On the reliable readout of random discrete-point structures

• Published in: Pattern recognition and image analysis Vol. 25; no. 1; pp. 84 - 88
• Main Authors: Reznik, A. L., Efimov, V. M., Solov’ev, A. A., Torgov, A. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 2015; Springer Nature B.V
• Subjects: Algorithms; Analysis; Analysis and Understanding of Images; Computer Science; Computers; Image analysis; Image Processing and Computer Vision; Image processing systems; Integral equations; Mathematical analysis; Mathematical models; Multilevel; Pattern Recognition; Processing; Recursive; Representation; Software packages; Studies; Three dimensional; analytical computer calculations; random discrete-point field; multidimensional integration; three-dimensional Catalan numbers

An original approach is proposed to solve rather complex probabilistic problems of the readout of random discrete-point fields; these problems lack an exact analytical solution. Schemes are proposed for the direct, iterative, and combinatorially recursive analytical calculation of multidimensional i...