directional representations
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2018 ◽  
Vol 15 (12) ◽  
pp. 1837-1841 ◽  
Author(s):  
Wojciech Czaja ◽  
James Michael Murphy ◽  
Daniel Weinberg

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Zhao Jian ◽  
Sun Meiling ◽  
Jia Jian ◽  
Huang Luxi ◽  
Han Fan ◽  
...  

Extended discrete shearlet provides a directional multiresolution decomposition. It has been mathematically shown that extended discrete shearlet is a more efficient representation for the signals containing distributed discontinuities such as edges, compared to discrete wavelet. Multiresolution analyses such as curvelet and ridgelet share similar properties, yet their directional representations are significantly different from that of extended discrete shearlet. Taking advantage of the unique properties of directional representation of extended discrete shearlet, we develop an image watermark algorithm based on the largest information entropy. In proposed algorithm, firstly, 1-level extended discrete shearlet transform decomposes the test image into directional components on horizontal cone; each directional component reflects directional features and textured features differently. Next, the directional component whose information entropy is the highest is selected to carry watermark. Compared with related algorithms based on DWT and DCT, the proposed algorithm tends to obtain preferable invisibility when it is robust against common attacks.


2013 ◽  
Author(s):  
Burcin Ozcan ◽  
Demetrio Labate ◽  
David Jiménez ◽  
Manos Papadakis

2006 ◽  
Author(s):  
Christopher A. Kurby ◽  
Katja Wiemer-Hastings ◽  
Joseph P. Magliano

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