基于子像素的对数极坐标反向变换研究

Research on Inverse Log-polar Transformation Based on Sub-pixel Interpolation

对数极坐标变换算法不仅是对人眼视觉系统中视网膜视皮层映射的数学描述,而且也是空间变分辨率理论的重要算法。映射变换中距离上的对数运算与角度上的反正切运算导致变换阵坐标存在小数,并且值域区间过于狭窄。针对这个问题,文章提出了子像素反向变换算法,新算法下的变换阵图像具有良好的连续性,同时减弱了马赛克现象。

Log-polar transformation is not only a mathematical description of the retino-cortical mapping of human vision system,but also an important algorithm of space-variant theory.The log-polar coordinates of an image is decimal fraction and the range is quite narrow because of the logarithmic and arctangent function of the transformation.Aiming at solving these problems,the inverse log-polar transformation based on sub-pixel interpolation is presented.The acquired log-polar image of the new algorithm has a few of mosaic phenomenon,meanwhile the image is continuous.