2011
Error bounds on the reconstruction of binary images from low resolution scans
Publication
Publication
Presented at the
International Conference on Computer Analysis of Images and Patterns (August 2011), Seville, Spain
In this paper, we consider the problem of reconstructing a high- resolution binary image from several low-resolution scans. Each of the pixels in a low-resolution scan yields the value of the sum of the pixels in a rectangular region of the high-resolution image. For any given set of such pixel sums, we derive an upper bound on the difference between a certain binary image which can be computed efficiently, and ANY binary image that corresponds with the given measurements. We also derive a bound on the difference between any two binary images having these pixel sums. Both bounds are evaluated experimentally for different geometrical settings, based on simulated scan data for a range of images.
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| Springer | |
| doi.org/10.1007/978-3-642-23672-3_19 | |
| Lecture Notes in Computer Science | |
| International Conference on Computer Analysis of Images and Patterns | |
| Organisation | Scientific Computing |
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Fortes, W., & Batenburg, J. (2011). Error bounds on the reconstruction of binary images from low resolution scans. In Lecture Notes in Computer Science (pp. 152–160). Springer. doi:10.1007/978-3-642-23672-3_19 |
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