Results 21 to 30 of about 42,065 (261)
Fixed Point Sets of Digital Curves and Digital Surfaces
Mathematics, 2020 Given a digital image (or digital object) (X,k), we address some unsolved problems related to the study of fixed point sets of k-continuous self-maps of (X,k) from the viewpoints of digital curve and digital surface theory.
Sang-Eon Han
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Remarks on fixed point assertions in digital topology, 3
Applied General Topology, 2019 We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce ...
Laurence Boxer
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ADAPTIVE CROSSING NUMBERS AND THEIR APPLICATION TO BINARY DOWNSAMPLING
Image Analysis and Stereology, 2011 A downsampling method for binary images is presented, which aims at preserving the topology of the image. It uses a general reference sampling structure.
Etienne Decencière, Michel Bilodeau
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Fundamental groups and Euler characteristics of sphere-like digital images
Applied General Topology, 2016 The current paper focuses on fundamental groups and Euler characteristics of various digital models of the 2-dimensional sphere. For all models that we consider, we show that the fundamental groups are trivial, and compute the Euler characteristics ...
Laurence Boxer, P. Christopher Staecker
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A precise TIN clipping algorithm for the digital mining design of the opencast coal mine
PLoS ONE, 2023 The triangulated irregular network (TIN) clipping algorithm is one of the vital algorithms for the digital mining design of opencast coal mines based on the geological digital elevation model (DEM) described by TIN.
Jingchang Zhao +3 more
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Certain topological methods for computing digital topological complexity
, 2021 In this paper, we examine the relations of two closely related concepts, the digital Lusternik-Schnirelmann category and the digital higher topological complexity, with each other in digital images. For some certain digital images, we introduce $κ-$topological groups in the digital topological manner for having stronger ideas about the digital higher ...
Is, Melih, Karaca, Ismet
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The Adaptive Topology of a Digital Image [PDF]
2012 Ninth International Symposium on Voronoi Diagrams in Science and Engineering, 2012 In order to enjoy a digital version of the Jordan Curve Theorem, it is common to use the closed topology for the foreground and the open topology for the background of a 2-dimensional binary image. In this paper, we introduce a single topology that enjoys this theorem for all thresholds decomposing a real-valued image into foreground and background ...
Herbert Edelsbrunner, Olga Symonova
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Generalized Normal Product Adjacency in Digital Topology
Applied General Topology, 2017 We study properties of Cartesian products of digital images for which adjacencies based on the normal product adjacency are used. We show that the use of such adjacencies lets us obtain many "product properties" for which the analogous statement is ...
Laurence Boxer
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STATISTICAL ANALYSIS OF THE LOCAL STRUT THICKNESS OF OPEN CELL FOAMS
Image Analysis and Stereology, 2013 Open cell foams are formed by an interconnected network of struts whose thickness varies locally. These variations were shown to have an impact on the elastic and thermal properties of the foam.
André Liebscher, Claudia Redenbach
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Integration of digital imagery for topology optimization
International Journal for Simulation and Multidisciplinary Design Optimization, 2023 To manufacture high-quality products with low manufacturing costs and optimal performance, better design concepts are required. The initial design concept can lead to inefficient structural design and higher manufacturing costs if the topology is not ...
Atmani Zoubir +3 more
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