Results 31 to 40 of about 42,065 (261)
Remarks on fixed point assertions in digital topology, 8
Applied General TopologyThis paper continues a series in which we study deficiencies in previously published works concerning fixed point assertions for digital images.
Laurence Boxer
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Remarks on fixed point assertions in digital topology, 4
Applied General Topology, 2020 We continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we improve upon.
Laurence Boxer
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Topological Digital Topology [PDF]
, 2003 The usefulness of topology in science and mathematics means that topological spaces must be studied, and computers should be used in this study. We discuss how many useful spaces (including all compact Hausdorff spaces) can be approximated by finite spaces, and these finite spaces are completely determined by their specialization orders.
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An attribute-based image segmentation method
Materials Research, 1999 This work addresses a new image segmentation method founded on Digital Topology and Mathematical Morphology grounds. The ABA (attribute based absorptions) transform can be viewed as a region-growing method by flooding simulation working at the scale of ...
M.C. de Andrade +2 more
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Improved Topological Approximations by Digitization [PDF]
, 2019 Čech complexes are useful simplicial complexes for computing and analyzing topological features of data that lies in Euclidean space. Unfortunately, computing these complexes becomes prohibitively expensive for large-sized data sets even for medium-to-low dimensional data.
Choudhary, Aruni +2 more
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Mathematics, 2019 This paper explores a certain relationship between the almost fixed point property (AFPP for short) of a compact and n-dimensional Euclidean space and that of its digitized space.
Sang-Eon Han
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Information and Control, 1979 Topological relationships among parts of a digital picture, such as connectedness and surroundedness, play an important role in picture analysis and description. This paper generalizes these concepts to fuzzy subsets, and develops some of their basic properties.
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An alternative digital topology
Electronic Notes in Discrete Mathematics, 2003 Abstract We define a new topology on Z2 with respect to which, in difference to the commonly used Khalimsky topology, the curves fulfilling an analogy of the Jordan curve theorem can turn at the acute angle π/4. We also present a natural graph on Z2 all circuits in which fulfill the analogy of the Jordan curve theorem with respect to the topology ...
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Digital Imaging: A Unified Topological Framework [PDF]
Journal of Mathematical Imaging and Vision, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazo, Loïc +3 more
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Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
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