An Efficient Geometric Method for 3D Reconstruction Based on Images

摘要

In this article, a new geometric method for 3D reconstruction based on images is presented. The main advantage of this method is low data storage requirement and high computation process efficiency. The key mathematical methods are curve and surface modeling technology. In order to implement geometric method for 3D reconstruction, a new surface is developed named as rational W-spline surface via tensor product, through the important properties of the basis function, the authors get the important properties of the rational surface. By giving the new control matrix and the change of the parameters based on the images, 3D reconstruction effect can be obtained. This surface includes non-rational surface and rational surface, and their tensor product forms are adopted. In order to express this algorithm intuitively, the bilinear W-spline surface is realized by the experiment. The experimental results showed that the geometric method can be used to the 3D reconstruction.