3D Reconstruction From Planar Line Drawings

The study of3D reconstruction from Positive Axonometric Line Drawings is based on Positive Axonometric Line Drawings, using computer interpretation and extract data from line drawings. According to the formula, we can anti-determined the lost hidden data information, and we will know the hidden structure of the three-dimensional object, at last we can produce the model of a three-dimensional object. People living in three-dimensional space, what we see and touch are both three-dimensional object, The information stored in the brain is solid objects figures, thinking is also the three-dimensional solid. By3D reconstruction from line drawings, people can be more free, error-free exchange of the object shape and structure. Reverse Engineering is an emerging technology and discipline along with data measurement advances in technology and the development of computer technology and mature developed rapidly, it is also a process that in the case of line drawings is broken and there is no design drawings or CAD model, as the basis of existing information, using a variety of digital technology, CAD secondary development of technology to reconstruct a solid model.The human vision system have no difficulty to interpret a single2D line drawing as a3D object even if the hidden lines of the object are invisible. Many reconstruction methods have been proposed to emulate this ability, but they are always failed when the hidden lines of the object are not shown. In this paper, we present a novel method to reconstructing a complete"3D object, including the shape of the back of the object, from a line drawing without hidden lines. First, we need to make a series of theoretical constraints and an algorithm for inferring the topology of the invisible edges and vertices of an object. We Introduce the theoretical basis for the3D reverse by the form of diagrams and formulas, which mainly include the relationship between the shaft angle with line-of-sight direction angle, line-of-sight direction angle, the deformation coefficient between various axial and projection direction angle, etc. Secondly, in order to get the object as consistent as what we have felt, we will make some assumptions for3D object and its topological structure, and given the constraints of the inference of the line drawings hidden structure, on the basis of previous work, we will recover the hidden structure of the line drawings. After recovering the hidden structure, we will get the line drawings without broken, so we can build the three-dimensional structure of the line drawings.The papers of innovation is using an optimization-based method to deal with the problem of three-dimensional reconstruction, establish an objective function by reasonable assumptions, and then analysis and restore the hidden structure of the line drawings. This optimization greatly reduces the error in the study. At last of the paper, we cite a application example of three-dimensional inverse, what we get is reliable after a comparative analysis, then we reverse the model of3D object.