2008 15th IEEE International Conference on Image Processing 2008
DOI: 10.1109/icip.2008.4711904
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Fully reversible image rotation by 1-D filtering

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-qu… Show more

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Cited by 6 publications
(4 citation statements)
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“…Therefore, the method code could be enhanced, in particular for the rotation of the images using a recursive image rotation 26 instead of a simple interpolation 18 .…”
Section: Discussionmentioning
confidence: 99%
“…Therefore, the method code could be enhanced, in particular for the rotation of the images using a recursive image rotation 26 instead of a simple interpolation 18 .…”
Section: Discussionmentioning
confidence: 99%
“…3, interpolations or pixel placements are required at each shear step. Thus, there are two important techniques for rotating images: interpolations [10,11,12] and discrete reversible rotations without loss of pixels [13,14].…”
Section: Rotation With Image Shearmentioning
confidence: 99%
“…Since previous transformations behave as low-pass filters, important image structures can be lost/smoothed by using them, especially high-frequency information. Instead of interpolating, the basic idea of discrete rotations is to replace each horizontal and vertical shear transformation with one to one pixel displacements [13,14]. The called quasi-shear transformation Q defined by:…”
Section: Discrete Rotationmentioning
confidence: 99%
“…Previously, a symmetric reversible method was proposed by Laurent Condat and Dimitri Van De Ville [17]. In this method, a 1-D filter is designed to convolve the rotated image with appropriate fractional delay filters.…”
Section: Related Workmentioning
confidence: 99%