Discrete Representation of Spatial Objects in Computer VisionSpringer Science & Business Media, 2013 M04 17 - 216 páginas One of the most natural representations for modelling spatial objects in computers is discrete representations in the form of a 2D square raster and a 3D cubic grid, since these are naturally obtained by segmenting sensor images. However, the main difficulty is that discrete representations are only approximations of the original objects, and can only be as accurate as the cell size allows. If digitisation is done by real sensor devices, then there is the additional difficulty of sensor distortion. To overcome this, digital shape features must be used that abstract from the inaccuracies of digital representation. In order to ensure the correspondence of continuous and digital features, it is necessary to relate shape features of the underlying continuous objects and to determine the necessary resolution of the digital representation. This volume gives an overview and a classification of the actual approaches to describe the relation between continuous and discrete shape features that are based on digital geometric concepts of discrete structures. Audience: This book will be of interest to researchers and graduate students whose work involves computer vision, image processing, knowledge representation or representation of spatial objects. |
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Página 8
... simple closed curve can be defined as a connected subgraph of the digital plane ( with a certain minimal number of points ) in which each point is adjacent to exactly two other points . Further , it can be proved that a simple closed ...
... simple closed curve can be defined as a connected subgraph of the digital plane ( with a certain minimal number of points ) in which each point is adjacent to exactly two other points . Further , it can be proved that a simple closed ...
Página 9
... simple closed curve does not satisfy the Jordan curve theorem , as we will see below . Due to the discrete nature of the graph structure , not every property required can be satisfied by a given graph structure . Another example is the ...
... simple closed curve does not satisfy the Jordan curve theorem , as we will see below . Due to the discrete nature of the graph structure , not every property required can be satisfied by a given graph structure . Another example is the ...
Página 10
... simple closed 8 - curve and similarly the set of gray points as a simple closed 8 - curve . Yet , the black simple closed 8 - curve does not separate ( disconnect ) the points in the gray simple closed 8 - curve , and vice versa ...
... simple closed 8 - curve and similarly the set of gray points as a simple closed 8 - curve . Yet , the black simple closed 8 - curve does not separate ( disconnect ) the points in the gray simple closed 8 - curve , and vice versa ...
Página 11
... simple closed curve in well - composed 2D pictures ; these are simple closed 4 - curves . At first glance , it may seem that by requiring well - composedness we restrict the variety of digital pictures . However , requiring digital ...
... simple closed curve in well - composed 2D pictures ; these are simple closed 4 - curves . At first glance , it may seem that by requiring well - composedness we restrict the variety of digital pictures . However , requiring digital ...
Página 12
... simple closed curves . A simple set of axioms for a semi- proximity relation is given that applies to continuous as ... curve are defined by exactly the same definitions as in the continuous case : an arc is a homeomorphic image of a closed ...
... simple closed curves . A simple set of axioms for a semi- proximity relation is given that applies to continuous as ... curve are defined by exactly the same definitions as in the continuous case : an arc is a homeomorphic image of a closed ...
Contenido
5 | |
Graphbased Approach | 45 |
Axiomatic Approach | 73 |
Continuous Representations of Real Objects | 107 |
A co co co | 142 |
Digitization Approach | 147 |
Bibliography | 175 |
37 | 190 |
45 | 202 |
Otras ediciones - Ver todas
Discrete Representation of Spatial Objects in Computer Vision L.J. Latecki Vista previa limitada - 1998 |
Discrete Representation of Spatial Objects in Computer Vision L.J. Latecki Sin vista previa disponible - 2010 |
Discrete Representation of Spatial Objects in Computer Vision L.J. Latecki Sin vista previa disponible - 2014 |
Términos y frases comunes
4-simple 8-adjacency 8-component arc(x bdCA(X binary black points boundary point CA(X camera closed half-plane color computer vision concept connected components connectedness contained continuous analog continuous functions convex set cubes defined definition deformation retract deleted denote Dig(A digital image digital line digital object digital picture digital set digital topology digitization process discrete representations endpoints Euler characteristic example exists geometric graph structure homeomorphic interior point IR² Jordan curve theorem Latecki Lemma line of support line segment metric continuous multicolor N₁(P obtain oob(x osculating ball Par(A par(r)-regular set parallel regular pixel planar plane polygonal arc preserves Proof property CP3 Proposition real objects Rosenfeld rotations s₁ Section semi-proximity spaces shown in Figure simple closed curve simple point simple polygon sp-continuous spatial straight line subarc subset supported arc thinning algorithm topological spaces topology well-composed pictures well-composed sets white points