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A smooth local polynomial model of vignetting

The vignetting is one of image distortions, which refers to the fall-off of pixel intensity due to optical properties of the camera and lens system. The effect of vignetting on image is unwanted in image processing and analysis. The vignetting of the camera-lens system can be determined using the vignetting model. The local vignetting polynomial model allows to fit the vignetting data with more flexibility, but at the cost of increased of vignetting function distortions. This paper introduces a new smooth local polynomial vignetting model, which is a modification of local vignetting polynomial model. The conducted experiments on broad range of lens settings shows that filtering allows to improve the vignetting function smoothness.