ABSTRACT
Our ability to estimate geometrical parameters rests mainly on the section formulae of integral geometry [500, 510, 592]. These have the general form
Z α(Y ∩T )dT = β(Y ), (4.1)
where α and β are geometrical quantities, and Y is the spatial object of interest. The ‘probe’ T may be a plane, a line, a grid of parallel lines, etc. The integral is over all possible positions of T , and dT is the appropriate ‘uniform integration’ over positions of T .
