中文摘要：

研究对称性在农业生产中的应用,能够更加系统、深入的研究对称性的本质和利用价值,为今后农业结构调整、农作物种植、农业产业结构调整做出现实的选择。文章提出了一种基于极半径矩的图形对称性的识别方法,该方法对图形对称性的识别不是基于图形整体,而是对图形进行相应的分隔。分隔的原理基于对对称图形的分类：轴对称、中心对称与旋转对称图形。对分隔图形进行基于极半径矩的对称性识别,进而判定图形的对称性。另外,不变矩具有的平移、旋转和尺度变换的不变性也适用于基于极半径矩的图形对称性的识别方法,该方法较之以前的对称图形判定方法,依据更加严格,有效性更高。

英文摘要：

The research of the application of the symmetry to agricultural production will be helpful to deeply and systematically researching the essence and the application value of the symmetry to make a practical choice for the adjustment of agricultural structure, crops growing and agricultural industry structure adjustment in the f~ure. A recognition method for symmetric shape based on polar radius moment is proposed in this paper. This method not based on shape as a whole, but the first corresponding to the shape segmented. Segmentation principle is based on the classification of symmetry： axial symmetry, the center symmetry, rotating symmetry. In addition, the same moment with the translation, rotation and scaling transformation invariance also applies to method of based on polar radius moments symmetry shape recognition. Therefore, the method compared to the previous of symmetry recognition methods, to determine the symmetry of the shape is more effective and practical.