Comments (4)
From #291:
Maybe the safety could be approximated with a few iterations with steepest descent?
The most promising literature that I could find to date is ON THE DISTANCE FROM A POINT TO A QUADRIC SURFACE. What we need for safety is a sort of "conservative" estimate, ie the returned value can be too low but it must never be too large, I think.
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This is a blocking task for #181 to calculate the step length.
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#406 implements the CalcSafetyDistance
algorithm, which works for spheres, planes, and cylinders, since the gradient of those surfaces points to the nearest point on the surface. For any other surfaces, the safety distance is zero (ultra-conservative). For "complex" volumes (those with internal surfaces) the safety distance will be unnecessarily conservative near those internal surfaces.
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I finally rediscovered this reference: Hart, Sphere Tracing: A Geometric Method for the
Antialiased Ray Tracing of Implicit Surfaces which in Appendix A (pp 5-109–5-110) discusses distance to plane, sphere, cylinder, cone, torus. Distance to an ellipsoid requires solving a sixth degree polynomial.
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Related Issues (20)
- Integrate Celeritas into ATLAS
- Demonstrate ADIOS output on Frontier HOT 2
- Undefined references with CudaRDCUtils and vecgeom
- Collaborate with HEPiX for CPU/GPU performance and efficiency benchmarking
- Convert Geant4 geometry to ORANGE
- Implement single-track CPU for performance and improve integration HOT 6
- Implement CPU-only G4MagneticField wrapper
- Generate input documentation from app structs HOT 1
- Parameterized source distributions
- Better statistics from celer-sim
- Integrate Perfetto for optional CPU profiling HOT 3
- Require one event at a time HOT 1
- Use logical rather than physical navigation state to reconstruct G4NavigationHistory
- Accelerate ORANGE tracking with geant4
- Support union boundaries
- Cleanup tasks for v1.0
- Add particle weight to simulations
- Muon Beam Physics
- Celeritas offloading interfaces do not support multiple runs in Geant4 HOT 5
- Implement short-circuit volume evaluation using infix notation HOT 1
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