Publication

An iterative surface model for timber construction

2010
Conference Papers

Abstract

In the field of timber construction, we work on surface design that is based on an iterative model called "IFS" (Iterated Function System). The modeled figures must meet certain properties in order to ensure their physical feasibility. For the construction of structures based on timber panels, we research in planarity constraints of quadrilateral meshes. First, we will introduce a particular model for a certain type of planar quadrilateral meshes. This surface model is defined as a certain combination of two polylines. Further, we present some basic properties of the iterative model employed, which is inspired by the IFS model. Finally, we define a surface model generated by an operator that combines two IFS, each describing a one curve.

Official source

https://infoscience.epfl.ch/entities/publication/fd4917e9-fed4-447a-a87c-96d7eeda7311

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2010
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/fd4917e9-fed4-447a-a87c-96d7eeda7311

About this result

Related concepts (32)

Iterated function system

In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. They were introduced in 1981. IFS fractals, as they are normally called, can be of any number of dimensions, but are commonly computed and drawn in 2D. The fractal is made up of the union of several copies of itself, each copy being transformed by a function (hence "function system").

Types of mesh

A mesh is a representation of a larger geometric domain by smaller discrete cells. Meshes are commonly used to compute solutions of partial differential equations and render computer graphics, and to analyze geographical and cartographic data. A mesh partitions space into elements (or cells or zones) over which the equations can be solved, which then approximates the solution over the larger domain. Element boundaries may be constrained to lie on internal or external boundaries within a model.

Type system

In computer programming, a type system is a logical system comprising a set of rules that assigns a property called a type (for example, integer, floating point, string) to every "term" (a word, phrase, or other set of symbols). Usually the terms are various constructs of a computer program, such as variables, expressions, functions, or modules. A type system dictates the operations that can be performed on a term. For variables, the type system determines the allowed values of that term.

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