Images of nearby industrial artefacts under controlled illumination yield reliable connected edge segments. Binocular stereopsis may be performed directly between pairs of line segments by matching corresponding maxima in the Hough transforms of left and right images. Constraints are imposed upon possible matches by the camera geometry. Any remaining ambiguity may be removed by a relaxation labelling algorithm derived from the local entropy of contextual information arising from line segment connectivity. The connectivity constraint may be further utilised to increase the accuracy of the stereoscopic reconstruction. Results are presented of the application of the techniques to synthetic images.