NON UNIFORM TO UNIFORM

Maps a point P from a domain with non uniform partition to a domain with uniform partition

Contents

Private method of pwas object.

Description

A domain partitioned into non uniform simplices can always be rescaled to a domain partitioned uniformly. To do so, a piecewise affine transformation is applied to all domain components. Each dimension partitioned in segments with vertices v0, v1, ..., vm is mapped into a dimension partitioned in segments with vertices 0, 1, ..., m.

Syntax

[Z,D,Nx] = nonUniformToUniform(X,P)

X is the matrix [Npoints x Ndim] of points to be mapped, P is a cell array whose elements contain the vertices of the non uniform partition for each dimension. Z are the points in the transformed domain, D is the mapped domain and Nx the number of partitions per dimensions.

Acknowledgements

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