Ok, bouncing front waves in an ellipsoid (see part 1 here) was fun but few people will ever need this.
Here is a new example where things become more practical. A top view of what happens with convex surfaces on the sides of the orchestra stage and sides of the stalls.
Things get interesting, especially if the curvatures are parametric. Then we can adjust and see what happens in the “time domain”. Linking this to the audience plans, delays and distance travelled, we start getting a real time ray-tracing that explains the room in both time and spatial domains.
We’ll continue working on that. There is a frequency dimension that might be interesting to play with (yes, this is more than bouncing balls in a surface).