Visualization of free form volumes

An algorithm that creates planar and arbitrarily curved sections of free-form volumes is presented. The definition of free-form volumes generalizes techniques from free-form curves and surfaces to trivariate representation. The definition is given for volumes in the Bernstein-Bezier representation. The author illustrates an intersection algorithm that can be used to perform intersection operations on free-form volumes. Some calculated examples are given. The algorithm can be used as a subroutine for algorithms which are able to perform more general intersections of free-form volumes, e.g. Boolean operations on two free-form volumes