where ζi ∼ N (0, 1), and the Xi are marginally i.i.d. with density g on [0, 1]. This nonparametric regression problem with random design is a more realistic model than assuming the data will be observed on a regular grid. How much of a difference does it make whether the Xi are randomly placed given that we have a sufficiently large number of observations? Our approach will be to find a statist...

This paper presents a technique for face recognition which uses wavelet transform to derive desirable facial features. Three level decompositions are used to form the pyramidal multiresolution features to cope with the variations due to illumination and facial expression changes. The fractional power polynomial kernel maps the input data into an implicit feature space with a nonlinear mapping. ...

Image fusion is defi ned as the process of combining two or more different images into a new single image retaining important features from each image with extended information content. There are two approaches to image fusion, namely spatial fusion and transform fusion and three levels namely pixel, feature and region level. In spatial fusion, the pixel values from the source images are direct...

in analyzing a signal, especially a non-stationary signal, it is often necessarythe desired signal to be segmented into small epochs. segmentation can beperformed by splitting the signal at time instances where signal amplitude orfrequency change. in this paper, the signal is initially decomposed into signals withdifferent frequency bands using wavelet transform. then, fractal dimension of thed...

Abstract—To detect faults in a time-dependent process, we apply a discrete wavelet transform (DWT) to several independently replicated datasets generated by that process. The DWT can capture irregular data patterns such as sharp “jumps” better than the Fourier transform and standard statistical procedures without adding much computational complexity. Our wavelet coefficient selection method eff...

Earthquake force, loading more than structural capacity, cracking, material fatigue and the other unpredicted events were undeniable in the structure life cycle in order that environmental conditions of the structure would be changed and treats health. Damage of structures such as crack, corrosion of the post tension cables from inappropriate grouting of the post tension structures and etc. can...

This paper proposes new image compression technique that uses Real Fourier Transform. Discrete Fourier Transform (DFT) contains complex exponentials. It contains both cosine and sine functions. It gives complex values in the output of Fourier Transform. To avoid these complex values in the output, complex terms in Fourier Transform are eliminated. This can be done by using coefficients of Discr...

Wavelet transform is a one of the most powerful concept used in image processing. Wavelet transform can divide a given function into different scale components and can find out frequency information without losing temporal information. Wavelet Transform is more suitable technique as compared to fourier transform because it is not possible with fourier transform to observe varying frequencies wi...

Steganography is an art of writing for conveying message inside another media in a secret way that can only be detected by its intended recipient. There are security agents who would like to fight these data hiding systems by steganalysis, i.e. discovering covered secret messages and rendering them useless. Steganalysis is the art of detecting the message's existence, message length or place of...