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Lloyd's algorithm

Index Lloyd's algorithm

In computer science and electrical engineering, Lloyd's algorithm, also known as Voronoi iteration or relaxation, is an algorithm named after Stuart P. Lloyd for finding evenly spaced sets of points in subsets of Euclidean spaces and partitions of these subsets into well-shaped and uniformly sized convex cells. [1]

28 relations: ACM SIGGRAPH, Centroid, Centroidal Voronoi tessellation, Colors of noise, Computer science, Data compression, Dither, Electrical engineering, Euclidean space, Eurographics, Farthest-first traversal, Finite element method, IEEE Transactions on Information Theory, Information theory, K-means clustering, K-means++, Laplacian smoothing, Linde–Buzo–Gray algorithm, Mean shift, Monte Carlo method, Mosaic, Non-Euclidean geometry, Quantization (signal processing), Stippling, Taxicab geometry, Triangle mesh, Two-dimensional space, Voronoi diagram.

ACM SIGGRAPH

ACM SIGGRAPH is the international Association for Computing Machinery's Special Interest Group on Computer Graphics and Interactive Techniques based in New York.

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Centroid

In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean position of all the points in the shape.

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Centroidal Voronoi tessellation

In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation or Voronoi diagram.

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Colors of noise

In audio engineering, electronics, physics, and many other fields, the color of noise refers to the power spectrum of a noise signal (a signal produced by a stochastic process).

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Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.

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Data compression

In signal processing, data compression, source coding, or bit-rate reduction involves encoding information using fewer bits than the original representation.

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Dither

Dither is an intentionally applied form of noise used to randomize quantization error, preventing large-scale patterns such as color banding in images.

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Electrical engineering

Electrical engineering is a professional engineering discipline that generally deals with the study and application of electricity, electronics, and electromagnetism.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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Eurographics

Eurographics is a Europe-wide professional computer graphics association.

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Farthest-first traversal

In computational geometry, the farthest-first traversal of a bounded metric space is a sequence of points in the space, where the first point is selected arbitrarily and each successive point is as far as possible from the set of previously-selected points.

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Finite element method

The finite element method (FEM), is a numerical method for solving problems of engineering and mathematical physics.

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IEEE Transactions on Information Theory

IEEE Transactions on Information Theory is a monthly peer-reviewed scientific journal published by the IEEE Information Theory Society.

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Information theory

Information theory studies the quantification, storage, and communication of information.

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K-means clustering

k-means clustering is a method of vector quantization, originally from signal processing, that is popular for cluster analysis in data mining.

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K-means++

In data mining, k-means++ is an algorithm for choosing the initial values (or "seeds") for the ''k''-means clustering algorithm.

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Laplacian smoothing

Laplacian smoothing is an algorithm to smooth a polygonal mesh.

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Linde–Buzo–Gray algorithm

The Linde–Buzo–Gray algorithm (introduced by Yoseph Linde, Andrés Buzo and Robert M. Gray in 1980) is a vector quantization algorithm to derive a good codebook.

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Mean shift

Mean shift is a non-parametric feature-space analysis technique for locating the maxima of a density function, a so-called mode-seeking algorithm.

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Monte Carlo method

Monte Carlo methods (or Monte Carlo experiments) are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results.

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Mosaic

A mosaic is a piece of art or image made from the assemblage of small pieces of colored glass, stone, or other materials.

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Non-Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.

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Quantization (signal processing)

Quantization, in mathematics and digital signal processing, is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set.

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Stippling

Stippling is the creation of a pattern simulating varying degrees of solidity or shading by using small dots.

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Taxicab geometry

A taxicab geometry is a form of geometry in which the usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates.

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Triangle mesh

A triangle mesh is a type of polygon mesh in computer graphics.

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Two-dimensional space

Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).

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Voronoi diagram

In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane.

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Redirects here:

Lloyd's Algorithm, Lloyds algorithm, Voronoi iteration.

References

[1] https://en.wikipedia.org/wiki/Lloyd's_algorithm

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