一种扩展小孔成像模型的鱼眼相机矫正与标定方法

鱼眼相机由于其超宽的视场范围（Field of view,FOV）（可以达到180°以上）,得到越来越广泛的应用. 常规的基于小孔成像模型的相机矫正与标定算法在超宽视场的鱼眼成像系统中已经不太适用,为了兼顾小孔模型的特点,本文提出了一种扩展小孔成像模型的鱼眼相机矫正与标定方法. 此方法是对小孔成像模型的进一步拓展,不仅具备小孔模型实现简单、适合人眼视觉效果以及相机标定方便等优点,同时将小孔成像模型适用的视场范围扩展到超宽视场领域. 其基本思路是：在利用小孔成像模型对鱼眼相机90°左右视场范围进行矫正与标定的基础上,使用非等间距的点阵模板,并结合直线拟合以及自然邻点插值算法,扩展小孔模型适用的视场范围. 本文使用鱼眼相机从不同的角度拍摄多幅模板图,完成鱼眼相机的矫正与标定. 通过求取的小孔成像模型参数实现相机的标定;对鱼眼相机拍摄的实际场景图进行畸变矫正测试,结果表明此方法能够很好地矫正鱼眼相机存在的畸变,得到符合人眼视觉效果的矫正图;单幅矫正图视场范围达到130°,结合不同角度拍摄的多幅模板图,可把矫正的视场范围扩展到180°.     

基于Phong模型的明暗恢复形状的新算法

针对传统的混合表面形状恢复算法存在较大误差的问题,提出一种透视投影下从单幅图像混合表面明暗信息恢复形状的新算法。采用Phong反射模型来描述物体表面反射特性,假设光源处于相机的光心处,建立透视投影下的图像辐照度方程。然后由辐照度方程构造包含物体深度信息的Hamilton Jacobi偏微分方程,引入局部高阶LLF通量分裂格式和五阶WENO格式逼近微分方程的粘性解,最终得到物体表面三维形状。实验结果表明,与传统算法相比,新算法的恢复高度的最大误差和平均误差均显著降低。     

Provably Convergent Methods for the Linear and Nonlinear Shape from Shading Problem

In this paper we present provably convergent algorithms for the linear and nonlinear Shape from Shading problem in the case of a Lambertian reflectance map. For the linear problem we discuss two explicit methods and one implicit method, for which we prove convergence for certain light directions. The method for the nonlinear Shape from Shading problem is based on a linear approximation of the image irradiance equation. For the resulting linear PDE the implicit method for the linear problem can be applied. We prove convergence of this method for all light directions.     

Generalization of the Lambertian model and implications for machine vision

Lambert's model for diffuse reflection is extensively used in computational vision. It is used explicitly by methods such as shape from shading and photometric stereo, and implicitly by methods such as binocular stereo and motion detection. For several real-world objects, the Lambertian model can prove to be a very inaccurate approximation to the diffuse component. While the brightness of a Lambertian surface is independent of viewing direction, the brightness of a rough diffuse surface increases as the viewer approaches the source direction. A comprehensive model is developed that predicts reflectance from rough diffuse surfaces. The model accounts for complex geometric and radiometric phenomena such as masking, shadowing, and interreflections between points on the surface. Experiments have been conducted on real samples, such as, plaster, clay, sand, and cloth. All these surfaces demonstrate significant deviation from Lambertian behavior. The reflectance measurements obtained are in strong agreement with the reflectance predicted by the proposed model. The paper is concluded with a discussion on the implications of these results for machine vision.