Gauss-Steiner for Quadrilaterals
Han de Bruijn
The definition of Gauss-Steiner Continuization, as employed in this
article, is the following. A set of discrete real function values is
the range of values to be approximated, with a function that is
continuous and differentiable. This is to be accomplished with a comb
of Gauss distributions. The two-dimensional discretization has an
arbitrary Finite Element like mesh of quadrilaterals as its domain.
With help of another family of Steiner ellipses, an analogue of the
one-dimensional comb of Gauss distributions is constructed.
The discretization at hand is made continuous and differentiable in
this way. Prerequisite reading is the article "Steiner Ellipses and
Variances" and "Gauss-Steiner Continuization (for triangles)" at:
http://hdebruijn.soo.dto.tudelft.nl/jaar2011/steiners.pdf
http://hdebruijn.soo.dto.tudelft.nl/jaar2011/gauss_2d.pdf
Han de Bruijn
rasterspace
Han de Bruijn
> no skew tetragona?
Skew tetragonal is forthcoming, I promise.
http://www.metafysica.nl/tetragonal_axes.gif
Han de Bruijn