We present a two-dimensional wavelet transform that is invariant to affine distortions of the input signal. Affine distortions include geometric effects such as translation, reflection, uniform and anisotropic scaling, rotation, and shearing of the input signal. Invariance of the wavelet transform to affine distortions is achieved in our work by developing an algorithm that reduces replicas of ...

The traditional continuous wavelet transform is plagued by the cone-ofinfluence, ie wavelets which extend past either end of a finite timeseries return transform coefficients which tend to decrease as more of the wavelet is truncated. These coefficients may be corrected simply by rescaling the remaining wavelet. The corrected wavelet transform displays no cone-of-influence and maintains reconst...

Discrete Wavelet Transform (DWT) and Discrete Cosine Transform (DCT) are the common methods used in signal and image compression. Wavelet transform are very powerful compared to Fourier transform because its ability to describe any type of signals both in time and frequency domain simultaneously. In this paper, we will discuss the use of Discrete Cosine Transform (DCT) and Wavelet Based Image c...

The traditional continuous wavelet transform is plagued by the cone-ofinfluence, ie wavelets which extend past either end of a finite timeseries return transform coefficients which tend to decrease as more of the wavelet is truncated. These coefficients may be corrected simply by rescaling the remaining wavelet. The corrected wavelet transform displays no cone-of-influence and maintains reconst...

Image compression is a technique to reduce irrelevance and redundancy of the image data in order to be able to store or transmit data in an efficient form. This paper presents a peculiar Hybrid Transform genesis technique for image compression using two orthogonal transforms. The concept of hybrid transform is to combine the attributes of two different orthogonal transform wavelet to attain the...

In geophysical exploration different types of measurements are used to probe the same subsurface region. In this paper we show that the wavelet transform can aid the process of linking different data types. The continuous wavelet transform, and in particular the analysis of amplitudes along wavelet transform modulus maxima lines, is a powerful tool to analyze the characteristic properties of lo...

In this paper, we propose a hybrid video coder using the wavelet packet transform and motion compensation. To reduce the computational complexity of the wavelet packet decomposition, a novel criterion based on the rate-distortion function is proposed. After the wavelet packet transform, the successive quantization scheme and the adaptive arithmetic coder are applied for lossy wavelet coe cient ...

In this paper, a new satellite image contrast enhancement technique based on s Atrous wavelet transform and singular value decomposition (SVD) has been proposed. To obtain shift invariant discrete wavelet transform decomposition for images, we introduced the discrete wavelet transform known a “A trous” algorithm to decompose the image into wavelet planes which is computed as the difference betw...