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�������պ����ѧѧ�� 2009, Vol. 35 Issue (10) :1214-1219    DOI:
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Image mapping approach based on biharmonic spline interpolation concerning dot arrangement and multi-mapping
Lai Guojun, Shen Gongxin*
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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ժҪ �����DSPIV(Digital Stereo Particle Image Velocimetry)��ͼ�񼸺�У����,У�����Ͽ��Ƶ�����з�ʽ��ͼ��У�������������Ӱ��,��ʹ��˫����������������У��ӳ�亯����������,�ֱ�ʹ����11��×21�С�21��×21�С�11��×41�С�21��×41�к�16��×31��5�ֿ��Ƶ���оࡢ���о����е�У����������ͼ��У��,��������5�ֿ��Ƶ����з�ʽ��Ӧ��У��׼�Ⱥ�У������.����,Ϊ��һ����Сͼ��У�����,������˶Ծ���У�����õ�ͼ������ظ�ͼ��У��.ʵ��������:���ſ��Ƶ���Ŀ������,У��׼�Ⱥ�У�����Ȼ���Ӧ���;�����ظ�ͼ��У����У��׼�Ⱥ�У����������һ��У���Ľ��,����Ҫ�ķѸ����ͼ����ʱ��.
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Abstract�� To obtain connection between dot arrangement on mapping board and image mapping error of digital stereo particle image velocimetry (DSPIV), five mapping boards with rectangular dot pattern covering aera of same size were used respectively to perform image mapping. Dot spacing in these dot pattern was equal in row and in column. A biharmonic spline function based on the Green function was employed as mapping model in this process. Statistic value of absolute differences between dot-center coordinates after mapping and their theoretical values and its standard deviation were calculated for comparison of image mapping errors. An image multi-mapping approach was also presented. Another image mapping was performed consecutively on the image obtained from the first mapping process. The experimental result shows that the image mapping errors decrease as the dot number on the mapping board increases and the image multi-mapping approach can decrease the mapping errors compared to those of single mapping, but at the cost of time consuming.
Keywords�� digital stereo particle image velocimetry (DSPIV)   biharmonic spline interpolation   dot arrangement   multi-mapping     
Received 2008-10-06;
Fund:

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About author: ������(1982-),��,������ɽ��,��ʿ��,sonic3.0@163.com.
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������, �깦��.���Ƶ����ж�ͼ��У����Ӱ�켰�ظ�У��[J]  �������պ����ѧѧ��, 2009,V35(10): 1214-1219
Lai Guojun, Shen Gongxin.Image mapping approach based on biharmonic spline interpolation concerning dot arrangement and multi-mapping[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2009,V35(10): 1214-1219
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