Metric reconstruction of straight homogeneous generalized cylinders with elliptical cross-section from a single image

Richen Liu, Zhihong Wu, Dequan Guo · Journal of Electronic Imaging · 2015

A new three-dimensional metric reconstruction method for straight homogeneous generalized cylinders with elliptical cross-section (SHGC-E) from a single image is addressed. By using an elliptical truncated cone shape, the elliptical cross-section is computed by back-projection. The conditions under which the imaged limb can be considered an imaged meridian under perspective projection are discussed and proved. Furthermore, the imaged meridian of SHGC-E is identified and recovered by some of the proposed special properties of SHGC-E.

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