The last few years have seen considerable interest in a the analysis and application of multilinear relations between corresponding features in images taken with a perspective camera. Given a point in space seen in two images, the image points satisfy an epipolar constraint expressed by the fundamental matrix. This is a 3× 3 matrix F that satisfies the equation x′ Fx = 0 where x and x′ are any ...

Research on software objects, components, middleware, and component-based applications concerns among others ActiveX controls, JavaBeans (JBs), the Microsoft Transaction Server (MTS), Enterprise JavaBeans (EJBs), and how they can interoperate with each other. Is their interoperation possible? Which elements are responsible for the software objects’ incompatibility? Is compatibility a responsibi...

We present an accurate method to compute the minimum distance between a point and an elliptical torus, which is called the orthogonal projection problem. The basic idea is to transform a geometric problem into finding the unique real solution of a quartic equation, which is fit for orthogonal projection of a point onto the elliptical torus. Firstly, we discuss the corresponding orthogonal proje...

This note explores the method of A. Néron [5] for constructing elliptic curves of (fairly) high rank over Q . Néron’s basic idea is very simple: although the moduli space of elliptic curves is only 1-dimensional, the vector space of homogeneous cubic polynomials in three variables is 10-dimensional. Therefore, one can construct elliptic curves which pass through any given 9 rational points. Wit...

Fluorescence microscopy is one of the most used imaging modalities in molecular biology and living specimens. To increase image contrast spatial resolution, different type fluorescence has been developed. This review introduces three main types microscopy: wild-field microscopy, confocal total internal reflection microscopy. The basic principles are similar but with modifications, which also in...