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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have discrete versions, such as discrete calculus, discrete Fourier transforms, discretegeometry, discrete logarithms, discretedifferentialgeometry, discrete...
Differentialgeometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It...
operations such as the discrete wedge product, Hodge star, or Lie derivative can also be defined. DiscretedifferentialgeometryDiscrete Morse theory Topological...
Riemannian geometry is the branch of differentialgeometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an...
quantum gravity. Discretedifferentialgeometry Analysis on fractals "Geometry of Vector Sheaves: An Axiomatic Approach to DifferentialGeometry", Anastasios...
In mathematics, the differentialgeometry of surfaces deals with the differentialgeometry of smooth surfaces with various additional structures, most...
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...
foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry. Usually the Cartesian coordinate system...
interesting research and results in geometry processing, computer-aided geometric design, and discretedifferentialgeometry. In architecture, geometric design...
computational geometry are: Combinatorial computational geometry, also called algorithmic geometry, which deals with geometric objects as discrete entities...
processing Discretedifferentialgeometry Glossary of differentialgeometry and topology Industrial CT scanning List of interactive geometry software MeshLab...
is a technique for solving partial differential equations (PDEs) in which all dimensions except one are discretized. MOL allows standard, general-purpose...
ISBN 978-0132116657. Discretization in Geometry and Dynamics: research on the discretization of differentialgeometry and dynamics Discretization at Wikipedia's...
analysis. Complex geometry sits at the intersection of algebraic geometry, differentialgeometry, and complex analysis, and uses tools from all three areas...
tries to reconstruct the geometry of space-time from "first principles" is Discrete Lorentzian quantum gravity. Differential forms are used to express...
Alternatively, geometry has continuous moduli, while topology has discrete moduli. By examples, an example of geometry is Riemannian geometry, while an example...
projective algebraic geometry (the study of projective varieties) and projective differentialgeometry (the study of differential invariants of the projective...
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic...
believably in water, and to surmount other similar challenges, discretedifferentialgeometry was used to produce the desired effects, freeing the animators...