Changes between Version 1 and Version 2 of doc/tec/biomet/uv_implementation
- Timestamp:
- Nov 22, 2018 3:37:37 PM (6 years ago)
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doc/tec/biomet/uv_implementation
v1 v2 17 17 18 18 == Integration factors == 19 {{{#!td style="vertical-align:center; text-align:left" 19 20 For the calculation of the exposure, the weighted radiances (see polar plot in Figure ??) are integrated over all solid angles (directions). For this, the area of each solid angle d on a unit sphere must be calculated. These dimensionless areas have the unit [sr] and can be understood as weighting factors since not all considered solid angles from the different directions have the same size (see also Fig. 2.5). 20 21 21 22 The summation of the radiances, multiplied with the areas of the solid angles of the corresponding directions, yields the final integral. 22 23 23 24 [[Image(integration_equation.png, 700px)]]25 26 \\\\27 28 [[Image(segments.png, 500px)]]29 30 24 Figure 2.5: Schematic diagram of an exemplary segmented upper hemisphere, that visualizes the different segments. The numbers and proportions of the segments in the schematic diagram are for demonstration purposes only and do not exactly match the solid 31 25 angles used in the exposure model. 26 }}} 27 28 29 30 31 {{{#!td style="text-align:left;style=width: 50px" 32 [[Image(segments.png, 500px)]] 33 }}} 34 \\\\ 35 [[Image(Formel Integration.jpg, 700px)]]