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  4. Shape from bandwidth: the 2-D orthogonal projection case
 
conference paper

Shape from bandwidth: the 2-D orthogonal projection case

Scholefield, Adam James  
•
Bejar Haro, Benjamin  
•
Vetterli, Martin  
2017
Proceedings of the 42nd IEEE International Conference on Acoustics, Speech and Signal Processing
The 42nd IEEE International Conference on Acoustics, Speech and Signal Processing

Could bandwidth—one of the most classic concepts in signal processing—have a new purpose? In this paper, we investigate the feasibility of using bandwidth to infer shape from a single image. As a first analysis, we limit our attention to orthographic projection and assume a 2-D world. We show that, under certain conditions, a single image of a surface, painted with a bandlimited texture, is enough to deduce the surface up to an equivalence class. This equivalence class is unavoidable, since it stems from surface transformations that are invisible to orthographic projections. A proof of concept algorithm is presented and tested with both a simulation and a simple practical experiment.

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