论计算机图形学的若干问题

Several Issues on Computer Graphics

从认知方式关注计算机图形学的学科地位;从对图形/图像产生机理的梳理入手,认识计算机图形学的本质特征,明确计算机图形学的根本任务;从表现的视角理解图形/图像只是基本图元不同组合的显示方式;从构造的角度阐述"模型"的"几何品质",认识几何计算在计算机图形学中的地位和作用的根本性;从几何奇异是造成几何造型系统不稳定性的本源入手,把握几何计算的关键.从"计算机图形学和造型依赖于点和向量的数学运算"的观点出发,研究以向量几何为理论,以"方向性"概念为基础的几何计算基本理论的思想方法、几何结构以及几何算法与复杂性分析.

From cognition aspect, the focus is on the discipline status of computer graphics. From carding of graphics and image generating, it comes towards the essence character of computer graphics, clear the fundamental task of computer graphics. From viewpoint of representation, it is comprehended that graphics and image are different only in display mode of picture elements. From visual angle of construction, it expatiates upon geometric quality of model, and nails down the status and function of computational geometry in computer graphics. From geometric modeling system instability caused by geometric singularity ultimately, computational geometry is grasped as the crux. From perspective of ＂computer graphics and modeling depend on mathematics operation of point and vector＂, taking geometry of vector as theory, taking directivity concept as foundation, it discovers basic theories of computational geometry, thinking method, geometric structure, geometric and complexity analysis.