HyperFun
Encyclopedia
HyperFun
is a programming language and software used to create, visualize, and fabricate volumetric 3D
and higher dimensional models. Unlike other modeling packages, it can easily model objects of the quality found in reality and nature. HyperFun is based on a new mathematical framework for geometry, function representation
(FRep), which provides a uniform method to model both surface geometry and internal composition simultaneously. It is also a compact and precise framework that can represent objects with unlimited complexity and properties. Compared to traditional modeling systems, HyperFun is able to digitally describe, create and modify models of any real or imagined object or environment.
HyperFun is an international Free and Open Source Software project. Members of the HyperFun team make a freely associated group of researchers and students from different countries all over the world (UK, Russia, France, Japan, Norway, USA, and others). Software tools supporting HyperFun are freely available at the HyperFun Project Web site (http://www.hyperfun.org) and source code can be found at Sourceforge.net (http://sourceforge.net/projects/hyperfun).
Technically, complex geometric objects in HyperFun are constructed using simple ones (primitives) and operations on them. Any object in three-dimensional space is defined by a function of point coordinates F(x,y,z). This continuous real function is positive inside the object, negative outside, and takes zero value on its surface. Similarly, a multidimensional object is defined by a function of several variables F(x1, x2, x3, ..., xn). For example, an object changing in time can be defined by F(x,y,z,t) with t representing time. Attributes such as color or material density are also defined by corresponding functions. This constitutes the new paradigm of procedural function-based volume modeling and rendering, where object's shape and properties are locally evaluated on request using "black box" procedures.
is a programming language and software used to create, visualize, and fabricate volumetric 3D
3D computer graphics
3D computer graphics are graphics that use a three-dimensional representation of geometric data that is stored in the computer for the purposes of performing calculations and rendering 2D images...
and higher dimensional models. Unlike other modeling packages, it can easily model objects of the quality found in reality and nature. HyperFun is based on a new mathematical framework for geometry, function representation
Function representation
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...
(FRep), which provides a uniform method to model both surface geometry and internal composition simultaneously. It is also a compact and precise framework that can represent objects with unlimited complexity and properties. Compared to traditional modeling systems, HyperFun is able to digitally describe, create and modify models of any real or imagined object or environment.
HyperFun is an international Free and Open Source Software project. Members of the HyperFun team make a freely associated group of researchers and students from different countries all over the world (UK, Russia, France, Japan, Norway, USA, and others). Software tools supporting HyperFun are freely available at the HyperFun Project Web site (http://www.hyperfun.org) and source code can be found at Sourceforge.net (http://sourceforge.net/projects/hyperfun).
Technically, complex geometric objects in HyperFun are constructed using simple ones (primitives) and operations on them. Any object in three-dimensional space is defined by a function of point coordinates F(x,y,z). This continuous real function is positive inside the object, negative outside, and takes zero value on its surface. Similarly, a multidimensional object is defined by a function of several variables F(x1, x2, x3, ..., xn). For example, an object changing in time can be defined by F(x,y,z,t) with t representing time. Attributes such as color or material density are also defined by corresponding functions. This constitutes the new paradigm of procedural function-based volume modeling and rendering, where object's shape and properties are locally evaluated on request using "black box" procedures.