几何计算及其理论研究

提出了一种新的几何计算理论.在几何基础层，充分利用笛卡儿创立的坐标几何思想，用几何代数化方法构建二、三维基本的几何代数基（简称几何基)，可利用它的序列建立高一层次的几何基.在几何处理层，用几何方法解决几何问题，寻求几何问题的几何基求解序列.对几何引入方向性，统一几何的表示，简化几何基序列的求解过程.并从理论上探索解决几何奇异问题的完整解决方案，形成一个统一、规范的几何计算体系.由此实现莱布尼茨式的通过几何语言直接处理几何体的宏伟设想.

Reseurch of Geometric Computing and Its Theory

A new geometric computing theory was proposed.On the definition level of geometric elements,using the Cartesian coordinates ideology as reference,2D and 3D geometric algebra elements(or(geometric) elements for short,which could construct an upper-level element in the solving sequence) were constructed by geometry algebraization methods.On the processing level of geometries,geometric(problems) were solved with geometry methods,by which a geometric element solving sequence could be(constructed.) Directional p...