# Kernel PCA for Image Compression

@inproceedings{Huhle2006KernelPF, title={Kernel PCA for Image Compression}, author={Benjamin Huhle}, year={2006} }

Hiermit versichere ich, die vorliegende Arbeit selbständig verfasst und keine anderen als die angegebenen Quellen und Hilfsmittel verwendet zu haben.

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## 5 Citations

### A hybrid randomized algorithm for image compression

- Mathematics
- 2012

In this paper, we present a randomized algorithm for image compression by improving the Markov chain Monte Carlo algorithm and by applying the principal component analysis method. Some Numerical…

### Lossless coding of hyperspectral images with principal polynomial analysis

- Computer Science2014 IEEE International Conference on Image Processing (ICIP)
- 2014

It is found that reversible PPA performs worse than PCA due to the high impact of the rounding operation errors and to the amount of side information, and two generalizations are proposed: Backwards PPA, where polynomial estimations are performed in reverse order, and Double-Sided P PA, where more than a single dimension is used in the predictions.

### Low-loss image compression techniques for cutting tool images: a comparative study of compression quality measures

- Computer Science
- 2010

This work accomplishes a comparative study between two distinct image compression techniques, namely the Lifting technique and the Principal Components Analysis (PCA), in order to determine what of…

### Low-loss image compression techniques for cutting tool images: a comparative study of compression quality measures DOI: 10.5585/exacta.v8i2.2000

- Computer Science
- 2010

This work accomplishes a comparative study between two distinct image compression techniques, namely the Lifting technique and the Principal Components Analysis (PCA), in order to determine what of…

### Spectral decorrelation for coding remote sensing data

- Computer Science, Geography
- 2017

Hoy en dia, los datos de teledeteccion son esenciales para muchas aplicaciones dirigidas a la observacion de la tierra. El potencial de los datos de teledeteccion en ofrecer informacion valiosa…

## References

SHOWING 1-10 OF 44 REFERENCES

### Learning with kernels

- Computer Science
- 1998

This book is intended to be a guide to the art of self-consistency and should not be used as a substitute for a comprehensive guide to self-confidence.

### Transform coding with backward adaptive updates

- Computer ScienceIEEE Trans. Inf. Theory
- 2000

The Karhunen-Loeve transform (KLT) is optimal for transform coding of a Gaussian source. This is established for all scale-invariant quantizers, generalizing previous results. A backward adaptive…

### Information Theory, Inference, and Learning Algorithms

- Computer ScienceIEEE Transactions on Information Theory
- 2004

Fun and exciting textbook on the mathematics underpinning the most dynamic areas of modern science and engineering.

### Wavelet transforms in a JPEG-like image coder

- Computer ScienceIEEE Trans. Circuits Syst. Video Technol.
- 1997

The discrete wavelet transform is incorporated into the JPEG baseline coder for image coding. The discrete cosine transform is replaced by an association of two-channel filter banks connected…

### Iterative kernel principal component analysis for image modeling

- Computer ScienceIEEE Transactions on Pattern Analysis and Machine Intelligence
- 2005

A new iterative method for performing KPCA is proposed, the kernel Hebbian algorithm, which iteratively estimates the kernel principal components with only linear order memory complexity.

### Analysis of low bit rate image transform coding

- Computer ScienceIEEE Trans. Signal Process.
- 1998

Calculations based on high-resolution quantizations prove that the distortion rate D(R) of an image transform coding is proportional to 2/sup -2R/ when R is large enough, and shows that the compression performance of an orthonormal basis depends mostly on its ability to approximate images with a few nonzero vectors.

### Implicit Wiener Series for Higher-Order Image Analysis

- MathematicsNIPS
- 2004

First results show that image structures such as lines or corners can be predicted correctly, and that pixel interactions up to the order of five play an important role in natural images.

### Suboptimality of the Karhunen-Loeve transform for transform coding

- Computer ScienceIEEE Transactions on Information Theory
- 2004

This paper shows that in both the fixed-rate and the variable-rate coding frameworks there exist sources for which the performance penalty for using a "worst" KLT can be made arbitrarily large, and demonstrates in both frameworks that even a best KLT gives suboptimal performance.

### Suboptimality of the Karhunen-Loève Transform for Transform Coding

- Computer ScienceIEEE Trans. Inf. Theory
- 2004

This paper shows that in both the fixed-rate and the variable-rate coding frameworks there exist sources for which the performance penalty for using a "worst" KLT can be made arbitrarily large, and demonstrates in both frameworks that even a best KLT gives suboptimal performance.

### Embedded image coding using zerotrees of wavelet coefficients

- Computer ScienceIEEE Trans. Signal Process.
- 1993

The embedded zerotree wavelet algorithm (EZW) is a simple, yet remarkably effective, image compression algorithm, having the property that the bits in the bit stream are generated in order of…