Geodesic
Modelling and estimation of a moving object trajectory
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 3, pp. 108-119

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A new linear discrete model of the left/right circular motion with the specified radius is constructed. A new algorithm for mathematical modelling of a moving object trajectory consisting of straight line segments and circular motion under the conditions of incomplete noisy measurements is formulated and implemented. It is shown how to apply algorithms for discrete optimal filtering to the evaluation of such a trajectory. A software package “Modelling and estimation of a moving object trajectory v1.0” is developed for modelling and estimation of a linear trajectory of a moving object on the basis of discrete models of uniform piecewise linear and circular motion. The results can be applied to solve practical problems of navigation, robotics, signal processing of scanning range finders and others.
Keywords: maneuvering moving objects; discrete stochastic model; linear estimation; MATLAB. 
@article{VYURU_2017_10_3_a8,
     author = {I. V. Semushin and A. V. Tsyganov and Yu. V. Tsyganova and A. V. Golubkov and S. D. Vinokurov},
     title = {Modelling and estimation of a moving object trajectory},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {108--119},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2017_10_3_a8/}
}
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I. V. Semushin; A. V. Tsyganov; Yu. V. Tsyganova; A. V. Golubkov; S. D. Vinokurov. Modelling and estimation of a moving object trajectory. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 3, pp. 108-119. http://geodesic.mathdoc.fr/item/VYURU_2017_10_3_a8/