The Radon transformations of generalized functions concentrated on lines and curves are deduced using a geometric approach and a limiting process. It is shown that any curve may be replaced by its tangents for the purposes of transformation and that each tangent will produce a maximum value in transform space which may be located using a one dimensional convolution filter. The locations of such...

This work is on development of a method for automatic registration of satellite images acquired on different dates, for both geometric and radiometric correction with respect to a reference image. Mutual information statistics is used as the similarity metric of geometric and radiometric registration. Affine and linear transformations are used in geometric and radiometric correction respectivel...

Image registration (IR) aims to geometrically match one image to another. It is extensivelyused in many imaging applications. Among many existing IR methods, one widely used group ofmethods are feature-based. By a feature-based method, a number of relevant image features arefirst extracted from the two images, respectively, and then a geometric matching transformationis found to...

This paper presents a self-training tool for learning 3D geometric transformations, i.e. translation, scaling and rotation. Our aim is to provide students with a tool they can use to practise these transformations by themselves so that they can understand and learn how to use them. Its main feature is to show an animation of the geometrical transformation applied on a geometric primitive. This ...

What is Privacy Preserving Data Mining is the process of hiding and protecting sensitive data of individuals. In the recent era, we use many applications which require personal sensitive data of individuals. Thus, people are more concern about sharing their personal sensitive information due to increase of privacy intrusions. Since last two decades many Privacy Preserving Data Mining techniques...

One of the principal problems in image forensics is determining if a particular image is authentic or not. This can be a crucial task when images are used as basic evidence to influence judgment like, for example, in a court of law. To carry out such forensic analysis, various technological instruments have been developed in the literature. In this paper the problem of detecting if an image has...

Although the Gini coefficient is an ideal measure of income inequality, it may be applied to measure the aging inequality in a society. In this paper, an attempt has been made to develop alternative measures of aging inequality based on the Gini index. The study uses the secondary population data of Asian countries collected from the international data base, US census Bureau. From the analysis ...

In this paper we compare our 3-D geometric hashing approach to object recognition to a 2-D geometric hashing approach developed by Gavrila and Groen. We apply both methods to same recognition task using real images. We found that the indexing technique used in geometric hashing is much more eecient in the 3-D case than it is in the 2-D case. Furthermore, the use of aspect models and more comple...

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a systematic approach to global optimization-based versions of such methods for mixed volume meshes, which generalizes to arbitrary dimensions. We also identify some a...

Given two points on a closed planar curve, C, we can divide the length of a shortest connecting path in C by their Euclidean distance. The supremum of these ratios, taken over all pairs of points on the curve, is called the geometric dilation of C. We provide lower bounds for the dilation of closed curves in terms of their geometric properties, and prove that the circle is the only closed curve...