EVALUATION ALGORITHM FOR A DECOMPOSED SIMPLICIAL PIECEWISE-LINEAR FORMULATION
In this work an algorithm for the evaluation of N-dimensional piecewise-linear (PWL) functions is presented. The type of PWL representation which is considered is the denominated simplicial representation that is defined in a N-dimensional domain partitioned by hyperplanes and divided into simplices...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Redalyc-INAOE |
| OAI Identifier: | oai:redalyc.org:47413023003 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=47413023003 |
| Access Level: | acceso abierto |
| Palabra clave: | Ingeniería Linear Piecewise Simplicial Evaluation |
| Sumario: | In this work an algorithm for the evaluation of N-dimensional piecewise-linear (PWL) functions is presented. The type of PWL representation which is considered is the denominated simplicial representation that is defined in a N-dimensional domain partitioned by hyperplanes and divided into simplices. The algorithm performs a local function computation into the specific simplex where the evaluation point is found. The simplicial PWL (S-PWL) interpolating equations are collected into a matrix system which adopts the form of the decomposed PWL models. The algorithm works directly with this decomposed model and determines the value of the S-PWL function simply by its values on the vertices. |
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