Abstract

JIMENEZ-FERNANDEZ, V.M.; AGUSTIN-RODRIGUEZ, J.; MARCELO-JULIAN, P.  and  AGAMENNONI, O.. Evaluation algorithm for a decomposed simplicial piecewise-linear formulation. J. appl. res. technol [online]. 2008, vol.6, n.3, pp.159-169. ISSN 2448-6736.

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.

Keywords : Simplicial; Piecewise-Linear; Evaluation.

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