A scheme for 3D object reconstruction from dimensioned orthographic views

3D object reconstruction from 2D orthographic views has been a major research issue during the past two decades. Existing algorithms assume coordinate-based, error-free input and expert acknowledgment. The approach presented in this work proposes an automatic procedure for 3D object reconstruction from 2D engineering drawings which mimics skilled human intelligence. Combining elements of variational geometry, matrix algebra and graph theoretic methods, the approach incorporates high level understanding of 2D engineering drawings, topological relations and dimensional scheme analysis for each 2D view. The dimensioning schemes of each view are merged into a common dimensioning scheme of the entire object. We present the principles of the methodology and demonstrate it on a simple example