Curvature Based Corner Detector for Discrete, Noisy and Multi-Scale Contours

@article{Kerautret2008CurvatureBC,
  title={Curvature Based Corner Detector for Discrete, Noisy and Multi-Scale Contours},
  author={Bertrand Kerautret and Jacques-Olivier Lachaud and Beno{\^i}t Naegel},
  journal={Int. J. Shape Model.},
  year={2008},
  volume={14},
  pages={127-145}
}
Estimating curvature on digital shapes is known to be a difficult problem even in high resolution images 10,19. Moreover the presence of noise contributes to the instability of the estimators and limits their use in many computer vision applications like corner detection. Several recent curvature estimators 16,13,15, which come from the discrete geometry community, can now process damaged data and integrate the amount of noise in their analysis. In this paper, we propose a comparative… 
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References

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Comparison of Discrete Curvature Estimators and Application to Corner Detection
TLDR
This paper compares and analyse the performances of these curvature estimators on several types of contours and measures execution time on both perfect and noisy shapes.
Corner Detection Based on Morphological Disk Element
TLDR
A new morphological detector, which uses simple symmetric disk element in corner detection to avoid element rotation and improve the running efficiency and the ability in estimating corner angle and orientation during the detection.
Error-Bounds on Curvature Estimation
TLDR
One interesting result is that, contrary to intuition, the accurate calculation of the curvature for low-curvature regions is in fact impossible for common image-sizes, while reasonable results may under favourable conditions be obtained for higher-curVature regions.
A Unified Curvature Definition for Regular, Polygonal, and Digital Planar Curves
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The proposed definition of visual curvature is the first ever that applies to regular curves as defined in differential geometry as well as to turn angles of polygonal curves and it yields stable curvature estimates of curves in digital images even under sever distortions.
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A new curvature estimator based on global optimisation is introduced that exploits the geometric properties of digital contours by using local bounds on tangent directions defined by the maximal digital straight segments.
Curvature Estimation in Noisy Curves
An algorithm of estimation of the curvature at each point of a general discrete curve in O(n log2 n) is proposed. It uses the notion of blurred segment, extending the definition of segment of
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TLDR
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