3D Structure Extraction Method Based on Three-Dimensional Rectification for Straight Homogeneous Generalized Cylinders

A three-dimensional (3D) structure extraction algorithm based on a rectification method in 3D space for SHGC (straight homogeneous generalized cylinders) is designed in this paper. This algorithm resorts to the properties of SHGC and aims at the difficulties of the 3D information extraction from a single image. Different from the conventional algorithms of SHGC, a two-dimensional cross section which resemble the cross section of the original object is constructed in this algorithm. The cross section is placed into a 3D coordinates system with an additional z-axis, which is perpendicular to the 2D cross section. The interesting points on the constructed cross section are matched with those on the cross section of the object from the image. The affine imaging arguments pair (λ, θ) under the circumstance of the best matching solution are searched step by step through the rotation and transportation operated on the constructed cross section. With the best result pair (λ, θ), the 3D information of the cross section can be extracted quickly, and the whole 3D structure can be obtained at the next step if the contour is extracted by the meridian of the SHGC. The texture of the SHGC can be extracted and is pasted onto the 3D structure through a mass of triangular grids. The experiments show that the proposed algorithm is available and proper.