In incoherent digital holography (IDH), the reconstructed image may be distorted owing to lens aberration, which degrades image quality. A conventional camera lens is designed such that image distortion is minimized, but it is difficult to design the lens in IDH because the object is not imaged on the plane and its image is captured as interference fringes. Therefore, we developed a distortion compensation method using a camera model with introduced lens distortion that appears in the image as radial and tangential distortions. Although a camera model has been used in two-dimensional image acquisition, we applied it to three-dimensional image acquisition. First, a crosshatch board was captured by IDH and camera parameters and distortion coefficients were calculated from the relationship between the intersection interval of the board and the coordinates of the intersection on the reconstructed image. Then, the distorted image of the crosshatch board was compensated for using the obtained camera parameters and distortion coefficients. We confirmed that the vertical and horizontal lines of the curved crosshatch board became straight and distortions were compensated for. We also confirmed that the same parameters and coefficients could be used to compensate for distortions of images of any objects. Furthermore, we compensated for image distortion with different object depth distances using the same parameters and coefficients, and we showed that the compensation was possible even when the object was placed at different depth distances. This method can be easily applied to IDH and is effective for compensating for image distortion caused by lens distortion.

在非相干数字全息 (IDH) 中，重建的图像可能会由于镜头像差而失真，从而降低图像质量。传统的相机镜头被设计成使图像失真最小化，但是很难在 IDH 中设计镜头，因为物体不是在平面上成像并且其图像被捕获为干涉条纹。因此，我们开发了一种畸变补偿方法，该方法使用引入了镜头畸变的相机模型，该畸变在图像中表现为径向和切向畸变。尽管相机模型已用于二维图像采集，但我们将其应用于三维图像采集。第一的，用IDH捕获交叉影线板，并根据板的相交间隔与重建图像上的相交坐标之间的关系计算相机参数和畸变系数。然后，使用获得的相机参数和畸变系数对交叉影线板的畸变图像进行补偿。我们确认弯曲的交叉影线板的垂直线和水平线变得笔直并且扭曲得到补偿。我们还证实，相同的参数和系数可用于补偿任何物体图像的失真。此外，我们使用相同的参数和系数补偿了不同物体深度距离的图像失真，我们证明了即使将物体放置在不同的深度距离，也可以进行补偿。这种方法可以很容易地应用于IDH，并且对于补偿由于镜头畸变引起的图像畸变是有效的。