一类模拟生物复眼几何结构的数据处理方法——方向量子化表示的理论

A New Data Processing Method Based on A Biological Model of Compound Eye: Direction Quantization Representation and Its Theory

基于对生物复眼几何结构的模拟 ,提出一类新颖而有效的数据处理方法——方向量子化方法 .该方法适宜于处理由高维数据所表示的凸体的几何外形 ,具有简洁有效、适用广泛、半动态维护简便和易于在各种并行计算模型上实现等优点 .理论分析和数值模拟表明 :这一方法理论基础坚实 ,计算稳定可靠 。

A new data representation method called direction quantization representation is presented by simulating a simplified geometric model of biological compound eye. This representation is used in processing the shape of convex hulls of objects and its advantages include efficiency and stability in numerical computation,wide applicability to various convex set related problems,convenience for semi dynamic maintenance, suitability for parallel implementation. Theoretical analysis and numerical tests show that this representation has a profound mathematical theory and can be applied to many practical problems.