An efficient technique for creating a continuum of equal-area map projections

Equivalence (the equal-area property of a map projection) is important to some categories of maps. However, unlike for conformal projections, completely general techniques have not been developed for creating new, computationally reasonable equal-area projections. The literature describes many specific equal-area projections and a few equal-area projections that are more or less configurable, but flexibility is still sparse. This work develops a tractable technique for generating a continuum of equal-area projections between two chosen equal-area projections. The technique gives map projection designers unlimited choice in tailoring the projection to the need. The technique is particularly suited to maps that dynamically adapt optimally to changing scale and region of interest, such as required for online maps.等面积性（即地图投影的等面积属性）在部分类别的地图中具有重要意义。然而，与正形投影（conformal projection）不同，目前尚未开发出可用于构建全新、计算上合理的等面积投影（equal-area projection）的通用完整技术。现有文献已记载了诸多特定的等面积投影，以及少数具备一定可配置性的等面积投影，但此类投影的灵活性仍较为匮乏。本研究提出了一种易处理的技术，可在两个选定的等面积投影之间生成连续变化的等面积投影集合。该技术可为地图投影设计师提供无限的选择空间，使其可根据实际需求定制适配的投影方案。该技术尤其适用于需要根据变化的比例尺与关注区域进行最优动态适配的地图，例如在线地图所需的应用场景。