Multi-scale corner detection based on arithmetic mean curvature

Scale-space corner detection (SSCD) has been drawing much attention in the past. Multi-scale corner detection (MSCD), which recognizes corners only at several scales, can be treated as a fast implementation of SSCD. In this paper, a new MSCD algorithm is proposed, which is based on an arithmetic mean (AM) of the k-cosine curvature values respectively computed at three scales. Compared to the existing MSCD algorithms, which are all based on a geometric mean (GM) curvature, the new algorithm yields a higher numerical stability and a lower computational cost. Experimental results have demonstrated that proposed MSCD algorithm can favorably compare with the state-of-the-art corner detection algorithms.

[1]  Kumar S. Ray,et al.  Scale-space analysis and corner detection on digital curves using a discrete scale-space kernel , 1997, Pattern Recognit..

[2]  Farzin Mokhtarian,et al.  Performance evaluation of corner detectors using consistency and accuracy measures , 2006, Comput. Vis. Image Underst..

[3]  Guojun Lu,et al.  Robust Image Corner Detection Based on the Chord-to-Point Distance Accumulation Technique , 2008, IEEE Transactions on Multimedia.

[4]  Ling Xu,et al.  Corner detection based on gradient correlation matrices of planar curves , 2010, Pattern Recognit..

[5]  Kai-Kuang Ma,et al.  Scale-Space Behavior of Planar-Curve Corners , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  Guojun Lu,et al.  A Fast Corner Detector Based on the Chord-to-Point Distance Accumulation Technique , 2009, 2009 Digital Image Computing: Techniques and Applications.

[7]  Francisco Nivando Bezerra,et al.  Multiscale Corner Detection in Planar Shapes , 2012, Journal of Mathematical Imaging and Vision.

[8]  Roland T. Chin,et al.  Scale-Based Detection of Corners of Planar Curves , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Ming Lei,et al.  Multi-scale curvature product for robust image corner detection in curvature scale space , 2007, Pattern Recognit. Lett..

[10]  Farzin Mokhtarian,et al.  Robust Image Corner Detection Through Curvature Scale Space , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Kai-Kuang Ma,et al.  On the Convergence of Planar Curves Under Smoothing , 2010, IEEE Transactions on Image Processing.

[12]  Mandyam D. Srinath,et al.  Corner detection from chain-code , 1990, Pattern Recognit..

[13]  Penglang Shui,et al.  Corner Detection and Classification Using Anisotropic Directional Derivative Representations , 2013, IEEE Transactions on Image Processing.

[14]  Bimal Kumar Ray,et al.  Corner detection using iterative Gaussian smoothing with constant window size , 1995, Pattern Recognit..

[15]  Wenhe Liao,et al.  Direct Curvature Scale Space: Theory and Corner Detection , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Christopher G. Harris,et al.  A Combined Corner and Edge Detector , 1988, Alvey Vision Conference.

[17]  Nelson H. C. Yung,et al.  Corner detector based on global and local curvature properties , 2008 .

[18]  Tom Drummond,et al.  Faster and Better: A Machine Learning Approach to Corner Detection , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[19]  Azriel Rosenfeld,et al.  Angle Detection on Digital Curves , 1973, IEEE Transactions on Computers.