Iterative method for computing the inverse Abel transform

Vicharelli, Pablo A.; Lapatovich, Walter P.
March 1987
Applied Physics Letters;3/9/1987, Vol. 50 Issue 10, p557
Academic Journal
A rapidly converging iterative method based on deconvolution techniques is proposed for the computation of the inverse Abel transform. The calculations only involve repeated applications of the forward Abel transform and no derivatives are needed. The iterative method is shown to be less susceptible to noise amplification when compared with other techniques.


Related Articles

  • Research on the Multi-view Point 3-D Clouds Splicing Algorithm based on Local Registration. Daoming FENG // International Journal of Computer Science Issues (IJCSI);Jan2013, Vol. 10 Issue 1, p780 

    The paper proposed a new 3-D measurement point cloud splicing algorithm. The algorithm utilizes registration ideal in model identification technology to realize unbound and accurate splicing of 3-D data. First, sample the overlapping areas in the two 3-D point clouds which need to be spliced....

  • Analytical Analysis of Image Representation by Their Discrete Wavelet Transform. Farouk, R. M. // International Journal of Computer Science;2008, Vol. 3 Issue 4, p216 

    In this paper, we present an analytical analysis of the representation of images as the magnitudes of their transform with the discrete wavelets. Such a representation plays as a model for complex cells in the early stage of visual processing and of high technical usefulness for image...

  • Iteration Skipping in Primal Integer Programming. Arnold, Larry R.; Bellmore, Mandell // Operations Research;Jan/Feb74, Vol. 22 Issue 1, p129 

    An examination of computational results using the simplified primal integer programming algorithm of GLOVER reveals the existence of long sequences of iterations following a specific pattern. This paper examines the structure of these sequences so that both the termination of a sequence and the...

  • Iteration Distribution of Prime Numbers. Dan Liu // Journal of Mathematics Research;Nov2011, Vol. 3 Issue 4, p112 

    The distribution of prime numbers is given iteration function, iterated function transformation, series of transformations, the general term of iteration, calculation examples and numerical control.

  • Ergodic averages of commuting transformations with distinct degree polynomial iterates. Chu, Qing; Frantzikinakis, Nikos; Host, Bernard // Proceedings of the London Mathematical Society;May2011, Vol. 102 Issue 5, p801 

    We prove mean convergence, as N → ∞, for the multiple ergodic averages where p1, … , pℓ are integer polynomials with distinct degrees, and T1, …, Tℓ are commuting, invertible measure preserving transformations, acting on the same probability space. This...

  • On convergence of the modied Noor iterations for a family of three maps. Mogbademu, Adesanmi Alao // Journal of Advanced Research in Scientific Computing;2012, Vol. 4 Issue 2, p54 

    In this paper, we prove the convergence of a modified Noor iterations for solving nonlinear equations under some mild conditions. An example is given to illustrate the efficiency of the Noor iterations. Our results represent an improvement of previously known results.

  • ON MAXIMA AND LADDER PROCESSES FOR A DENSE CLASS OF LÉVY PROCESS. Pistorius, Martijn // Journal of Applied Probability;Mar2006, Vol. 43 Issue 1, p208 

    In this paper, we present an iterative procedure to calculate explicitly the Laplace transform of the distribution of the maximum for a Levy process with positive jumps of phase type. We derive error estimates showing that this iteration converges geometrically fast. Subsequently, we determine...

  • Iteration process for multiple rogers-ramanujan identities. Chu, W.; Wang, C. // Ukrainian Mathematical Journal;Jun2012, Vol. 64 Issue 1, p110 

    Replacing the monomials by an arbitrary sequence in the recursive lemma found by Bressoud (1983), we establish several general transformation formulas from unilateral multiple basic hypergeometric series to bilateral univariate ones, which are then used for the derivation of numerous multiple...

  • Iterative Fuzzy Optimization Approach for Crude Oil Refinery Industry. Vasant, P.; Elamvazuthi, I.; Ganesan, T.; Webb, J. F. // Annals. Computer Science Series;2010, Vol. 8 Issue 1, Special section p261 

    In this paper, a new fuzzy linear programming (FLP) based methodology using a particular non-linear membership function, called a modified logistic membership function has been developed. The modified logistic membership function is well formulated and its flexibility in capturing the vagueness...


Read the Article


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

Try another library?
Sign out of this library

Other Topics