For radial geodesics, the last conservation law in the previous post reduces to:

For null geodesics , we are free to rescale the affine parameter so that , and we obtain . 217 more words

For radial geodesics, the last conservation law in the previous post reduces to:

For null geodesics , we are free to rescale the affine parameter so that , and we obtain . 217 more words

Recall that the exterior *Schwarzschild* metric defined on the 4-manifold is given by:

It describes the gravitational field outside a spherically symmetric body of mass . 188 more words

Some time ago I wrote a blog post about geodesics and different methods how they could be computed in Houdini. Geodesic distances are great since they represent the distance, or more precisely, the shortest distance between points on a surface. 331 more words

Measuring geodesic distances and the computation of paths on a mesh is widely used in computational geometry for many different applications ranging from mesh parameterization and remeshing to skinning and mesh deformation. 823 more words