【作者】 何援军；

【Author】 He Yuanjun (Dept.of Computer Science & Engineering Shanghai Jiaotong University,Shanghai,200240)

【机构】 上海交通大学计算机科学与工程系；

【摘要】 从认知方式,关注计算机图形学的学科地位；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”；从对计算机图形学的全面解读,认识“计算机图形学”的本质特征：从对图形&图像产生机理的梳理,明确几何计算在计算机图形学中的地位和作用；从计算机图形学发展方向上,考虑到几何的重要性；从几何奇异是造成几何造型系统不稳定性的根本,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,以向量几何为理论,以“方向性”概念为基础,探索几何计算的基本理论、思想方法、几何结构、几何问题以及这些问题的算法与复杂性分析。更多还原

【Abstract】 From cognition aspect,we focus on the discipline status of computer graphics.From viewpoint of representation,we comprehend that graphics and image are different only in display mode of picture elements.From visual angle of construction,we expatiate upon geometric quality of model.From global unscrambling of computer graphics,we come towards the essence character of computer graphics.From carding of graphics and image generating,we nail down the status and function of computational geometry in computer graphics.From the direction of computer graphics progress,we consider the importance of geometry.From geometric modeling system instability caused by geometric singularity ultimately,we grasp computational geometry as the crux.From parsing of coordinate system,we disclose the internal relationship between graphic transformation and basic geometry.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,we discover basic theories of computational geometry, thinking method,geometric structure,geometric problems and their algorithms and complexity analysis.更多还原