Water reflection recognition via minimizing reflection cost based on motion blur invariant moments

Water reflection, a kind of typical imperfect reflection symmetry problem, plays an important role in image content analysis. However, existing techniques of symmetry recognition cannot recognize water reflection images correctly because of the complex and various distortions caused by water wave. To address this difficulty, we construct a novel feature space which is composed of motion blur invariant moments. Moreover, we propose an efficient detection algorithm to determine the reflection axis in images with water reflection. By experimenting on real image dataset with different tasks, the proposed techniques demonstrate impressive results in the water reflection image classification, the reflection axis detection, and the retrieval of the images with water reflection.

[1]  Chew Lim Tan,et al.  Motion deblurring for optical character recognition , 2005, Eighth International Conference on Document Analysis and Recognition (ICDAR'05).

[2]  Jan-Olof Eklundh,et al.  Detecting Symmetry and Symmetric Constellations of Features , 2006, ECCV.

[3]  J. Nasar,et al.  Landscape mirror: the attractiveness of reflecting water , 2004 .

[4]  Szymon Rusinkiewicz,et al.  Eurographics Symposium on Geometry Processing (2007) Symmetry-enhanced Remeshing of Surfaces , 2022 .

[5]  Daniel P. Huttenlocher,et al.  Efficient Graph-Based Image Segmentation , 2004, International Journal of Computer Vision.

[6]  Jan Flusser,et al.  Moment Forms Invariant to Rotation and Blur in Arbitrary Number of Dimensions , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Stuart A. Friedberg,et al.  Finding axes of skewed symmetry , 1986, Comput. Vis. Graph. Image Process..

[8]  S. Panchanathan,et al.  Image Indexing Using Moments and Wavelets , 1996, 1996. Digest of Technical Papers., International Conference on Consumer Electronics.

[9]  Jan Flusser,et al.  Recognition of Images Degraded by Linear Motion Blur without Restoration , 1994, Theoretical Foundations of Computer Vision.

[10]  Yanxi Liu,et al.  Rotation symmetry group detection via frequency analysis of frieze-expansions , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[11]  Tat-Jen Cham,et al.  Symmetry detection through local skewed symmetries , 1995, Image Vis. Comput..

[12]  Luc Van Gool,et al.  The Characterization and Detection of Skewed Symmetry , 1995, Comput. Vis. Image Underst..

[13]  Takeo Kanade,et al.  Mapping Image Properties into Shape Constraints: Skewed Symmetry, Affine-Transformable Patterns, and the Shape-from-Texture Paradigm , 1983 .

[14]  Gareth Loy,et al.  Detecting Bilateral Symmetry in Perspective , 2006, 2006 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW'06).

[15]  Yanxi Liu,et al.  Local facial asymmetry for expression classification , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[16]  Faouzi Ghorbel,et al.  Shape analysis and symmetry detection in gray-level objects using the analytical Fourier-Mellin representation , 2004, Signal Process..

[17]  Luca Lucchese,et al.  Frequency domain classification of cyclic and dihedral symmetries of finite 2-D patterns , 2004, Pattern Recognit..

[18]  Ming-Kuei Hu,et al.  Visual pattern recognition by moment invariants , 1962, IRE Trans. Inf. Theory.

[19]  Luc Van Gool,et al.  Symmetry From Shape and Shape From Symmetry , 1995, Int. J. Robotics Res..

[20]  Kok Cheong Wong,et al.  Detection and localisation of reflectional and rotational symmetry under weak perspective projection , 1999, Pattern Recognit..

[21]  Shiu Yin Yuen,et al.  Two methods for detecting symmetries , 1994, Pattern Recognit. Lett..

[22]  Hui Ji,et al.  Motion blur identification from image gradients , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[23]  Dinggang Shen,et al.  Robust detection of skewed symmetries by combining local and semi-local affine invariants , 2001, Pattern Recognit..

[24]  John Stillwell,et al.  Symmetry , 2000, Am. Math. Mon..

[25]  Terrance E. Boult,et al.  Analyzing skewed symmetries , 1994, International Journal of Computer Vision.

[26]  Benoit M. Macq,et al.  Fast and automatic tumoral area localisation using symmetry , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[27]  Xiaochun Cao,et al.  Water Reflection Detection Using a Flip Invariant Shape Detector , 2010, 2010 20th International Conference on Pattern Recognition.

[28]  Andreas Kuehnle,et al.  Symmetry-based recognition of vehicle rears , 1991, Pattern Recognit. Lett..

[29]  Jan Flusser,et al.  Moment Invariants in Image Analysis , 2007 .