2.6 Commented Bibliography; 3. Metrics; 3.1 Basics About Metrics; 3.1.1 The Euclidean metric; 3.1.2 Norms and Minkowski metrics; 3.1.3 Scalar products and angles; 3.1.4 Integer-Valued metrics; 3.1.5 Restricting and combining metrics; 3.1.6 Boundedness; 3.1.7 The topology induced by a metric; 3.1.8 Distances between sets; 3.2 Grid Point Metrics; 3.2.1 Basic grid point metrics 3.2.2 Neighborhoods and degrees of closeness3.2.3 Approximations to the Euclidean metric; 3.2.4 Paths, geodesics, and intrinsic distances; 3.2.5 Distances between sets; 3.3 Grid Cell Metrics; 3.3.1 Basic grid cell metrics; 3.3.2 Seminorms; 3.3.3 Scalar products and angles; 3.4 Metrics on Pictures; 3.4.1 Value-weighted distance; 3.4.2 Distance transforms; 3.4.3 The Euclidean distance transform; 3.4.4 Medial axes; 3.5 Exercises; 3.6 Commented Bibliography; 4. Adjacency Graphs; 4.1 Graphs, Adjacency Structures, and Adjacency Graphs; 4.1.1 Graphs and adjacency structures 4.1.2 Connectedness with respect to a subgraph4.1.3 Adjacency graphs; 4.1.4 Types of nodes; region adjacencies; 4.2 Some Basics of Graph Theory; 4.2.1 Nodes, paths, and distances; 4.2.2 Special types of nodes, edges, and graphs; 4.3 Oriented Adjacency Graphs; 4.3.1 Local circular orders; 4.3.2 The Euler characteristic and planarity; 4.3.3 Atomic and border cycles; 4.3.4 The separation theorem; 4.3.5 Holes; 4.3.6 Boundaries; 4.3.7 Some combinatorial results; 4.4 Combinatorial Maps; 4.4.1 2D maps; 4.4.2 3D maps; 4.5 Exercises; 4.6 Commented Bibliography; 5. Incidence Pseudographs 5.1 Incidence Structures |
| Record Nr. | UNINA-9910784236603321 |
|
Klette Reinhard
|
||
| Amsterdam ; ; Boston, : Elsevier, : Morgan Kaufman Publishers, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Digital geometry [[electronic resource] ] : geometric methods for digital picture analysis / / Reinhard Klette, Azriel Rosenfeld
| Digital geometry [[electronic resource] ] : geometric methods for digital picture analysis / / Reinhard Klette, Azriel Rosenfeld |
| Autore | Klette Reinhard |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier, : Morgan Kaufman Publishers, c2004 |
| Descrizione fisica | 1 online resource (675 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) | RosenfeldAzriel <1931-> |
| Collana | The Morgan Kaufmann series in computer graphics and geometric modeling |
| Soggetto topico |
Image processing - Digital techniques
Geometry - Data processing Image analysis Computer graphics Algorithms |
| ISBN |
1-281-01012-X
9786611010126 0-08-047726-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Structure of this Book; Contents; 1. Introduction; 1.1 Pictures; 1.1.1 Pixels, voxels, and their values; 1.1.2 Picture resolution and picture size; 1.1.3 Scan orders; 1.1.4 Adjacency and connectedness; 1.2 Digital Geometry and Related Disciplines; 1.2.1 Coordinates and metric spaces; 1.2.2 Euclidean, similarity, and affine geometry; 1.2.3 Projective geometry; 1.2.4 Vector and geometric algebra; 1.2.5 Graph theory; 1.2.6 Topology; 1.2.7 Approximation and estimation; 1.2.8 Combinatorial geometry; 1.2.9 Computational geometry; 1.2.10 Fuzzy geometry
