Validation of Cavalieri Method for Irregular Volume Estimation
Saleh Sadeq Saleh Afaneh;
Abstract
Abstract
This study is composed from two phases the first phase is concentrate on the measuring irregular sizes in mathematics world this done by Archimedes principle, Cavalieri with points counting method and Monte-Carlo simulation method using MATLAB software. Absolute error for Archimedes and simulation Monte-Carlo method was done while coefficient of error for Cavalieri with point counting method was done thought Garica equation (2003). It was founded that the absolute error for Archimedes was 55.56, absolute error for Monte-Carlo was 10.65 and coefficient of error for Cavalieri point counting method was to 0.760891. This indicated that the Cavalieri method for most famous methods used to estimate the irregular volume using points counting measurements with Marta equation for measuring the coefficient of error deserves all the attention and should be applied when irregular volume like this situation.
Second phase is concentrate on the quantitative volumetric magnetic resonance imaging techniques to explore the neuro-anatomic correlates of chronic, combat stress
This study is composed from two phases the first phase is concentrate on the measuring irregular sizes in mathematics world this done by Archimedes principle, Cavalieri with points counting method and Monte-Carlo simulation method using MATLAB software. Absolute error for Archimedes and simulation Monte-Carlo method was done while coefficient of error for Cavalieri with point counting method was done thought Garica equation (2003). It was founded that the absolute error for Archimedes was 55.56, absolute error for Monte-Carlo was 10.65 and coefficient of error for Cavalieri point counting method was to 0.760891. This indicated that the Cavalieri method for most famous methods used to estimate the irregular volume using points counting measurements with Marta equation for measuring the coefficient of error deserves all the attention and should be applied when irregular volume like this situation.
Second phase is concentrate on the quantitative volumetric magnetic resonance imaging techniques to explore the neuro-anatomic correlates of chronic, combat stress
Other data
| Title | Validation of Cavalieri Method for Irregular Volume Estimation | Other Titles | التحقق من طريقة كافلاري لقياس الأجسام غير المنتظمة | Authors | Saleh Sadeq Saleh Afaneh | Issue Date | 2018 |
Recommend this item
Similar Items from Core Recommender Database
Items in Ain Shams Scholar are protected by copyright, with all rights reserved, unless otherwise indicated.