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...hematical proof|mathematical]] objects and concrete [[Geometry|geometric]] objects. It has slightly different meanings in different contexts. See: * [[Abstract simplicial complex#Geometric realization|Geometric realization of an abstract simplicial complex]]; ...

...is also called "machine geometry", computer-aided geometric design, and [[geometric modelling]]. ...lavor of computational geometry that states problems in terms of geometric objects as [[discrete mathematics|discrete]] entities and hence the methods of thei ...

A '''2D geometric model''' is a [[geometric model]] of an object as a [[two-dimensional figure]], usually on the [[Eucl ...three-dimensional, a 2D geometric model is often adequate for certain flat objects, such as paper cut-outs and machine parts made of [[sheet metal]]. Other ex ...

...okipsy76]]|more=Fractal|desc=A '''[[fractal]]''' is "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approxima A fractal as a [[geometry|geometric]] object generally has the following features: ...

...p.429-446.</ref> as a uniform representation of multidimensional geometric objects (shapes). An object as a point set in multidimensional space is defined by == Geometric domain == ...

{{short description|Distance from one geometric object to another along a line perpendicular to both}} In [[geometry]], the '''perpendicular distance''' between two objects is the [[distance]] from one to the other, measured along a [[Line (geometr ...

{{For|the probability distribution|Geometric distribution}} ...irst studied in the 17th century, and the general topic became known as '''geometric probability'''. ...

{{Short description|Geometric pattern}} ...horled pattern''', which consists of a [[spiral]] or multiple [[concentric objects]] (including [[circle]]s, [[oval]]s and [[Arc (geometry)|arcs]]).<ref>{{cit ...

* [[Pencil (geometry)]], a family of geometric objects ...

...or prim, is a simple shape used in 3D modeling to build into more complex objects. ...t whose 3D shape is determined by a texture, more advanced than the game's geometric primitives ...

...s of [[computational geometry]] that states problems in terms of geometric objects as [[discrete mathematics|discrete]] entities and hence the methods of thei ...s]] for another flavor of computational geometry that deals with geometric objects as continuous entities and applies methods and algorithms of nature charact ...

...]] minimal surface. [[Minimal surface]]s are among the objects of study in geometric analysis.]] '''Geometric analysis''' is a [[mathematics|mathematical]] discipline where tools from [ ...

...described as "the theory of geometric and topological graphs" (Pach 2013). Geometric graphs are also known as [[spatial network]]s. == Different types of geometric graphs == ...

...in mathematics a geometric space whose points represent algebro-geometric objects ...

This article describes '''shape analysis''' to analyze and process geometric [[shape]]s. ...For a computer to automatically analyze and process geometric shapes, the objects have to be represented in a digital form. Most commonly a [[boundary repres ...

* [[Similarity measure]], a function that quantifies the similarity of two objects * [[Similitude (model)]], in engineering, describing the geometric, kinematic and dynamic 'likeness' of two or more systems ...

...l order that arises as the subset-inclusion relation on some collection of objects}} ...r]] that arises as the [[subset]]-inclusion relation on some collection of objects. In a simple way, every [[partially ordered set|poset]] ''P'' = (''X'',≤) ...

...e in [[computer graphics]] systems which perform image generation based on geometric models. While geometry pipelines were originally implemented in software, t ...l geometry-based graphic image [[Artistic rendering|rendering]] pipeline. Geometric computations may also be applied to transform polygon or repair [[surface n ...

...eparator]] theorems - theorems regarding the existence of lines separating objects in the plane without harming too many of them. ...e separation]] theorems - theorems regarding the possibility of separating objects in the plane using guillotine-cuts. ...

..., and the complete solution is available once the line has passed over all objects. ...breakthrough in the [[Analysis of algorithms|computational complexity]] of geometric algorithms when [[Michael Ian Shamos|Shamos]] and Hoey presented algorithms ...