Analysis of 2D intrinsic mode function

Author

Chang, Jincai ; Yang, Aimin ; Gong, Dianxuan ; Wang, Zhao

Author_Institution

Sch. of Sci., Hebei Polytech. Univ., Tangshan, China

Volume

1

fYear

2009

fDate

5-6 Dec. 2009

Firstpage

307

Lastpage

310

Abstract

The definition of 2D IMF is very important for bidimensional empirical mode decomposition of images. V. Vatchev analyzed 1D IMF in his doctoral dissertation, and introduced the concept of weak-IMF which point out that the solution of Sturm-Liouville equations can be regarded as 1D weak-IMF. In this paper we try to give the definition of 2D IMF and investigate the relations between the vibration theory of thin plate and 2D IMF. Three types of bivariate splines with certain mechanical meanings can be defined as 2D weak-IMF.

Keywords

Sturm-Liouville equation; plates (structures); splines (mathematics); vibrations; 1D weak-intrinsic mode function; 2D intrinsic mode function; Sturm-Liouville equations; bidimensional empirical mode decomposition; bivariate splines; thin plate; vibration theory; Data mining; Differential equations; Image analysis; Interpolation; Mechanical splines; Nonlinear equations; Scattering; Testing; Time series analysis; Vibrations; Bivariate Spline; EMD; IMF; Sturm-Liouville Equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Test and Measurement, 2009. ICTM '09. International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-4699-5

Type

conf

DOI

10.1109/ICTM.2009.5412931

Filename

5412931