Functions

MAKE SURE THE LIBRARY PATH IS CORRECTLY SET

Hamilton fast marching via FileIO

Hamilton fast marching via Wolfram Library Link

Utility functions

Euler angles (θ, φ) |→ (cos θ,sin θ cos φ,sin θ sin φ)

Plotting arrows in Graphics3D

SR geodesics in SE(3) for C != 1

Via Library Link

Domain specification:
In particular, specify how to sample the sphere. The code works with Euler angles via
        (θ, φ) |→ (cos θ,sin θ cos φ,sin θ sin φ),
θ is sampled from 0 to π with or from 0 to π/2 with Nθ samples for respectively the projective (with identification of antipodal points) or normal (full sampling) case,
φ is sampled from 0 to 2π with Nφ = 2Nθ or Nφ=4Nθ samples for respectively the projective or normal case.

Set data

Specify volume dimensions and sampling

Show sampling

1. make library link
2. set parameters (Check xyMinMax (the physical spatial range) and "gridScale" (smaller means more detail))
3. run code
4. get results
5. close library link
6. reformat the data

Show results

Via Library Link (positive case)

Domain specification:
In particular, specify how to sample the sphere. The code works with Euler angles via
        (θ, φ) |→ (cos θ,sin θ cos φ,sin θ sin φ),
θ is sampled from 0 to π with or from 0 to π/2 with Nθ samples for respectively the projective (with identification of antipodal points) or normal (full sampling) case,
φ is sampled from 0 to 2π with Nφ = 2Nθ or Nφ=4Nθ samples for respectively the projective or normal case.

Set data

Specify volume dimensions and sampling

Show sampling

1. make library link
2. set parameters (Check xyMinMax (the physical spatial range) and "gridScale" (smaller means more detail))
3. run code
4. get results
5. close library link
6. reformat the data

Show results