HyperFun

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title: "HyperFun" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["geometric-algorithms", "3d-graphics-software", "domain-specific-programming-languages"] topic_path: "technology/programming-languages" source: "https://en.wikipedia.org/wiki/HyperFun" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

::data[format=table title="Infobox software"]

Field	Value
name	HyperFun
developer	Valery Adzhiev
Alexander Pasko
Anatoly Ossipov
Eric Fausett
Oleg Fryazinov, et al.
latest_preview_version	2.03
latest_preview_date
operating_system	Cross-platform
genre	FRep 3D modeling system
license	The Common Good Public License BETA 1.0
website
::

HyperFun (from Hyperdimensional Functions){{Citation | last1 = Cartwright | first1 = R. | last2 = Adzhiev | first2 = V. | last3 = Pasko | first3 = A.A. | last4 = Goto | first4 = Y. | last5 = Kunii | first5 = T.L. | url = http://www.hyperfun.org/Fweb.html | url-status = deviated | archive-url = https://web.archive.org/web/20110507003748/http://www.hyperfun.org/Fweb.html | archive-date = 2011-05-07 | title = Web-based shape modeling with HyperFun | journal = IEEE Computer Graphics and Applications | volume = 25 | issue = 2 | pages = 60–69 | publisher = IEEE Computer Society Press | year=2005 | doi = 10.1109/MCG.2005.49 | pmid=15794150 | s2cid = 1062005}} | last = Chen | first = J.X. | title = Guide to Graphics Software Tools | edition = 1st | publisher = Springer Verlag | place = New York | isbn = 0-387-95049-4 | year = 2002 Data Formats: Alphabetical list of 3D API specifications and data formats is a programming language{{cite web |work = HyperFun language specification, version 2.0 | title = HyperFun: Language for FRep Volume Modeling | url = https://f-rep.org/hyperfun/language | url-status = live | archive-url = https://web.archive.org/web/20120814091150/http://hyperfun.org/wiki/doku.php?id=hyperfun:language | archive-date = 2012-08-14 | accessdate = 5 August 2012}} and software used to create, visualize, and fabricate volumetric 3D and higher-dimensional models.

The team maintaining the HyperFun project is a freely associated group of researchers and students from different countries from all over the world (UK, Russia, France, Japan, Norway, USA, and others) called the Digital Materialization Group.

Overview

HyperFun allows users to easily model objects of the quality found in reality and nature. The system 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.

Concepts

Technically, complex geometric objects in HyperFun are constructed from simple primitives on which various operations are performed. 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 over 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 an object's shape and properties are locally evaluated on request using black box procedures.

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