Inversion of the Poisson transform using proportionally spaced cubic B-splines

Earnshaw, J.C.; Haughey, D.
December 1996
Review of Scientific Instruments;Dec1996, Vol. 67 Issue 12, p4387
Academic Journal
Describes a simple but effective approach to inversion of the Poisson transform. Use of cubic splines to approximate the inverse function; Automatic provision of a degree of regularization which helps to overcome the ill-conditioned nature of the problem; Representative tests of the method.


Related Articles

  • Constraining surface emissions of air pollutants using inverse modelling: method intercomparison and a new two-step two-scale regularization approach. SAIDE, PABLO; BOCQUET, MARC; OSSES, AXEL; GALLARDO, LAURA // Tellus: Series B;Jul2011, Vol. 63 Issue 3, p360 

    BSTRACT When constraining surface emissions of air pollutants using inverse modelling one often encounters spurious corrections to the inventory at places where emissions and observations are colocated, referred to here as the colocalization problem. Several approaches have been used to deal...

  • Filtration of Stochastic Processes Using First-Order Splines. Idrisov, F. F.; Terpugov, A. F. // Russian Physics Journal;Feb2004, Vol. 47 Issue 2, p132 

    In the present paper, the feasibility of filtration of a stationary stochastic process using first-order splines is examined when the moments of measurements form a Poisson stream of events with a constant intensity. The mean- square filtration error is determined and an approximate algorithm...

  • Poisson ensembles in three dimensions. O'Brien, Frank; Hammel, Sherry E. // Perceptual & Motor Skills;Apr96, Vol. 82 Issue 2, p579 

    Presents a study on the Poisson probability model in three dimensions. Derivation of the method; Comparison between the box-counting method and the distance-to-particle method; Computational formulas in models; Monte Carlo simulation procedures and results.

  • Estimating parameters of the power law process with two measures of failure time. Ahn, C.W.; Chae, K.C.; Clark, Gordon M. // Journal of Quality Technology;Apr98, Vol. 30 Issue 2, p127 

    Focuses on a type of a nonhomogeneous Poisson process known as the power law process. Combination of age and mileage in a single index; Two proposed estimation procedures; Advantage of the mean value function procedure.

  • On the distributions of scan statistics of a two-dimensional Poisson process. Alm, Sven Erick // Advances in Applied Probability;Mar1997, Vol. 29 Issue 1, p1 

    Investigates the distributions of scan statistics of a two-dimensional Poisson process. Approximation of the distribution of L; Value of L in a translate of a fixed scanning set; Extension of technique to higher dimensions; Approximations for non-rectangular scanning sets.

  • THE SOLVABILITY CONDITIONS FOR INVERSE EIGENVALUE PROBLEM OF ANTI-BISYMMETRIC MATRICES. Dong-xiu Xie; Xi-yan Hu; Zhang, Lei // Journal of Computational Mathematics;May2002, Vol. 20 Issue 3, p245 

    Presents information on a study which discussed the inverse eigenvalue problem used in engineering. Solvability conditions and general form of the solutions in real number field; Theorems; Expression of solution.

  • Inverse atomic densities and inequalities among density functionals. Angulo, J. C.; Angulo, J.C.; Romera, E.; Dehesa, J. S. // Journal of Mathematical Physics;Dec2000, Vol. 41 Issue 12 

    Rigorous relationships among physically relevant quantities of atomic systems (e.g., kinetic, exchange, and electron-nucleus attraction energies, information entropy) are obtained and numerically analyzed. They are based on the properties of inverse functions associated to the one-particle...

  • Biordered Sets of Regular Semigroups with Inverse Transversals. Tang, Xilin; Wang, Limin // Southeast Asian Bulletin of Mathematics;2001, Vol. 25 Issue 2, p321 

    In a regular semigroup S, an inverse subsemigroup S[sup °] of S is called an inverse transversal of S if S[sup °] contains a unique inverse x[sup °] of each element x of S. An inverse transversal S[sup °] of S is called a Q-inverse transversal of S if S[sup °] is a quasi-ideal of...

  • Optimal control of batch service queues with compound Poisson arrivals and finite service capacity. Aalto, Samuli // Mathematical Methods of Operations Research;1998, Vol. 48 Issue 3, p317 

    Abstract. We consider the optimal control problem of an M[sup X]/G(Q)/1 batch service queueing system with Q < Infinity. So, we assume that customers arrive according to a compound Poisson process and are served in batches not greater than the finite service capacity Q. The control problem...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics