Two Area Preserving Maps from the Square to the p-Ball

Abstract

We construct two area preserving maps from the square to the p-ball (the domain defined by |x|^p + |y|^p ≤ |a|^p) and use them to obtain low distorted uniform grids on the p-ball.

Keywords:

• area preserving map
• distorsion
• uniform grid
• square
• ball

AMS Subject Classification:

• 65N50
• 68U05
• 65D18