‘Continuous’ functions on digital pictures
From MaRDI portal
Publication:3771679
DOI10.1016/0167-8655(86)90017-6zbMath0633.68122OpenAlexW2056950489MaRDI QIDQ3771679
Publication date: 1986
Published in: Pattern Recognition Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-8655(86)90017-6
continuous functionsdigital geometrydigital picturesgeometrical transformationsneighborhood- preserving functions
Related Items (87)
The product property of the almost fixed point property for digital spaces ⋮ Connectivity preserving multivalued functions in digital topology ⋮ Digital homotopy relations and digital homology theories ⋮ Fixed point property of amenable planar vortexes ⋮ Beyond the Hausdorff metric in digital topology ⋮ Remarks on fixed point assertions in digital topology, 5 ⋮ Shy maps in topology ⋮ Fundamental groups of unbounded digital images ⋮ Digital products, wedges, and covering spaces ⋮ Remarks on Fixed Point Assertions in Digital Topology, 3 ⋮ Near-rings on digital Hopf groups ⋮ Digital fibrations ⋮ Equivalent conditions for digital covering maps ⋮ The fixed point property of the infinite K-sphere in the set Con*((Z2)*) ⋮ Digital Hausdorff distance on a connected digital image ⋮ The fixed point property of an \(M\)-retract and its applications ⋮ Digital H-spaces and actions in the pointed digital homotopy category ⋮ Approximate fixed point property and unions of convex disks in the digital plane ⋮ A compression of digital images derived from a Khalimsky topological structure ⋮ Digital products with \(PN_k\)-adjacencies and the almost fixed point property in \(DTC_k^\blacktriangle\) ⋮ The construction of simplicial groups in digital images ⋮ On the composition of digitally continuous multivalued functions ⋮ Digitally continuous multivalued functions, morphological operations and thinning algorithms ⋮ Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\) ⋮ Digital topological groups ⋮ Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications ⋮ Existence of a proper subspace of \(( \mathbb{Z}^n, ( T_{S_k} )^n)\) which is homeomorphic to the \(n\)-dimensional Khalimsky topological space ⋮ Digital continuity of rotations in the 2D regular grids ⋮ Remarks on fixed point assertions in digital topology, 6 ⋮ Digital semicovering and digital quasicovering maps ⋮ Unified approach to graphs and metric spaces ⋮ DIGITAL HOMOLOGY GROUPS OF DIGITAL WEDGE SUMS ⋮ The digital smash product ⋮ Digitally topological groups ⋮ Digital shy maps ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point property for digital spaces ⋮ Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces ⋮ Digital topological complexity numbers ⋮ Alternate product adjacencies in digital topology ⋮ Coincidence and self-coincidence of maps between digital images ⋮ A fundamental group for digital images ⋮ On the digitally quasi comultiplications of digital images ⋮ Compatible adjacency relations for digital products ⋮ Digitizations associated with several types of digital topological approaches ⋮ An \(MA\)-digitization of Hausdorff spaces by using a connectedness graph of the Marcus-Wyse topology ⋮ Characterization of the deletion of \((26, 6)\)-simple points as multivalued \((\mathcal{N}, 26)\)-retractions ⋮ Comparison among digital fundamental groups and its applications ⋮ Cold and Freezing Sets in the Digital Plane ⋮ A Digital Version of the Kakutani Fixed Point Theorem for Convex-valued Multifunctions ⋮ Non-product property of the digital fundamental group ⋮ Discrete Set-Valued Continuity and Interpolation ⋮ Estimation of the complexity of a digital image from the viewpoint of fixed point theory ⋮ Digital Lusternik–Schnirelmann category ⋮ Homotopy properties of sphere-like digital images ⋮ Some properties of digital covering spaces ⋮ Basic Sets in the Digital Plane ⋮ Unnamed Item ⋮ Homotopy based on Marcus-Wyse topology and its applications ⋮ Commuting and compatible mappings in digital metric spaces ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Contractibility and fixed point property: the case of Khalimsky topological spaces ⋮ Digitally Continuous Multivalued Functions ⋮ Digital Hurewicz theorem and digital homology theory ⋮ Order-configuration functions: Mathematical characterizations and applications to digital signal and image processing ⋮ Fundamental groups and Euler characteristics of sphere-like digital images ⋮ Digital fixed points, approximate fixed points, and universal functions ⋮ Digital calculus ⋮ Homotopy theory in digital topology ⋮ Homotopy relations for digital images ⋮ Thinning Algorithms as Multivalued ${\mathcal{N}}$ -Retractions ⋮ Multivalued functions in digital topology ⋮ Remarks on Fixed Point Assertions in Digital Topology ⋮ Remarks on Fixed Point Assertions in Digital Topology, 2 ⋮ The classification of digital covering spaces ⋮ Digital Lefschetz numbers and related fixed point theorems ⋮ Convexity and freezing sets in digital topology ⋮ Properties of digital homotopy ⋮ Digital fundamental groups and edge groups of clique complexes ⋮ Subsets and freezing sets in the digital plane ⋮ Connected sum of digital closed surfaces ⋮ Fixed point sets in digital topology, 1 ⋮ The fixed point property of the smallest open neighborhood of the n-dimensional Khalimsky topological space ⋮ Topological graphs based on a new topology on Zn and its applications ⋮ Subdivision of maps of digital images
This page was built for publication: ‘Continuous’ functions on digital pictures
