# Laplacian

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Related to Laplacian: Laplacian operator

## Laplacian

[lə′pläs·ē·ən]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Caption: Figure 7: Entropy and K-complexity of (a) adjacency matrix, (b) Laplacian matrix, (c) degree list, and (d) degree distribution under gradual transition from Watts-Strogatz model to Erdos-Renyi and Barabasi-Albert models.
This is clearly not acceptable and so, we employ the machinery of Laplacian process to ensure [mathematical expression not reproducible] is also random.
Then spectral clusters are generated with the similarity distance bound values of the extracted skin color features using Laplacian form.
The density of proper mass (source of gravitational field) in equation (1) can vary with coordinate time and the Euclidean Laplacian cannot account for this possible variation.
Keywords: Laplacian solver, randomized Kaczmarz, cycle basis
So, many stages of pyramid and DWT are used to select significant values, and distinct values are only detected from Laplacian images or high frequency bands .
In the following, it was adopted the abbreviations SL, EF, and SL-EF to stand for surface Laplacian, tangential scalp electric field (only two spatial components), and the combined surface Laplacian and tangential electric field derivation, respectively.
We observe that, first; a multi-scale disintegration is achieved through a Laplacian pyramid.
Section 2 introduces Laplacian Pyramid transform method; Section 3 describes Multi-resolution image fusion algorithm based on multi-factor weights; Section 4 describes fusion result evaluation method; Section 5 presents the experimental results; and finally Section 6 are conclusions.
Diffusion is governed by a differential equation that can be expressed in terms of the Laplacian. In algorithms that determine network kinetics, the Laplacian is a recurring theme.
Forward, backward, and central differences, the five-point stencil for approximating Laplacian in a two-dimensional domain, and the numerical analysis of the convergence rate of the related approximation errors, based on the application of Taylor series, require no introduction for anyone working in the field of scientific computing.

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