Level Set Methods and the Stereo Problem
Level Set Methods and the Stereo Problem
复制标题
水平集方法和立体问题
DOI：
10.1007/3-540-63167-4_57
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
R. Keriven
中科院分区：
文献类型：
--
作者：
O. Faugeras;R. Keriven
我们提出了一种新的几何方法来解决任意数量的图像（大于或等于2）的立体问题。它基于变分原理的定义，该变分原理必须由场景中的对象的表面及其图像来满足。从变分原理推导出的欧拉-拉格朗日方程提供了一组偏微分方程，该偏微分方程用于使初始表面组变形，然后使初始表面组朝向待检测的物体移动。这些PDE的水平集实现潜在地提供了一种实现表面演化的有效且鲁棒的方式，并且在变形期间自动处理表面拓扑的变化，即处理多个对象。我们的理论的二维实现的结果是在合成和真实的图像。
We present a novel geometric approach for solving the stereo problem for an arbitrary number of images (greater than or equal to 2). It is based upon the definition of a variational principle that must be satisfied by the surfaces of the objects in the scene and their images. The Euler-Lagrange equations which are deduced from the variational principle provide a set of PDE's which are used to deform an initial set of surfaces which then move towards the objects to be detected. The level set implementation of these PDE's potentially provides an efficient and robust way of achieving the surface evolution and to deal automatically with changes in the surface topology during the deformation, i.e. to deal with multiple objects. Results of a two dimensional implementation of our theory are presented on synthetic and real images.