Helical meshes on spheres and cones

Jon Claerbout

claerbout@stanford.edu

ABSTRACT

We embed a helix in the two-dimensional surface of a sphere; likewise, in the two-dimensional surface of a cone. This provides a one-dimensional coordinate system on a two-dimensional surface. Although mesh points are exactly evenly spaced along the helix and approximately evenly spaced in the crossline dimension, unfortunately, the angles between neighboring points are continuously changing. We seem to lose the concepts of two-dimensional autoregression that we have in cartesian space.