Title :
Mathematical model of the radial cross section of tree rings
Author :
Akulov, P.A. ; Tartakovsky, V.A. ; Lsaev, Yu.N. ; Nesvetailo, V.D. ; Volkov, Yu.V. ; Popov, V.N.
Author_Institution :
National Research Tomsk Polytechnic University
Abstract :
A mathematical model of tree rings in the form of an interference pattern is presented. The model allows retrospective reconstruction of continuous radial growth of a tree during the entire vegetation season. The radial dependence of the wood density is considered as a certain oscillation whose phase is a strictly increasing function of radius. The radial growth is defined as a monotonic function of time, inverse with respect to the phase. Algorithms for model analysis are based on the condition of dispersion causality. Experimental results are discussed.
Keywords :
dispersion (wave); filtering theory; vegetation; dispersion causality; interference pattern; mathematical model; model analysis; monotonic time function; oscillation phase; radial cross-section; radial dependence; retrospective continuous radial growth reconstruction; tree rings; vegetation season; wood density; Dispersion; Mathematical model; Noise; Optical filters; Oscillators; Transforms; Vegetation; algorithms; mathematical model; radial growth; tree rings;
Conference_Titel :
Strategic Technology (IFOST), 2012 7th International Forum on
Conference_Location :
Tomsk
Print_ISBN :
978-1-4673-1772-6
DOI :
10.1109/IFOST.2012.6357810
