ex11_multiple_supports

This example compares regular and aggregate merging across six overlapping three-dimensional supports. The horizontal domains match the corresponding merge2d example, while different z intervals create additional overlap boundaries in depth. All six supports cross z = 50 and y = 50 so they appear in both plotted sections.

The primary values are 9, 7, 5, 8, 6, and 4. Every primary is paired with the same full-volume secondary, which has value 1:

primary1 secondary - - cosine/cosine/cosine 0.30
primary2 secondary - - cosine/cosine/cosine 0.30
primary3 secondary - - cosine/cosine/cosine 0.30
primary4 secondary - - cosine/cosine/cosine 0.30
primary5 secondary - - cosine/cosine/cosine 0.30
primary6 secondary - - cosine/cosine/cosine 0.30
secondary - - - - -

Regular merging evaluates these records in order, so the first available primary controls an overlap. With -A, all positive primary weights at a node are normalized together because the primaries share the same secondary pair. This smooths internal boundaries caused by mergefile ordering. The final record tiles the secondary outside every primary support.

The horizontal figure compares the methods at z = 50. The vertical figure compares them along y = 50. Dashed support outlines and section-location lines connect the geometries shown by the two figures.

Run:

./ex11_multiple_supports.sh

The script reconstructs the aggregate result from all six primary weights and the remaining secondary weight in both views. It also verifies that aggregate and regular merging differ only where at least two primary supports overlap and that the secondary fills the background. It creates:

• ex11_multiple_supports_horizontal.png and ex11_multiple_supports_horizontal.pdf

• ex11_multiple_supports_vertical.png and ex11_multiple_supports_vertical.pdf

Figures

Downloads

• ex11_multiple_supports.sh

• ex11_multiple_supports_horizontal.pdf

• ex11_multiple_supports_vertical.pdf