1 Answers
Function Representation is used in solid modeling, volume modeling and computer graphics. FRep was introduced in "Function representation in geometric modeling: concepts, implementation and applications" as a uniform representation of multidimensional geometric objects. An object as a point set in multidimensional space is defined by a single continuous real-valued function f {\displaystyle f} of point coordinates X {\displaystyle X} which is evaluated at the given point by a procedure traversing a tree structure with primitives in the leaves and operations in the nodes of the tree. The points with f ≥ 0 {\displaystyle f\geq 0} belong to the object, and the points with f < 0 {\displaystyle f<0} are outside of the object. The point set with f = 0 {\displaystyle f=0} is called an isosurface.