Answers are grounded in this paper and cite their sources.
We describe singularities of distance squared functions on singular surfaces in R³ parameterized by smooth map-germs A-equivalent to one of Sₖ, Bₖ, Cₖ and F₄ singularities in terms of extended geometric language via finite succession of blowing-ups. We investigate singularities of wave-fronts and caustics of such singular surfaces.
No takes yet. Share an insight, caveat, or question.
Fukui et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: