Pixel level multifocus image fusion based on variational decomposition in combination with structure tensor analysis

An image fusion Algorithm based on variational decomposition and energy of edge is presented in this paper. Firstly, each source image is decomposed into a geometrical component and a textured component by applying Rudin-Osher-Fatemi (ROF) model in combination with Chambolle's projection algorithm. Secondly, the corresponding components are fused separately. For fusing the geometrical components, a weighted average method is adopted. To construct the textured component, an indirect smoothing method is firstly applied to the composed textured component of each source image, and then a selection mode is used according to the local Energy of Laplacian measure. Finally, the sum of the fused components is calculated to obtain the fused resultant. Experiments show that the proposed algorithm works well in multi focus image fusion.

[1]  Yaonan Wang,et al.  Combination of images with diverse focuses using the spatial frequency , 2001, Inf. Fusion.

[2]  Antonin Chambolle,et al.  Image Decomposition into a Bounded Variation Component and an Oscillating Component , 2005, Journal of Mathematical Imaging and Vision.

[3]  Paul S. Fisher,et al.  Image quality measures and their performance , 1995, IEEE Trans. Commun..

[4]  M. Nikolova An Algorithm for Total Variation Minimization and Applications , 2004 .

[5]  Gabriel Cristóbal,et al.  Multifocus image fusion using the log-Gabor transform and a Multisize Windows technique , 2009, Inf. Fusion.

[6]  Gemma Piella,et al.  Image Fusion for Enhanced Visualization: A Variational Approach , 2009, International Journal of Computer Vision.

[7]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[8]  Antonin Chambolle,et al.  Dual Norms and Image Decomposition Models , 2005, International Journal of Computer Vision.

[9]  Gemma Piella,et al.  A general framework for multiresolution image fusion: from pixels to regions , 2003, Inf. Fusion.

[10]  G. Eichmann,et al.  Vector median filters , 1987 .

[11]  Qiang Zhang,et al.  Multifocus image fusion using the nonsubsampled contourlet transform , 2009, Signal Process..

[12]  Jan Flusser,et al.  Image registration methods: a survey , 2003, Image Vis. Comput..

[13]  Yves Meyer,et al.  Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures , 2001 .

[14]  Silvano Di Zenzo,et al.  A note on the gradient of a multi-image , 1986, Comput. Vis. Graph. Image Process..

[15]  Jing Tian,et al.  Improving Empirical Mode Decomposition Using Support Vector Machines for Multifocus Image Fusion , 2008, Sensors.

[16]  Altan Mesut,et al.  A comparative analysis of image fusion methods , 2012, 2012 20th Signal Processing and Communications Applications Conference (SIU).

[17]  Yaonan Wang,et al.  Multifocus image fusion using artificial neural networks , 2002, Pattern Recognit. Lett..