Function representation

Function Representation (FRep or F-Rep) 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 (shapes). An object as a point set in multidimensional space is defined by a single continuous real-valued function of point coordinates $f(x_1,x_2, ..., x_n)$ 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 $f(x_1,x_2, ..., x_n) \ge 0$ belong to the object, and the points with $f(x_1,x_2, ..., x_n) < 0$ are outside of the object. The point set with $f(x_1,x_2, ..., x_n)=0$ is called an isosurface.

单词	Function Representation
释义	Function Representation 英语百科 Function representation Function Representation (FRep or F-Rep) 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 (shapes). An object as a point set in multidimensional space is defined by a single continuous real-valued function of point coordinates $f(x_1,x_2, ..., x_n)$ 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 $f(x_1,x_2, ..., x_n) \ge 0$ belong to the object, and the points with $f(x_1,x_2, ..., x_n) < 0$ are outside of the object. The point set with $f(x_1,x_2, ..., x_n)=0$ is called an isosurface.
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