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�������պ����ѧѧ�� 2005, Vol. 31 Issue (03) :316-320    DOI:
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1. �������պ����ѧ ��е���̼��Զ���ѧԺ, ���� 100083;
2. �������պ����ѧ ���Ͽ�ѧ�빤��ѧԺ, ���� 100083
Application of algorithm of intersection between lines and random curves in calculating grain size
Yu Yang1, Liu Erli1, Zhou Tietao2, Liu Peiying2*
1. School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. School of Materials Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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Abstract�� The feasibility of computerization problem of grain size measuration was discussed from the viewpoint of Material Science. The average diameter method was adopted to compute the grain size for an image processed about grain-edge. Based on the Freeman code principle, the differences between the method for seeking the intersection between lines and curves in Euclidean space and that in Pan-Euclidean space were analyzed, and the conception of pseudo-intersection was proposed, the solution for calculating intersection was advanced theoretically. the factors that influence the computation of the intersections between lines and curves were analyzed from the viewpoint of computer graphics, and the corresponding solution in algorithm was provided. The results of calculation are identical with the experimental result finally; the method is approved to be swift and efficient, and can be used in engineering analysis.
Keywords�� computer graphics   grain size   stereology   quantitative metallography   intersection between lines   average diameter method     
Received 2003-10-08;
Fund:

����863�ƻ�������Ŀ(2001AA332030)

About author: �� ��(1978-),��,ɽ��������,˶ʿ��, freshyy@163.com.
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����, ������, ������, ����Ӣ.ֱ���������������㷨�ھ����ȼ����Ӧ��[J]  �������պ����ѧѧ��, 2005,V31(03): 316-320
Yu Yang, Liu Erli, Zhou Tietao, Liu Peiying.Application of algorithm of intersection between lines and random curves in calculating grain size[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2005,V31(03): 316-320
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