| Popis: |
The measurement of particle shape by image analysis and light scattering depends, inter alia, upon projected area. Non-spherical particles exhibit a range of values for projected area and perimeter. The distribution functions for these variables, together with their mean values, are useful as signatures for specific shapes. When the results from individual, random orientations are being used as starting points for further computation, we investigate how many results are needed to give good agreement with the actual distribution functions. Choosing the cube as an example, it is shown how experimental data may be used to determine size using maximum-likelihood estimators. Adequate accuracy can be obtained with a modest number of data. The question of whether it is better to use a random or regular set of directions is investigated. |
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