Most of the literature of computational geometry concerns geometric properties of sets of static points. M.J. Atallah introduced dynamic computational geometry, concerned with both momentary and long-term geometric properties of sets of moving point-objects. This area of research seems to have been dormant recently. The current paper examines new problems in dynamic computational geometry.

翻译：计算几何学文献大多关注静态点集的几何性质。M.J. Atallah提出的动态计算几何则研究运动点集对象的瞬时与长期几何特性。该研究领域近期似处于沉寂状态。本文探讨动态计算几何中的若干新问题。