论文标题
基于弗雷霍尔姆积分的现场失真模型
Field Distortion Model Based on Fredholm Integral
论文作者
论文摘要
现场失真在成像系统中是广泛的。如果不能很好地测量和校正，它将影响摄影测量的准确性。为此，我们提出了一个基于弗雷霍尔姆集成的一般野外失真模型，该模型使用了重建的高分辨率参考点扩散函数（PSF）和两组4变量多项式来描述成像系统。该模型包括从对象空间到图像空间的点对点位置失真以及PSF的变形，以便我们可以以任意精度测量实际场失真。我们还得出了校正图像传感器的采样效果所需的公式。通过数值模拟，我们验证了模型和重建算法的有效性。该模型将在高精度图像校准，摄影测量法和天体测量标准中具有潜在的应用。
Field distortion is widespread in imaging systems. If it cannot be measured and corrected well, it will affect the accuracy of photogrammetry. To this end, we proposed a general field distortion model based on Fredholm integration, which uses a reconstructed high-resolution reference point spread function (PSF) and two sets of 4-variable polynomials to describe an imaging system. The model includes the point-to-point positional distortion from the object space to the image space and the deformation of the PSF so that we can measure an actual field distortion with arbitrary accuracy. We also derived the formula required for correcting the sampling effect of the image sensor. Through numerical simulation, we verify the effectiveness of the model and reconstruction algorithm. This model will have potential application in high-precision image calibration, photogrammetry and astrometry.
