{
  "id": "enwiki-001307390452",
  "slug": "function-representation",
  "title": "Function representation",
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  "lead": "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 f(X) of point coordinates X[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) are outside of the object. The point set with f(x_1,x_2, ..., x_n)=0 is called an isosurface.",
  "body": "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 f(X) of point coordinates X[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) are outside of the object. The point set with f(x_1,x_2, ..., x_n)=0 is called an isosurface. ==See also== Boundary representation Constructive Solid Geometry Solid modeling Isosurface Signed distance function HyperFun Digital materialization ==References==",
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  "license": "CC BY-SA 4.0",
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    "title": "Function representation",
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        "family": "Anticloud FZ LLE",
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    "publisher": "Anticloud FZ LLE",
    "publisher-place": "Dubai, United Arab Emirates",
    "URL": "https://encyclopegia.org/a/function-representation",
    "issued": {
      "date-parts": [
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          2026,
          11,
          13
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          13
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