seece

Spherical cap cone analytic solution is a 1d problem, since the cone cap sphere slides along the ray. The intersection point to empty space sphere is always on the ray.

S : radius of cone cap sphere at t=1
r(d) : cone cap sphere radius at distance d

r(d) = d*S

p = distance of current SDF sample
SDF(p) = sdf function result at location p
x = distance after conservative step