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. |
Dentro del libro
Resultados 1-5 de 32
Página 13
... digital set B of black points in a binary picture means deleting a subset AC ... digital objects in the form of their skeletons . The axiomatic approach allows us to speak about ... line IR with the usual 1.2 . AXIOMATIC APPROACH 13.
... digital set B of black points in a binary picture means deleting a subset AC ... digital objects in the form of their skeletons . The axiomatic approach allows us to speak about ... line IR with the usual 1.2 . AXIOMATIC APPROACH 13.
Página 14
... digital line . They call Z2 that is a topological product of two digital lines a digital plane . In this approach , an arc is defined as a homeomorphic image of a digital interval , where , for example , a digital interval [ 1 , 5 ] is ...
... digital line . They call Z2 that is a topological product of two digital lines a digital plane . In this approach , an arc is defined as a homeomorphic image of a digital interval , where , for example , a digital interval [ 1 , 5 ] is ...
Página 15
... digital set is a simple closed curve if its continuous analog is a simple closed curve in the usual sense of ... line segment pq is assigned to two 8 - adjacent black digital points p and q . 2. A closed triangle pqr is assigned to three ...
... digital set is a simple closed curve if its continuous analog is a simple closed curve in the usual sense of ... line segment pq is assigned to two 8 - adjacent black digital points p and q . 2. A closed triangle pqr is assigned to three ...
Página 16
... digital output images to real input objects that are represented as continuous sets . While Kong identifies digital points with corners of squares , triangles , or line segments in the polyhedral analog , we identify digital points with ...
... digital output images to real input objects that are represented as continuous sets . While Kong identifies digital points with corners of squares , triangles , or line segments in the polyhedral analog , we identify digital points with ...
Página 17
... digital points are mapped to the squares of which they are centers . 1.4 Digitization Approach A continuous object ... line if there exists a real straight line which digitizes to the digital set . Rosenfeld [ 127 ] formulated a chord ...
... digital points are mapped to the squares of which they are centers . 1.4 Digitization Approach A continuous object ... line if there exists a real straight line which digitizes to the digital set . Rosenfeld [ 127 ] formulated a chord ...
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