摘要
参数可控的表面形貌建模方法依赖于高效的数学建模工具,而传统的表面建模方法由于参数的非稀疏性和冗余性,难以将平稳纹理过程与非平稳随机分形过程相互有机结合。本文通过引入多方向小波建模并与多重分形建模方法相结合,构造了具有多尺度、多方向、多重分形性质的基于多方向小波的表面形貌建模方法。通过人工设定不同表面形貌参数,计算机可以对铣加工表面形貌的特征进行建模仿真,并生成对应的功率谱进行对比与分析。实验表明,通过多方向小波构造的粗糙表面相较于传统的各向异性分形表面建模或纹理建模,具有更优秀的纹理控制能力与多尺度建模能力,可以在任意方向与尺度上按需求建立准确的表面纹理形貌与多重分形特征,有效实现所需的表面形貌。
Modeling method of parametricrough surface morphological depends on efficient mathematical modeling tools. The traditional rough surface modeling methods are difficult to control stationary texture or combine processes with nonstationary stochastic fraetal processes due to the non-sparseness and redundancy of the control parameters. In this paper, combining multi-directional wavelet modeling with muhi-fractal modeling method, an improved rough surface modeling method based on the multi-directional wavelet, with multi-scale, multi-directional and muhi-fraetal properties is constructed. By manually setting different surface morphological parameters, the program can model and analyze surface shape or corre- sponding power spectrum of milling surface. The results show that the rough surface constructed by multi-directional wavelet is more suitable than the traditional anisotropic fractal surface modeling or texture modeling. Method of multi-directional wavelet modeling has better texture control ability and multi-scale modeling ability, can satisfy the required surface morphol- ogy in any directional and scale.
作者
李伟凡
周超
谢映
Li Weifan,Zhou Chao, Xie Ying
出处
《工具技术》
2018年第5期124-129,共6页
Tool Engineering
基金
福建省自然科学基金(2016J01225)
关键词
多方向小波
表面建模
多重分形
表面结构参数
multi-directional wavelet
rough surface modeling
multi-fractal
surface structure parameter
