3898

Risto A. Paju

Bridges

2020

I present a new approach to shape inversions that provides both computational simplicity and an alternative, unified understanding of the inversion operation. Instead of modifying the circle inversion formula for different shapes, my method changes the metric from Euclidean to a shape-dependent one. As a by-product, I outline a technique to construct new metrics and pseudo-metrics from given shapes, and suggest various non-inversion applications.