Analytical Methods for Squaring the Disc

Understand

We present and discuss several old and new methods for mapping a circular disc to a square.

• In particular, we present analytical expressions for mapping each point (u,v) inside the circular disc to a point (x,y) inside a square region.
• Ideally, we want the mapping to be smooth and invertible.
• In addition, we put emphasis on mappings with desirable properties.