Fully reversible image rotation by 1-D filtering

Author

Condat, Laurent ; Van De Ville, Dimitri

Author_Institution

German Res. Center for Environ. Health, Inst. of Biomath. & Biometry, Munich

fYear

2008

fDate

12-15 Oct. 2008

Firstpage

913

Lastpage

916

Abstract

In this work, we propose a new image rotation algorithm. The main feature of our approach is the symmetric reversibility, which means that when using the same algorithm for the converse operation, then the initial data is recovered exactly. To that purpose, we decompose the lattice conversion process into three successive shear operations. The translations along the shear directions are implemented by 1-D convolutions, with new appropriate fractional delay filters. Also, the method is fast and provides high-quality resampled images.

Keywords

convolution; delay filters; image sampling; 1D convolutions; 1D filtering; fractional delay filters; fully reversible image rotation; high quality resampled images; lattice conversion process; successive shear operations; symmetric reversibility; Biomedical imaging; Delay; Filtering; Filters; Image converters; Image reconstruction; Interpolation; Lattices; Matrix decomposition; Noise reduction; Rotation; fractional delay filters; interpolation; resampling; shears;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2008. ICIP 2008. 15th IEEE International Conference on

Conference_Location

San Diego, CA

ISSN

1522-4880

Print_ISBN

978-1-4244-1765-0

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2008.4711904

Filename

4711904