1.2.11 Integral geometry, isoperimetry, stereology, and tomography1.2.12 Mathematic morphology; 1.3 Exercises; 1.4 Commented Bibliography; 2. Grids and Digitization; 2.1 The Grid Point and Grid Cell Models; 2.1.1 Grid points and grid cells; 2.1.2 Variable grid resolution; 2.1.3 Adjacencies in 2D grids; 2.1.4 Adjacencies in 3D grids; 2.1.5 Grid cell incidence; 2.2 Connected Components; 2.2.1 Connectedness and components; 2.2.2 Counting connected sets; 2.2.3 Component labeling; 2.3 Digitization Models; 2.3.1 Gauss digitization; 2.3.2 Jordan digitization; 2.3.3 Grid-intersection digitization 2.3.4 Types of digital sets2.3.5 Domain digitizations; 2.4 Property Estimation; 2.4.1 Content estimation; 2.4.2 Convergent 2D area estimates; 2.4.3 Multigrid convergence; 2.5 Exercises; 2.6 Commented Bibliography; 3. Metrics; 3.1 Basics About Metrics; 3.1.1 The Euclidean metric; 3.1.2 Norms and Minkowski metrics; 3.1.3 Scalar products and angles; 3.1.4 Integer-Valued metrics; 3.1.5 Restricting and combining metrics; 3.1.6 Boundedness; 3.1.7 The topology induced by a metric; 3.1.8 Distances between sets; 3.2 Grid Point Metrics; 3.2.1 Basic grid point metrics 3.2.2 Neighborhoods and degrees of closeness3.2.3 Approximations to the Euclidean metric; 3.2.4 Paths, geodesics, and intrinsic distances; 3.2.5 Distances between sets; 3.3 Grid Cell Metrics; 3.3.1 Basic grid cell metrics; 3.3.2 Seminorms; 3.3.3 Scalar products and angles; 3.4 Metrics on Pictures; 3.4.1 Value-weighted distance; 3.4.2 Distance transforms; 3.4.3 The Euclidean distance transform; 3.4.4 Medial axes; 3.5 Exercises; 3.6 Commented Bibliography; 4. Adjacency Graphs; 4.1 Graphs, Adjacency Structures, and Adjacency Graphs; 4.1.1 Graphs and adjacency structures 4.1.2 Connectedness with respect to a subgraph4.1.3 Adjacency graphs; 4.1.4 Types of nodes; region adjacencies; 4.2 Some Basics of Graph Theory; 4.2.1 Nodes, paths, and distances; 4.2.2 Special types of nodes, edges, and graphs; 4.3 Oriented Adjacency Graphs; 4.3.1 Local circular orders; 4.3.2 The Euler characteristic and planarity; 4.3.3 Atomic and border cycles; 4.3.4 The separation theorem; 4.3.5 Holes; 4.3.6 Boundaries; 4.3.7 Some combinatorial results; 4.4 Combinatorial Maps; 4.4.1 2D maps; 4.4.2 3D maps; 4.5 Exercises; 4.6 Commented Bibliography; 5. Incidence Pseudographs 5.1 Incidence Structures |
| Record Nr. | UNINA-9910810657103321 |
|
Klette Reinhard
|
||
| Amsterdam ; ; Boston, : Elsevier, : Morgan Kaufman Publishers, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vision geometry : proceedings of an AMS special session held October 20-21, 1989 / / Robert A. Melter, Azriel Rosenfeld, Prabir Bhattacharya, editors
| Vision geometry : proceedings of an AMS special session held October 20-21, 1989 / / Robert A. Melter, Azriel Rosenfeld, Prabir Bhattacharya, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina | 006.3/7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Computer vision
Geometry Image processing - Digital techniques |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7707-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Introduction""; ""Self-Similarity Properties of Digitized Straight Lines""; ""Galleries and Light Matchings: Fat Cooperative Guards""; ""Chord Centers for Convex Polygons""; ""Discrete Straight Line Segments: Parameters, Primitives, and Properties""; ""Vision, Geometry, and Minkowski Operators""; ""Discrete Multidimensional Jordan Surfaces""; ""A Survey of Digital Metrics""; ""Combinatorial and Computational Aspects of Minkowski Decompositions""; ""Connectedness of a Set, Its Complement, and Their Common Boundary""; """"Digital Geometry"" on Graphs""
""Star-Shapedness of Digitized Planar Shapes""""Algorithms for the Decomposition of Convex Polygons""; ""Decomposition of Discrete Curves into Piecewise Straight Segments in Linear Time""; ""Digitization Schemes and the Recognition of Digital Straight Lines, Hyperplanes, and Flats in Arbitrary Dimensions""; ""Computational Geometry and Computer Vision""; ""Convexity, Visibility, and Orthogonal Polygons"" |
