In this paper, we study a fundamental domain for Sp(g,Z) ⋉ H (g,h) Z \Hg × C .

We consider the Buffon’s problem for the lattice Rα,a which has the fundamental cell composed by the union of octagon, with all sides of lengths a and the angles (π − α) and ( 2 + α) with α ∈ ] 0, π 2 [ , and of the square with side of length a (see Fig. 1). We determine the probability of intersection of a body test needle of length l, l < a. For α = π 4 we also give the estimate of this proba...

This paper presents a method for determining the possible instantaneous motions of a sliding object during multiple contact pushing. The approach consists of two components: a kinematic analysis considering kinematic motion constraints, and a force analysis considering force constraints on the motion. A new representation of the support friction of a sliding object is presented, and the results...

We prove the following: there are infinitely many finite-covolume (resp. cocompact) Coxeter groups acting on hyperbolic space Hn for every n ≤ 19 (resp. n ≤ 6). When n = 7 or 8, they may be taken to be nonarithmetic. Furthermore, for 2 ≤ n ≤ 19, with the possible exceptions n = 16 and 17, the number of essentially distinct Coxeter groups in Hn with noncompact fundamental domain of volume ≤ V gr...

Quality control (QC) procedures should always be performed following radiopharmaceutical preparation and prior to patient administration. The main aim of QC is to ensure optimal radiopharmaceutical product properties except for some short half-life tracers such as some positron emission tomography (PET) imaging probs. by dispensing a radiopharmaceutical of the highest quality the risk of having...

In this paper, we propose a method of tracking a soccer player using multiple cameras. For tracking soccer players, occlusion is always the big problem and tracking is often failed when only a single camera is used to take the scene. Therefore, we use multiple view images for avoiding the occlusion problem, so that we can obtain robustness in player tracking. In our method, inner-camera operati...

Most studies on the haptic perception of force direction have been conducted without hand movements, whereas hand movements are normally required in real-world applications. This paper reports a study on the perception of haptic force direction during hand movement. Discrimination thresholds for force direction were determined for two hand movement speeds, slow and fast, and for five reference ...