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A Comprehensive and Versatile Camera Model for Cameras with Tilt Lenses

机译:具有倾斜镜头的相机的全面和多功能相机型号

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摘要

We propose camera models for cameras that are equipped with lenses that can be tilted in an arbitrary direction (often called Scheimpflug optics). The proposed models are comprehensive: they can handle all tilt lens types that are in common use for machine vision and consumer cameras and correctly describe the imaging geometry of lenses for which the ray angles in object and image space differ, which is true for many lenses. Furthermore, they are versatile since they can also be used to describe the rectification geometry of a stereo image pair in which one camera is perspective and the other camera is telecentric. We also examine the degeneracies of the models and propose methods to handle the degeneracies. Furthermore, we examine the relation of the proposed camera models to different classes of projective camera matrices and show that all classes of projective cameras can be interpreted as cameras with tilt lenses in a natural manner. In addition, we propose an algorithm that can calibrate an arbitrary combination of perspective and telecentric cameras (no matter whether they are tilted or untilted). The calibration algorithm uses a planar calibration object with circular control points. It is well known that circular control points may lead to biased calibration results. We propose two efficient algorithms to remove the bias and thus obtain accurate calibration results. Finally, we perform an extensive evaluation of the proposed camera models and calibration algorithms that establishes the validity and accuracy of the proposed models.
机译:我们为配备有透镜的相机型号,可以在任意方向上倾斜(通常称为Scheimpflug Octics)。拟议的型号是全面的:它们可以处理机器视觉和消费者摄像机的常用倾斜镜头类型,并正确描述了物体和图像空间中的透射角度的透镜的成像几何形状,这对于许多镜头来说是真的。此外,它们是多功能的,因为它们也可用于描述立体图像对的整流几何形状,其中一个相机是透视的,另一个相机是远心。我们还研究了模型的退化性,并提出了处理DeeneraCies的方法。此外,我们研究所提出的相机模型对不同类别的投影相机矩阵的关系,并显示所有类投影摄像机可以以自然方式用倾​​斜镜头解释为相机。此外,我们提出了一种可以校准透视和远心相机的任意组合的算法(无论它们是倾斜还是直接)。校准算法使用具有圆形控制点的平面校准对象。众所周知,圆形控制点可能导致偏置校准结果。我们提出了两个有效的算法来消除偏差,从而获得精确的校准结果。最后,我们对所提出的相机模型和校准算法进行了广泛的评估,该算法建立了所提出的模型的有效性和准确性。

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