复合材料第二相晶粒轮廓的非均匀B样条表示  

NON-UNIFORM BSPLINE REPRESENTATION FOR SECOND PHASE GRAIN CONTOUR IN COMPOSITE

作　　者：赵秀阳[1] 尹衍升 杨波[3] 董吉文[3] 

机构地区：[1]山东大学工程陶瓷山东省重点实验室,济南250061 [2]中国海洋大学材料学院,山东青岛266003 [3]武汉理工大学材料复合新技术国家重点实验室,武汉430070

出　　处：《硅酸盐学报》2005年第12期1464-1467,共4页Journal of The Chinese Ceramic Society

基　　金：国家自然科学基金(NO.50242008)资助项目。~~

摘　　要：在利用小波变换技术和边缘连接技术得到的陶瓷复合材料晶粒闭合边缘的基础上,根据晶粒轮廓的特点,研究了其特征型值点的合理提取方法。在此基础上,运用非均匀3次B样条曲线对晶粒轮廓进行了插值处理:对特征型值点进行累加弦长参数化,确定节点矢量,并反算出控制点,根据De Boor法得到B样条曲线上的值,形成数学语言描述的轮廓。最后研究了Fe3Al含量为40%体积分数的FeAl ZrO2复合材料在1250℃热蚀后的扫描电子显微镜图像,以VC++.Net为研究平台,选取一个第二相Fe3Al晶粒为研究对象,依据提出的算法得到晶粒轮廓的矢量化表示。The important role of contour factorization in the 3 dimensional reconstruction of composite is discussed. Based on the closed contour of a ceramic composite grain obtained by using the wavelet and edge linking techniques, a reasonable acquired method for the value of the characteristic points of the material grain contour was investigated according to the contour＇s curvature. A novel representation of material grain contour was proposed by using the non-uniform cubic B- spline curve interpolation to form a mathematically described contour. The algorithm includes four steps： accumulate the chord length parameterized characteristic points; decide the knot vector; calculate the control vertex and calculate the points on the B-spline curve by the De Boor method. The structure of the FeAl-ZrO2composite （40% volume fraction of Fe3Al） thermal etched at 1250℃ was investigated by scanning electron microscopy. Choosing an Fe3Al grain as the research objective, the factorization representation of a grain contour was obtained on a VC＋ ＋. Net platform.

关 键 词：复合材料 B样条 特征点 控制点 轮廓 

分 类 号：TB332[一般工业技术—材料科学与工程]