Qualitativization of 3D Functions from a Discrete Numerical Representation

Author

Flores, Juan J. ; Rodriguez, Horacio

Author_Institution

Fac. de Ing. Electr., Univ. Michoacana, Morelia, Mexico

fYear

2009

fDate

9-13 Nov. 2009

Firstpage

191

Lastpage

196

Abstract

In this paper we propose a qualitative representation for 3D algorithms that given a numeric discrete sampling of a function, produce a qualitative version of it, expressed in the proposed representation. The data may present noisy due to errors, numerical imprecision, etc. We start filtering the information, then we segment the information into monotonic regions. Finally a landmark refinement is needed for generating the qualitative representation of the functions. The generated qualitative representation may then be used to perform qualitative reasoning about the function. The system has been tested by providing information to a program that performs qualitative reasoning about bifurcation diagrams of dynamic systems.

Keywords

bifurcation; functions; inference mechanisms; information filtering; knowledge representation; 3D function qualitativization; bifurcation diagrams; discrete numerical representation; dynamic systems; information filtering; landmark refinement; numeric discrete sampling; qualitative reasoning; qualitative representation; Artificial intelligence; Bifurcation; Helium; Information filtering; Information filters; Performance evaluation; Physics; Sampling methods; System testing; dynamic systems; qualitative reasoning; qualitative representation;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence, 2009. MICAI 2009. Eighth Mexican International Conference on

Conference_Location

Guanajuato

Print_ISBN

978-0-7695-3933-1

Type

conf

DOI

10.1109/MICAI.2009.32

Filename

5372694