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Discrete differential geometry information


Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there are polygons, meshes, and simplicial complexes. It is used in the study of computer graphics, geometry processing and topological combinatorics.

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Discrete geometry

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combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology. Although...

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Discrete differential geometry

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Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there...

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Discrete mathematics

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have discrete versions, such as discrete calculus, discrete Fourier transforms, discrete geometry, discrete logarithms, discrete differential geometry, discrete...

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Differential geometry

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Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It...

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Geometry

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methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc...

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Discrete exterior calculus

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operations such as the discrete wedge product, Hodge star, or Lie derivative can also be defined. Discrete differential geometry Discrete Morse theory Topological...

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Riemannian geometry

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Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an...

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Abstract differential geometry

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quantum gravity. Discrete differential geometry Analysis on fractals "Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry", Anastasios...

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Differential geometry of surfaces

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In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most...

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Discrete calculus

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Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of...

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Analytic geometry

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foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry. Usually the Cartesian coordinate system...

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Geometric design

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interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry. In architecture, geometric design...

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Computational geometry

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computational geometry are: Combinatorial computational geometry, also called algorithmic geometry, which deals with geometric objects as discrete entities...

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Geometry processing

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processing Discrete differential geometry Glossary of differential geometry and topology Industrial CT scanning List of interactive geometry software MeshLab...

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Continuous or discrete variable

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Continuous geometry Discrete geometry Continuous series representation Discrete series representation Discretization Interpolation Discrete measure Discrete space...

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Numerical methods for partial differential equations

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is a technique for solving partial differential equations (PDEs) in which all dimensions except one are discretized. MOL allows standard, general-purpose...

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Glossary of areas of mathematics

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fields. Discrepancy theory Discrete differential geometry Discrete exterior calculus Discrete geometry a branch of geometry that studies combinatorial...

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Discretization

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ISBN 978-0132116657. Discretization in Geometry and Dynamics: research on the discretization of differential geometry and dynamics Discretization at Wikipedia's...

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Complex geometry

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analysis. Complex geometry sits at the intersection of algebraic geometry, differential geometry, and complex analysis, and uses tools from all three areas...

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Quantum geometry

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tries to reconstruct the geometry of space-time from "first principles" is Discrete Lorentzian quantum gravity. Differential forms are used to express...

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Geometry and topology

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Alternatively, geometry has continuous moduli, while topology has discrete moduli. By examples, an example of geometry is Riemannian geometry, while an example...

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Projective geometry

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projective algebraic geometry (the study of projective varieties) and projective differential geometry (the study of differential invariants of the projective...

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Outline of geometry

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geometry Constructive solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance...

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List of geometers

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recreational geometry Robin Hartshorne (1938–) – geometry, algebraic geometry Phillip Griffiths (1938–) – algebraic geometry, differential geometry Enrico Bombieri...

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Synthetic geometry

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Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic...

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Tangled

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believably in water, and to surmount other similar challenges, discrete differential geometry was used to produce the desired effects, freeing the animators...

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