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Book Review: Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science [PDF]
Mathematics of Computation, 2001 Stanley Osher
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Computational Geometry Applications [PDF]
Southeast Europe Journal of Soft Computing, 2018 Computational geometry is an integral part of mathematics and computer science deals with the algorithmic solution of geometry problems. From the beginning to today, computer geometry links different areas of science and techniques, such as the theory ...
Saracevic, Muzafer, Selimi, Aybeyan
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Hypercompositional Algebra, Computer Science and Geometry [PDF]
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s path has crossed, among others, with the paths of the theory of Formal Languages, Automata and ...
Gerasimos Massouros, Christos Massouros
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Robustness and Randomness [PDF]
, 2006 Robustness problems of computational geometry algorithms is a topic that has been subject to intensive research efforts from both computer science and mathematics communities.
Foufou, Sebti +2 more
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Geometry, analysis, and computation in mathematics and applied sciences. Final report [PDF]
, 1995 Since 1993, the GANG laboratory has been co-directed by David Hoffman, Rob Kusner and Peter Norman. A great deal of mathematical research has been carried out here by them and by GANG faculty members Franz Pedit and Nate Whitaker. Also new communication tools, such as the GANG Webserver have been developed. GANG has trained and supported nearly a dozen
Kusner, R. B. +5 more
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Combinatorial Optimization [PDF]
, 2018 Combinatorial Optimization is an active research area that developed from the rich interaction among many mathematical areas, including combinatorics, graph theory, geometry, optimization, probability, theoretical computer science, and many others.
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MGOS: A library for molecular geometry and its operating system [PDF]
, 2019 The geometry of atomic arrangement underpins the structural understanding of molecules in many fields. However, no general framework of mathematical/computational theory for the geometry of atomic arrangement exists.
Bhak, Jong +10 more
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Logic, Algebra, and Geometry at the Foundation of Computer Science [PDF]
, 2019 This paper shows by examples how the Theory of Programming can be taught to first-year CS undergraduates. The only prerequisite is their High School acquaintance with algebra, geometry, and propositional calculus. The main purpose of teaching the subject is to support practical programming assignments and projects throughout the degree course. The aims
Tony Hoare +2 more
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OpenACC Based GPU Parallelization of Plane Sweep Algorithm for Geometric Intersection [PDF]
, 2019 Line segment intersection is one of the elementary operations in computational geometry. Complex problems in Geographic Information Systems (GIS) like finding map overlays or spatial joins using polygonal data require solving segment intersections. Plane
AB Khlopotine +4 more
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Computational Geometric and Algebraic Topology [PDF]
, 2015 Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology.
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