in this paper lie’s formalism is applied to deduce classes of solutions of a nonlinear partialdifferential equation (npde) of second order with quadratic nonlinearity. the equation has themeaning of a field equation appearing in the formulation of kinetic models. similaritysolutions and transformations are given in a most general form derived to the first time interms of reciprocal jacobian ell...

Many proposed image watermarking techniques are sensitive to geometric distortions, such as rotation, scaling and translation. Geometric distortions, even by slight amount, can make watermark decoder disable. In this paper, a geometric invariant blind image watermarking is designed by utilizing the invariant Tchebichef moments. The detailed construction of invariant Tchebichef moments is descri...

We present a comprehensive evaluation of performance of visual feature representations for MediaEval 2011 Violent Scenes Detection Task. As for global features, color moments, color histogram, edge orientation histogram, and local binary patterns are used. As for local features, keypoint detectors such as Harris Laplace, Hessian Laplace, Harris Affine, Dense Sampling are used to extract keypoin...

Watermark refers to digital data embedded in cover data with an intent of copyright protection or proof of ownership. In case of image watermarking, the robustness of watermarks to geometric attacks is considered to be the most challenging design requirements for watermarks. Geometric attacks like Rotation, Scaling and Translation (RST attacks) can desynchronize the location of the watermark an...

Robust point matching is a critical and challenging process in feature-based image registration. In this paper, an invariant feature point matching algorithm is presented by introducing the Polar Complex Exponential Transform (PCET), a new kind of orthogonal moment reported recently. Similar to orthogonal complex moments, PCETs is defined on a circular domain. The magnitudes of PCETs are invari...

Moments of images provide efficient local descriptors and have been used extensively in image analysis applications. Their main advantage is their ability to provide invariant measures of shape. In this work, we present an overview of the most commonly used image moments, as well as a hardware architecture capable of fast calculation of geometric, Zernike and Tchebichef moments. Index Terms – I...

The use of invariant moments" 2 for pattern recognition and scene matching has received considerable attention.1-8 The majority of this work has utilized digital processors. 3 -6 In this Letter, we describe a hybrid optical-digital system that can compute all the invariant moments of a 2-D image in parallel by spatial convolution. This is an extension of earlier work7 that required separate mas...

Moment functions de0ned using a polar coordinate representation of the image space, such as radial moments and Zernike moments, are used in several recognition tasks requiring rotation invariance. However, this coordinate representation does not easily yield translation invariant functions, which are also widely sought after in pattern recognition applications. This paper presents a mathematica...