| Record Nr. | UNINA-9910480447203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vision geometry : proceedings of an AMS special session held October 20-21, 1989 / / Robert A. Melter, Azriel Rosenfeld, Prabir Bhattacharya, editors
| Vision geometry : proceedings of an AMS special session held October 20-21, 1989 / / Robert A. Melter, Azriel Rosenfeld, Prabir Bhattacharya, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina | 006.3/7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Computer vision
Geometry Image processing - Digital techniques |
| ISBN | 0-8218-7707-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Introduction""; ""Self-Similarity Properties of Digitized Straight Lines""; ""Galleries and Light Matchings: Fat Cooperative Guards""; ""Chord Centers for Convex Polygons""; ""Discrete Straight Line Segments: Parameters, Primitives, and Properties""; ""Vision, Geometry, and Minkowski Operators""; ""Discrete Multidimensional Jordan Surfaces""; ""A Survey of Digital Metrics""; ""Combinatorial and Computational Aspects of Minkowski Decompositions""; ""Connectedness of a Set, Its Complement, and Their Common Boundary""; """"Digital Geometry"" on Graphs""
""Star-Shapedness of Digitized Planar Shapes""""Algorithms for the Decomposition of Convex Polygons""; ""Decomposition of Discrete Curves into Piecewise Straight Segments in Linear Time""; ""Digitization Schemes and the Recognition of Digital Straight Lines, Hyperplanes, and Flats in Arbitrary Dimensions""; ""Computational Geometry and Computer Vision""; ""Convexity, Visibility, and Orthogonal Polygons"" |
| Record Nr. | UNINA-9910788639403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vision geometry : proceedings of an AMS special session held October 20-21, 1989 / / Robert A. Melter, Azriel Rosenfeld, Prabir Bhattacharya, editors
| Vision geometry : proceedings of an AMS special session held October 20-21, 1989 / / Robert A. Melter, Azriel Rosenfeld, Prabir Bhattacharya, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina | 006.3/7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Computer vision
Geometry Image processing - Digital techniques |
| ISBN | 0-8218-7707-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Introduction""; ""Self-Similarity Properties of Digitized Straight Lines""; ""Galleries and Light Matchings: Fat Cooperative Guards""; ""Chord Centers for Convex Polygons""; ""Discrete Straight Line Segments: Parameters, Primitives, and Properties""; ""Vision, Geometry, and Minkowski Operators""; ""Discrete Multidimensional Jordan Surfaces""; ""A Survey of Digital Metrics""; ""Combinatorial and Computational Aspects of Minkowski Decompositions""; ""Connectedness of a Set, Its Complement, and Their Common Boundary""; """"Digital Geometry"" on Graphs""
""Star-Shapedness of Digitized Planar Shapes""""Algorithms for the Decomposition of Convex Polygons""; ""Decomposition of Discrete Curves into Piecewise Straight Segments in Linear Time""; ""Digitization Schemes and the Recognition of Digital Straight Lines, Hyperplanes, and Flats in Arbitrary Dimensions""; ""Computational Geometry and Computer Vision""; ""Convexity, Visibility, and Orthogonal Polygons"" |
| Record Nr. | UNINA-9910812560003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||