Image Centroid Algorithms for Sun Sensors with Super Wide Field of View

doi:10.11947/j.AGCS.2015.20150118

Abstract

Abstract: Sun image centroid algorithm is one of the key technologies of celestial navigation using sun sensors, which directly determine the precision of the sensors. Due to the limitation of centroid algorithm for non-circular sun image of the sun sensor of large field of view, firstly, the ellipse fitting algorithm is proposed for solving elliptical or sub-elliptical sun images. Then the spherical circle fitting algorithm is put forward. Based on the projection model and distortion model of the camera, the spherical circle fitting algorithm is used to obtain the edge points of the sun in the object space, and then the centroid of the sun can be determined by fitting the edge points as a spherical circle. In order to estimate the precision of spherical circle fitting algorithm, the centroid of the sun should be projected back to the image space. Theoretically, the spherical circle fitting algorithm is no longer need to take into account the shape of the sun image, the algorithm is more precise. The results of practical sun images demonstrate that the ellipse fitting algorithm is more suitable for the sun image with 70°~80.3° half angle of view, and the mean precision is about 0.075 pixels; the spherical circle fitting algorithm is more suitable for the sun image with a half angle of view larger than 80.3°, and the mean precision is about 0.082 pixels.

Key words: celestial navigation, sun image, centroid algorithm, edge detection, least square fitting

CLC Number:

P228

ZHAN Yinhu, ZHENG Yong, ZHANG Chao, MA Gaofeng, LUO Yabo. Image Centroid Algorithms for Sun Sensors with Super Wide Field of View[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(10): 1078-1084.

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