Live briefing
Everything about 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 (shapes). An object as a point set in multidimensional space is defined by a single continuous real-valued function of point coordinates 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 belong to the object, and the points with are outside of the object. The point set with is called an isosurface. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Function representationA 5-minute orientation
- Skim a recent paper: Representation of associative functionsInfluential work since 2022
- Pick up a classic book: Conformal representationThe most-reprinted book on the subject
- Read the landmark paper: Stream function representation of nonlinear ocean wavesCited 282 times
- Go sideways: Level setA closely related topic
- Go sideways: Function of several real variablesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Stream function representation of nonlinear ocean waves
Dielectric function representation by B‐splines
Stochastic Harmonic Function Representation of Stochastic Processes
Function in Device Representation
QMDDs: Efficient Quantum Function Representation and Manipulation
Ground-state wave-function “representation”
A Sparse Representation for Function Approximation
Function representation based slicer for 3D printing
🆕 Influential since 2022
Representation of associative functions
Low-Rank Tensor Function Representation for Multi-Dimensional Data Recovery
The hinging hyperplanes: An alternative nonparametric representation of a production function.
Randomizing Human Brain Function Representation for Brain Disease Diagnosis
Knowledge graph embedding with inverse function representation for link prediction
📚 Books worth reading
Conformal representationConstantin Carathéodory · 1932
Is democracy possible?John Burnheim · 1985- 📕Representation Theory of Symmetric GroupsPierre-Loic Meliot · 2017
Representation of Lie groups and special functionsN. I͡A Vilenkin, N.Ja. Vilenkin · 1899
Conformal representationConstantin Carathéodory · 1932
Double Hall Algebra Approach to Affine Quantum Schur-Weyl TheoryBangming Deng, Jie Du · 2012
Generalized functionsIsrael M. Gel'fand · 1966- 📕Les C*-algèbres et leurs représentationsJacques Dixmier · 1964
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Level set In mathematics, a level set of a real-valued function f of n real variables is a set where the function takes on a given constant value c, that is: Lc(f)={(x1…
- Function of several real variables In mathematics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being…
- HyperFun HyperFun (from Hyperdimensional Functions) is a programming language and software used to create, visualize, and fabricate volumetric 3D and higher-dimensional…
- Implicit surface In mathematics, an implicit surface is a surface in Euclidean space defined by an equation F(x,y,z)=0. An implicit surface is the set of zeros of a function…
- Constructive solid geometry Constructive solid geometry (CSG; formerly called computational binary solid geometry) is a technique used in solid modeling. Constructive solid geometry…
- FP (programming language) FP (for functional programming) is a programming language created by John Backus to support the function-level programming paradigm. It allows building…
- Implicit function In mathematics, an implicit equation is a relation of the form R(x1,…,xn)=0, where R is a function of several variables (often a polynomial). For example…
- Normal (geometry) In geometry, a normal is an object (e.g. a line, ray, or vector) that is perpendicular to a given object. For example, the normal line to a plane curve…