Results 261 to 270 of about 73,457 (292)

Preserving Topology by a Digitization Process

Journal of Mathematical Imaging and Vision, 1998
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Longin Jan Latecki, Christopher Conrad, Ari D. Gross   +2 more
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Comparability Graphs and Digital Topology

Computer Vision and Image Understanding, 2001
Summary: \textit{D. Nogy} and \textit{M. Schladt} [Comput. Vis. Graphics Image Process. Image Understand. 63, 394-396 (1996)] as well as \textit{L. Lateki} [Comput. Vis. Graphics Image Process. Image Understand. 57, 261-262 (1993)] deal with the topology on graphs. In this note, using a theorem given by \textit{P. Prea} [Discrete Math.
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Digital topology: Introduction and survey

Computer Vision, Graphics, and Image Processing, 1989
Abstract Digital topology deals with the topological properties of digital images: or, more generally, of discrete arrays in two or more dimensions. It provides the theoretical foundations for important image processing operations such as connected component labeling and counting, border following, contour filling, and thinning—and their ...
T. Yung Kong, Azriel Rosenfeld
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Digital Topology in Brain Imaging

IEEE Signal Processing Magazine, 2010
Modeling topology in medical image processing algorithms has emerged as a powerful technique for computing structural representations that are consistent with the underlying anatomy. When applied to high resolution images of the brain, these methods have proven to be extremely beneficial to neuroscientific studies in generating mathematical ...
Dzung L. Pham, Pierre-Louis Bazin, Jerry L. Prince   +2 more
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Magnification in Digital Topology

2004
When the author was working with Prof. Azriel Rosenfeld on joint research, we proposed a very strong deformation technique in digital topology called “magnification”. In this paper, the methods are explained in detail and some applications are given.
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An Axiomatic Approach to Digital Topology

2001
In a series of papers the authors have developed an approach to Digital Topology, which is based on a multilevel architecture. One of the foundations of this approach is an axiomatic definition of the notion of digital space. In this paper we relate this approach with several other approaches to Digital Topology appeared in literature through a deep ...
Eladio Domínguez, Angel R. Francés
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Combinatorial Topology and Digital Topology

2014
Topology is the study of the equivalence between two general spaces under continuous mappings. Two spaces are called homemorphic if there is an invertible continuous function between them. Triangles or simplexes are used in topological analysis of a space since we want to decompose a complex space into some simpler shapes to better understanding the ...
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Topological classification in digital space

2005
no ...
Malandain, Grégoire, Bertrand, Gilles, Ayache, Nicholas   +2 more
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New Insight on Digital Topology

2005
The traditional approach of digital topology consists of using two different kinds of neighborhood for the black and white pixels of a binary image, and consequently two kinds of connectedness. In this paper, we are proposing to define connectedness in terms of a bounded subcollection of sets and to analyze the topological aspect of a binary image in ...
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Fuzzy Digital Topology

2001
Digital picture processing deals with image compression or enhancement and image analysis. In image compression or enhancement, the output desired is a picture which is an approximation or improvement of the input picture. In image analysis, the desired output is a description of the input picture. In digital pictures, geometric considerations of parts
John N. Mordeson, Premchand S. Nair
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