Spatially adaptive PDEs for robust image sharpening

Author

Diop, E.H.S. ; Angulo, J.

Author_Institution

Math. & Syst. Dept., Mines ParisTech, Fontainebleau, France

fYear

2012

fDate

Sept. 30 2012-Oct. 3 2012

Firstpage

949

Lastpage

952

Abstract

We present here discrete and continuous partial differential equation (PDE) -based methods for image enhancement/ sharpening. Using more robust and spatially adaptive PDEs, multiscale morphological operators that account image features are introduced, and then, used to provide a discrete enhancement operator, thanks to the former Kramer and Bruckner filter. A novel PDE associated to the introduced enhancement operator is established in 2D. Both the discrete and PDE-based sharpening filters are illustrated on synthetic, binary and real images.

Keywords

filtering theory; image enhancement; mathematical morphology; partial differential equations; PDE-based sharpening filters; continuous partial differential equation-based method; discrete enhancement operator; discrete partial differential equation-based method; discrete sharpening filters; image enhancement; image features; mathematical morphology; multiscale morphological operators; robust image sharpening; spatially adaptive PDE; Equations; Image analysis; Image enhancement; Mathematical model; Morphology; Pattern recognition; Robustness;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing (ICIP), 2012 19th IEEE International Conference on

Conference_Location

Orlando, FL

ISSN

1522-4880

Print_ISBN

978-1-4673-2534-9

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2012.6467018

Filename

6467018