| 李业学*,范建辉.一种岩石断面形貌间接描述的新方法研究[J].实验力学,2015,30(5):658~668 |
| 一种岩石断面形貌间接描述的新方法研究 |
| On a New Indirect Method of Describing Rock Fractured Surface Configuration |
| 投稿时间：2015-03-04 修订日期：2015-04-04 |
| DOI：10.7520/1001-4888-15-033 |
| 中文关键词: 分数布朗运动 岩石断面 维数 |
| 英文关键词:fractional brownian motion fractured surface of rock number of dimensions |
| 基金项目:国家自然科学基金面上项目(51374100、 51374215); 湖北省自然科学基金项目(2013CFC029); “湖北省协同创新中心”开放课题(hbuascic2014009) |
|
| 摘要点击次数: 934 |
| 全文下载次数: 0 |
| 中文摘要: |
| 基于图像图形学的YUV颜色模型理论,本文提出了一种间接描述岩石断面形貌的新方法,即YUV维数法。选定一张有m个像素点的彩色数码照片,以每个像素点的Y(灰度)、U、V(色彩和色饱和度)分量分别构造欧氏空间中对应点的z、x、y坐标分量。在每个像素点处均采用上述构建方法,可在欧氏空间中确定m个点(与像素个数相同),连接构造的m个点,即可构建粗糙的YUV表面。采用分形布朗运动理论,导出了n-1~n维分形体的自仿射维数计算方法,并特例化至2~3维。求解YUV表面的自仿射维数,该维数即为YUV维数。为验证YUV维数方法的可行性,分别完成了同一岩石断面的YUV维数数值试验、激光表面仪扫描试验、扫描电子显微镜扫描试验,并采用YUV维数、普通维数和灰度维数分析同一试件的表面形貌特征。对比分析显示,相同试件的YUV维数与普通维数基本相同,且与灰度维数总体趋势近似一致。这证实了YUV维数方法的可行性。另外,计算YUV维数过程中,由于采集初始数据(彩色照片)的设备是数码相机,所以它克服了普通维数的缺陷。同时,YUV模型表征的真彩图片颜色包含了颜色的灰度、色彩和色饱度,而灰度图仅保存了灰度信息。所以,YUV维数比灰度维数更全面充分揭示了图像的分形几何特征。总之,YUV维数有着普通维数和灰度图维数无法比拟的优越性,是一种间接描述表面形貌描述的新方法。 |
| 英文摘要: |
| Based on YUV color model theory of image graphics, a new method, named YUV dimension method, of indirectly describing configuration of rock fractured surface is presented in this paper. Detailed process is as following: Selecting a color digital photo with m pixels, z, x, y coordinate components of corresponding point in Euclidean space are constructed respectively based on Y (gray scale), U,V(color and color saturation) components of every pixel. Above construction method is adopted at each pixel point, thus m points may be determined in European space (with the same number of pixel). Connecting m points determined in this way, a rough YUV surface is established. Adopting fractional Brownian motion theory, calculation method of self-affine dimension number for n-1~n dimensional fractal body is derived, which then is degenerated to 2~3 dimension case. The case is applied to evaluate the self-affine dimension number of YUV surface, i.e., YUV dimension. In order to validate the feasibility of YUV dimension method, the numerical experiment of YUV dimension, the scanning experiment based on laser profilimeter and the scanning experiment based on scanning electronic microscope for same fractured surface of rock were conducted, respectively. And fractured surface configuration characteristics of the same sample were analyzed by YUV dimension, ordinary dimension and gray-scale dimension method, respectively. Comparison shows that for the same specimen, YUV dimension and ordinary dimension are fundamentally identical, and the general trends of YUV dimension and gray-scale dimension are overall similar, which verifies the feasibility of YUV dimension theory. In addition, during the process of YUV dimension calculation, since the initial data (color photo) collecting device is a digital camera, so it overcomes the drawbacks of ordinary dimension method. Meanwhile, the true color image characterized by YUV color model contains color gray scale, hue and color saturation, nevertheless, gray-scale image keeps only gray information. Therefore, YUV dimension can more completely reveal the fractal geometric property of image than gray-scale dimension. In a word, YUV dimension has incomparable advantages over ordinary dimension and gray-scale dimension, and is a new indirect method of describing surface configuration. |
| 查看全文 下载PDF阅读器 |
| 关闭 |
|
|
|
|
|
