The goal of this work is to create several functions for processing of two input images of one object to uncover a geometry of the scene. There are well-known techniques how to compute a fundamental matrix and reconstruct 3D coordinates. Several techniques were tested to find the method that is fast and rather precise. The functions are implemented in the environment of Borland C++ Builder. Cal...

We show how the (globally supersymmetric) model of Mirabelli and Peskin can be formulated in the boundary (“downstairs” or “interval”) picture. The necessary GibbonsHawking-like terms appear naturally when using (codimension one) superfields. This formulation is free of the δ(0) ambiguities of the orbifold (“upstairs”) picture while describing the same physics since the boundary conditions on t...

This paper deals with the problem of analysing sequences of images taken by uncalibrated cameras. It is assumed that the correspondences between the points in the different images are known. This paper introduces a new framework for this problem. The situation of two cameras is described by the reduced fundamental matrix. Another new concept, the reduced fundamental tensor, describes the situat...

We describe a process for defining and computing a fundamental domain in the upper half plane H of a Shimura curve X 0 (N) associated to an order in a quaternion algebra A/Q. A fundamental domain for X 0 (N) realizes a finite presentation of the quaternion unit group, modulo units of its center. We give explicit examples of domains for the curves X 0 (1), X 0 (1), and X 35 0 (1). The first exam...

A static analysis of deformable object grasping based on bounded force closure is presented. There are many manipulative operations that deal with deformable objects in manufacturing processes. Manipulative operations for these objects are often performed by utilizing their deformation actively while the operations may result in failure because of unexpected deformation of the objects during th...

Purpose – The purpose of this paper is to present a prototype system that can be used to capture longitudinal socialising processes by recording people’s encounters in space. Design/methodology/approach – The paper presents the results of a longitudinal study, carried out with members of the public, which demonstrates the capabilities of the system. Findings – The findings show that community s...

Based on local gauge invariance, four different kinds of fundamental interactions in Nature are unified in a theory which has SU(3)c⊗SU(2)L⊗U(1)⊗s Gravitational Gauge Group gauge symmetry. In this approach, gravitational field, like electromagnetic field, intermediate gauge field and gluon field, is represented by gauge potential. Four kinds of fundamental interactions are formulated in the sim...

One of the most popular student modeling techniques currently available is Constraint Based Modeling (CBM), which is based on Ohlsson's theory of learning from performance errors. It focuses on the domain principles to correct faulty knowledge and assumes that a student will reach a correct solution without violating these fundamental domain concepts. However, even though this is a powerful and...

When the camera viewing an action is moving, the motion observed in the video not only contains the motion of the actor but also the motion of the camera. At each time instant, in addition to the camera motion, a different view of the action is observed. In this paper, we propose a novel method to perform action recognition in presence of camera motion. Proposed method is based on the epipolar ...

We study the rank and geometry of the multibody fundamental matrix, a geometric entity characterizing the two-view geometry of dynamic scenes consisting of multiple rigidbody motions. We derive an upper bound on the rank of the multibody fundamental matrix that depends on the number of independent translations. We also derive an algebraic characterization of the SVD of a multibody fundamental m...