图学计算基础

首先探索图学计算的内涵，剖析图形计算的矛盾，找出图形计算的关键， 构造图学的公共基础，指出图的本质不是决定于构成图的图元本身，而决定于图元之间的相 互关系。其次，分析了图形计算的最新研究进展，总结出几何化方法的优势及其基础理论研 究的迫切性。进而提出一个基于“几何问题几何化”的几何计算理论体系与实施框架。阐述 了以几何为思路，在构筑稳定的图学计算平台方面的最新原创理论与机制，包括从形的角度 去统一、研究、发展图学计算基础的理论、形计算的机制等。

The Computational Basis of Graphics

By discussing its essence and contradictions, this paper finds out the key to graphics computation and constructs the common infrastructure of graphics. It is concluded that the essence of a figure is not determined by its primitives but by the relations among them. Afterwards, the latest development of graphics computation theories, methods and technologies is introduced. The research characteristics in geometrization and necessity of original basis researches are summed up. A geometric computation theory system and its implementation framework based on the geometrization of geometric problems are proposed, and the latest original theories and mechanisms in constructing stable graphics computation through the way of geometry are elaborated, which include the theories of unifying, researching and developing graphics computation basis, the mechanisims of shape computationand so forth.