Santaló's formula (source code)

= Santaló's formula
{wiki=Santaló's_formula}

Santaló's formula is a result in convex geometry that relates the integral of a function over a convex body in Euclidean space to properties of that body, particularly its boundary. It is named after the Argentine mathematician Luis Santaló. In a more specific mathematical context, Santaló's formula is often stated in relation to the volume of convex bodies and their projections onto lower-dimensional spaces.