# Method of image enhancement by splitting-signals

@article{Arslan2005MethodOI, title={Method of image enhancement by splitting-signals}, author={Fatma Arslan and Artyom M. Grigoryan}, journal={Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005.}, year={2005}, volume={4}, pages={iv/177-iv/180 Vol. 4} }

The method of tensor representation of an image with respect to the Fourier transform and its application for image enhancement is described. The method is based on the fact that a two-dimensional (2D) image can be represented by a set of 1D signals that split the 2D Fourier transform of the image into different groups of frequencies. Each splitting-signal carries information of the spectrum in a specific group. The processing of the image is reduced to processing splitting-signals. The…

## 6 Citations

On a Method of Paired Representation: Enhancement and Decomposition by Series Direction Images

- Computer ScienceJournal of Mathematical Imaging and Vision
- 2009

The representation of the image and 2-D DFT by paired splitting-signals leads to the new concepts of direction and series images, that define the resolution and periodic structures of theimage components, which can be packed in the form of the “resolution map” of the size of the images.

/spl alpha/-rooting image enhancement by paired splitting-signals

- Computer Science3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2006.
- 2006

To fulfil the Fourier transform-based enhancement of the image, the equivalent inverse formula in the spatial domain is derived and allows us to reduce the number of operations of multiplication to O(N), for image (N times N), instead of O( N2) in the traditional alpha-rooting method.

A novel method of splitting the 3D discrete Hartley transform

- Computer ScienceProceedings 2003 International Conference on Image Processing (Cat. No.03CH37429)
- 2003

The improvement of this method, the recurrent algorithm, that reduces about 1.6 times the number of multiplications is described, which is the best estimate of all existent algorithms.

Directional denoising of aerial images by splitting-signals

- Environmental Science, Engineering2006 IEEE Region 5 Conference
- 2006

A novel method combining the tensor transform by wavelet transform and denoising aerial imagery images for accurate assessment of information since the clutters interfere with useful information over the surface.

An Alpha Rooting Based Hybrid Technique for Image Enhancement

- Computer Science
- 2011

A new method by which alpha rooting can be used for enhancing even low contrast images by combining the gray level transformation algorithms, such as logarithmic transform and power law transform, with alpha rooting algorithm for contrast enhancement is explored.

FPGA Implementation Of Efficient Algorithm Of Image Splitting For Video Streaming Data

- Computer Science
- 2012

By using splitting higher precision and recall can be obtained by using splitting video splitting, and original image of particular size is split into blocks which are enlarged to the original dimension without blurring.

## References

SHOWING 1-4 OF 4 REFERENCES

2-D and 1-D multipaired transforms: frequency-time type wavelets

- MathematicsIEEE Trans. Signal Process.
- 2001

Considering paired transforms, this work analyzes simultaneously the splitting of the multidimensional Fourier transform as well as the presentation of the processed multiddimensional signal in the form of the short one-dimensional "signals", that determine such splitting.

Multidimensional Discrete Unitary Transforms: Representation: Partitioning, and Algorithms

- Computer Science
- 2003

This reference presents a more efficient, flexible, and manageable approach to unitary transform calculation and examines novel concepts in the design, classification, and management of fast…

Transform image enhancement

- Computer Science
- 1992

It is shown that the best transforms for transform image coding, namely, the scrambled real discrete Fourier transform, the discrete cosine transform, and the discrete Cosine-III transform are also the best for image enhancement.

Transform-based image enhancement algorithms with performance measure

- Computer ScienceIEEE Trans. Image Process.
- 2001

A new class of the "frequency domain"-based signal/image enhancement algorithms including magnitude reduction, log-magnitude reduction, iterative magnitude and a log-reduction zonal magnitude technique, based on the so-called sequency ordered orthogonal transforms, which include the well-known Fourier, Hartley, cosine, and Hadamard transforms.