Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. We present here a closed-form solution to the least-squares problem for three or more points. Currently, various empirical, graphical and numerical iterative ...

susceptibility maps obtained with the CF solution (Rho = 0.94, r = 0.97) on the regions of interest, GP -globus pallidus, SN susbtantia nigra, C caudate, RN red nucleus, P putamen, FM forceps major, IFOF inferior fronto-occipital fasciculus Fig. 1 shows error of QSM maps in respect to Ground Truth (zero being lowest reconstruction error) as a function of the regularization parameters λ (see Eq....

We prove a closed-form solution to tensor voting (CFTV): given a point set in any dimensions, our closed-form solution provides an exact, continuous and efficient algorithm for computing a structure-aware tensor that simultaneously achieves salient structure detection and outlier attenuation. Using CFTV, we prove the convergence of tensor voting on a Markov random field (MRF), thus termed as MR...

The growth in the demand of energy, and its consequent contribution to the greenhouse effect, gives rise to new challenges in the design of future wireless networks. Keeping in mind these requirements, in this article we study the power allocation problem in the downlink of an orthogonal frequency division multiple access (OFDMA) system, where two (or more) coordinated transmission points (CTPs...

In this paper we consider the two atoms Tavis–Cummings model and give an explicit form to the solution of this model which will play a central role in quantum computation based on atoms of laser–cooled and trapped linearly in a cavity. We also present a problem of three atoms Tavis–Cummings model which is related to the construction of controlled–controlled NOT operation (gate) in quantum compu...

We study linear variable coeecient control problems in descriptor form. Based on a behaviour approach and the general theory for linear diierential algebraic systems we give the theoretical analysis and describe numerically stable methods to determine the structural properties of the system like solvability, regularity, model consistency and redundancy. We also discuss regularization via feedback.

In this paper we consider the problem of finding a decomposed solution to a Markov model where the action rates may depend on the global state space. To do this we consider regular cycles in the underlying state space and show that a semi-product form solution exists when the functions describing the action rates have specific forms. The approach is illustrated with a simple queueing example al...

Conventionally, space resection has been solved by iterative means, although for many years photogrammetrists have attempted to find a solution in a closed form. Recent work with the projective transformation approach as utilized in the Direct Linear Transformation (DLT) formulation has led to a closed solution for a plane object. Tests of this solution are reported together with a critical rev...

In this paper, we propose a method to obtain fuzzy solutions of duality fully fuzzy linear system (DFFLS) of the form ÃX̃ = B̃X̃ + C̃, where Ã, B̃ are fuzzy matrices and C̃, X̃ are fuzzy number vectors. To this end, we solve the 1-cut of DFFLS (which is a crisp system here) ,then some unknown spreads are allocated to any row of a 1-cut of dual fully fuzzy linear system in 1-cut position. Also, by usin...

Using an idealized semianalytical model of charge transport for InAs-based tunneling FET, it is shown that the output and transfer characteristics can be accurately reproduced and could be used to develop compact models. The use of a mathematical approximation for the analytical solution of the surface potential is vital here to minimize the computation time. The 20-nm gate homojunction and 40-...