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・ Laplace transform
・ Laplace transform applied to differential equations
・ Laplace's demon
・ Laplace's equation
・ Laplace's law
・ Laplace's method
・ LaPlace, Louisiana
・ Laplace-P
・ LaplacesDemon
・ Laplace–Beltrami operator
・ Laplace–Carson transform
・ Laplace–Runge–Lenz vector
・ Laplace–Stieltjes transform
・ Laplacian matrix
・ Laplacian of the indicator
Laplacian smoothing
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Laplacian smoothing : ウィキペディア英語版
Laplacian smoothing

Laplacian smoothing is an algorithm to smooth a polygonal mesh.〔.〕〔
〕 For each vertex in a mesh, a new position is chosen based on local information (such as the position of neighbors) and the vertex is moved there. In the case that a mesh is topologically a rectangular grid (that is, each internal vertex is connected to four neighbors) then this operation produces the Laplacian of the mesh.
More formally, the smoothing operation may be described per-vertex as:
:\bar_= \frac \sum_^\bar_j
Where N is the number of adjacent vertices to node i, \bar_ is the position of the j-th adjacent vertex and \bar_ is the new position for node i.
==See also==

*Tutte embedding, an embedding of a planar mesh in which each vertex is already at the average of its neighbors' positions

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Laplacian smoothing」の詳細全文を読む



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