12-13 November 2021
Taras Shevchenko National University of Kyiv
Europe/Kiev timezone

Applied Mathematics for Understanding Photon Counting Computed Tomography(PCCT)

13 Nov 2021, 11:15
15m
Online (Taras Shevchenko National University of Kyiv)

Online

Taras Shevchenko National University of Kyiv

64/13, Volodymyrska Street, City of Kyiv, Ukraine, 01601

Speaker

Takaharu Suzuki (Shizuoka University)

Description

The noise analysis and its decreasing technology for CT-imaging is very important problem. Especially this basic studies should be applied by using Mathematical analysis, ①the stochastic Process and ②the Logistic Pure Chaos. In this presentation I wish to explain only about ② .
“Logistic Pure Chaos” represents the new fundamental constructed concept that occurs in the dynamical systems of microscopic phenomenon and noise analysis in nature. So this chaos can transfers the relationship between the deterministic and the stochastic variables using the nature analysis.
The nonlinear sequential equation for the Logistic Pure Chaos and those values are the random numbers according to Beta distributionB(1/2,1/2). Its mathematical proof can show by using some simple harmonic oscillational model. For Monte Calro Simulation ,it is necessary to generate the white noise that transfers this random numbers. On the other hand, the electronic circuit under the CdTe semiconductor usually generate a lot of noise. This mathematical model may be useful to understand this phenomenon.

Topics Session D. Biomedical optics and sensors technology

Primary author

Takaharu Suzuki (Shizuoka University)

Co-author

Toru Aoki (Shizuoka University)

Presentation Materials

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