Dr. David Cubanski Profile

Dr. David Cubanski

at Mosaic Engineering Inc

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Proceedings Article | 1 January 1990 Paper

Implementation aspects and performance of 3-D object reconstruction from silhouettes

David Cyganski, John Orr, David Cubanski, Steven Shiller

Proceedings Volume 1260, (1990) https://doi.org/10.1117/12.20016

KEYWORDS: Spatial resolution, Reconstruction algorithms, Cameras, Differential equations, Error analysis, 3D displays, Quantization, Electrical engineering, Light sources, Imaging systems

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This paper presents the development and implementation of a method for reconstruction of threedimensional object information from silhouettes. Previous work has demonstrated the possibility of such reconstruction based on the differential equations relating surface terminator curves and their projections, but has not addressed important aspects of the implementation given spatially quantized images and a finite number of silhouettes. The method presented here is exact in that it makes appropriate use of angularly and spatially quantized silhouette information to form convex bounds for non-convex objects. For a given set of quantized silhouettes inner and outer convex hulls are obtained by means of an efficient algorithm. The true object convex hull must lie between these two hulls which represent the tightest hulls that can be constructed with the given information. Results of reconstruction by the algorithm are shown, using actual camera-acquired silhouette data. A detailed analysis of the sources of error is presented, demonstrating the effects of spatial quantization of the original silhouettes and of the angular separation of successive silhouettes. It is shown that for a given spatial resolution and local object curvature, an optimum angular separation between pairs of silhouette views exists, and that reconstruction error increases with either a larger or small angular separation. The convex hull boundary construction used in this work is shown to always use the best pair of silhouette points for each hull vertex.

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