Reconstruction of curved solids from two polygonal orthographic views

It has long been known that the 2-view orthographic representation of a mechanical part is ambiguous. Existing literature addresses the recognition/reconstruction of solids (mostly polyhedral solids) from either 1-view (perspective) drawings or from three orthographic views. The paper presents algorithmsfor reconstructing curved solids from only two polygonal orthographic views. First, all the polyhedral solids that correspond to the pair of prespecified orthogonal views are reconstructed, and then the associated third views are developed. Then, for each solid, the three views are analyzed simultaneously, and the authors reason about the possibilities of including circular arcs in the newly generated third view. This corresponds to the inclusion of solids that are bounded by quadrics. Possible application areas include computer-aided design, machine vision and automated inspection systems.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/30171/1/0000556.pd