Threshold Topologies and Separation Polynomials of Digital Images
A digital image is modeled as a finite metric space by equipping its pixel set with a color distance induced by a norm on R3. For a threshold δ, we study the threshold topology Tδ, generated by δ-chain connectedness, and the separation polynomial CΨ(z;δ), which enumerates δ-separated pixel sets. We prove that each Tδ i...