Line tracking is important for numerous applications of the machine vision, including control of line following robots. Local lacunarity for binary images allows the estimation of line by the detection of spatial diff...
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ISBN:
(纸本)9781479987023
Line tracking is important for numerous applications of the machine vision, including control of line following robots. Local lacunarity for binary images allows the estimation of line by the detection of spatial differences using statistical properties of textures. Additional tracking algorithm improves the line detection by application of motion model. Such approach allows the extended width line tracking. the properties of proposed local lacunarity are analyzed for the perturbed pattern located on the random background. Monte Carlo approach is applied for the analysis of such lines for two smoothing coefficient values of Spatio-Temporal Track-Before-Detect algorithm. Obtained horizontal mean error value is comparable to the width of the line.
the Lyapunov, Perron and Bohl exponents are the most important numerical characteristics of dynamic systems used in control theory. Properties of the first one are well investigated. Properties of the Perron and Bohl ...
详细信息
ISBN:
(纸本)9781479987023
the Lyapunov, Perron and Bohl exponents are the most important numerical characteristics of dynamic systems used in control theory. Properties of the first one are well investigated. Properties of the Perron and Bohl exponents are much less described in the literature, for example the questions about the structure of the sets of values of these quantities for general discrete-time systems are still open. In this paper we give an example of a two-dimensional system with bounded coefficients that have three different Perron exponents. In addition, we prove that the s-dimensional diagonal discrete-time system with bounded coefficients can have any number of different Perron exponents between 1 and 2~s - 1.
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