ABSTRACT

Polyconic map projections are rarely used for world maps because traditional polyconic mappings do not have a favourable distortion pattern. However, this paper demonstrates that the generalized versions of these projections can be adjusted well for global maps. The formulae are optimized numerically to ensure that the projections will have as low distortion as possible. Furthermore, optimal polyconic mappings with further restrictions (e. g. rectangular graticule, equal-area) are also developed.

中文翻译：

---

世界的低失真对称多圆锥地图投影

摘要

多圆锥地图投影很少用于世界地图，因为传统的多圆锥映射没有有利的失真模式。然而，本文证明了这些投影的广义版本可以很好地针对全球地图进行调整。这些公式经过数值优化，以确保投影具有尽可能低的失真。此外，还开发了具有进一步限制（例如矩形格线、等面积）的最佳多圆锥映射。