in many signal processing applications, an appropriate measure to comparetwo signals plays a fundamental role in both implementing the algorithm andevaluating its performance. several techniques have been introduced in literature assimilarity measures. however, the existing measures are often either impractical forsome applications or they have unsatisfactory results in some other applications....

This paper presents an approach for content-based image retrieval via isotropic and anisotropic mappings. Isotropic mappings are defined as mappings invariant to the action of the planar Euclidean group on the image space – invariant to the translation, rotation and reflection of image data, and hence, invariant to orientation and position. Anisotropic mappings, on the other hand, are defined a...

A class of binary group codes is investigated. These codes are the propelinear codes, deened over the Hamming metric space F n , F = f0; 1g, with a group structure. Generally, they are neither abelian nor translation invariant codes but they have good algebraic and com-binatorial properties. Linear codes and Z 4-linear codes can be seen as a subclass of prope-linear codes. Exactly, it is shown ...

Rotation, Shifting, and Translation (RST) invariant image watermarking is a very important research topic. In this letter, we report a new filtering method in the log-polar mapping (LPM), and a novel rectification method that can be used in any RST invariant image watermarking algorithms. We get a log-polar mapping of an image by calculating the Fourier transform of the image and resampling the...

In many signal processing applications, an appropriate measure to compare two signals plays a fundamental role in both implementing the algorithm and evaluating its performance. Several techniques have been introduced in literature as similarity measures. However, the existing measures are often either impractical for some applications or they have unsatisfactory results in some other applicati...

This work focuses on the task of finding latent vector representations of the words in a corpus. In particular, we address the issue of what to do when there are multiple languages in the corpus. Prior work has, among other techniques, used canonical correlation analysis to project pre-trained vectors in two languages into a common space. We propose a simple and scalable method that is inspired...

Translation invariant ideals of subsets of groups and their invariant extensions are studied.