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List of numerical computational geometry topics

Index List of numerical computational geometry topics

List of numerical computational geometry topics enumerates the topics of computational geometry that deals with geometric objects as continuous entities and applies methods and algorithms of nature characteristic to numerical analysis. [1]

20 relations: Algorithm, B-spline, Bézier curve, Bézier surface, Combinatorics, Computational geometry, Computational topology, Contour line, Discrete mathematics, Geometric modeling, Hermite spline, Isosurface, Level-set method, List of combinatorial computational geometry topics, List of curves topics, Non-uniform rational B-spline, Numerical analysis, Parametric equation, Parametric surface, Spline (mathematics).

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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B-spline

In the mathematical subfield of numerical analysis, a B-spline, or basis spline, is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition.

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Bézier curve

A Bézier curve (pronounced in French) is a parametric curve frequently used in computer graphics and related fields.

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Bézier surface

Bézier surfaces are a species of mathematical spline used in computer graphics, computer-aided design, and finite element modeling.

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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Computational geometry

Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry.

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Computational topology

Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and computational complexity theory.

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Contour line

A contour line (also isocline, isopleth, isarithm, or equipotential curve) of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value.

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Discrete mathematics

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.

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Geometric modeling

Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.

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Hermite spline

In the mathematical subfield of numerical analysis, a Hermite spline is a spline curve where each polynomial of the spline is in Hermite form.

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Isosurface

An isosurface is a three-dimensional analog of an isoline.

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Level-set method

Level-set methods (LSM) are a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes.

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List of combinatorial computational geometry topics

List of combinatorial computational geometry topics enumerates the topics of computational geometry that states problems in terms of geometric objects as discrete entities and hence the methods of their solution are mostly theories and algorithms of combinatorial character.

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List of curves topics

This is an alphabetical index of articles related to curves.

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Non-uniform rational B-spline

Non-uniform rational basis spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces.

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Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

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Parametric equation

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

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Parametric surface

A parametric surface is a surface in the Euclidean space \Bbb R^3 which is defined by a parametric equation with two parameters \vec r: \Bbb^2 \rightarrow \Bbb^3.

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Spline (mathematics)

In mathematics, a spline is a function defined piecewise by polynomials.

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Outline of numerical computational geometry.

References

[1] https://en.wikipedia.org/wiki/List_of_numerical_computational_geometry_topics

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