Optimal Mapping from a Sphere onto a Plane

Abstract

The problem of mapping a portion of a spherical surface onto a plane so as to minimize distance errors (over all pairs of points) is considered. The use of a least mean square criterion, with area weighting, leads to coupled integral equations; numerical examples of their solution are given for regions bounded by parallels. Extensions to more general weighting functions, and to the use of nonuniform scales, are made.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 4 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.