Abstract
Medical image fusion aims at preserving salient image features, reducing the redundancy, and increasing the interpretation quality of images in clinical applications e.g. image-guided surgery. The PET image exhibits functional characteristic with low spatial resolution, while the MRI image exhibits brain tissue anatomy with high spatial resolution. Therefore, the image fusion task is carried out to inject the structural and anatomical information of the high-resolution MRI image into the metabolic information of the PET image. This paper firstly introduces the dual ripplet-II transform (DRT) to overcome the shift variance problem caused by the ripplet-II transform. The proposed transform incorporates the dual-tree complex wavelet into the traditional ripplet-II transform. Secondly, the proposed method takes advantage of the structure tensor and DRT to effectively merge the MRI and PET images. To this end, an objective function is proposed which exploits a weighting matrix to preserve more color and spatial information. Visual and statistical analyses show that the proposed method improves the visual quality and increases the quantitative criteria based on mutual information, edge information, spatial frequency, and structural similarity.







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Bhatnagar G, Wu QJ, Liu Z (2015) A new contrast based multimodal medical image fusion framework. Neurocomputing 157:143–152
Bracewell RN (1989) The fourier transform. Sci Am 260(6):86–95
Chen GY, Kégl B (2007) Image denoising with complex ridgelets. Pattern Recogn 40(2):578–585
Chen F, Qin F, Peng G, Chen S (2012) Fusion of remote sensing images using improved ICA mergers based on wavelet decomposition. Procedia Engineering 29:2938–2943
Coifman RR, Donoho DL (1995) Translation-invariant de-noising. Springer, New York, pp 125–150
Cormack AM (1981) The radon transform on a family of curves in the plane. Proc Am Math Soc 83(2):325–330
Crouse MS, Nowak RD, Baraniuk RG (1998) Wavelet-based statistical signal processing using hidden Markov models. IEEE Trans Signal Process 46(4):886–902
Cui Z, Zhang G, Wu J (2009) Medical image fusion based on wavelet transform and independent component analysis. In Artificial Intelligence, 2009. JCAI'09. International Joint Conference on (pp. 480–483). IEEE
Da Cunha AL, Zhou J, Do MN (2006) The nonsubsampled contourlet transform: theory, design, and applications. IEEE Trans Image Process 15(10):3089–3101
Dai YH, Yuan Y (1999) A nonlinear conjugate gradient method with a strong global convergence property. SIAM J Optim 10(1):177–182
Daneshvar S, Ghassemian H (2010) MRI and PET image fusion by combining IHS and retina-inspired models. Information Fusion 11(2):114–123
Deng C, Wang S, Chen X (2009) Remote sensing images fusion algorithm based on shearlet transform. In Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on (Vol. 3, pp. 451–454). IEEE
Do MN, Vetterli M (2003) The finite ridgelet transform for image representation. IEEE Trans Image Process 12(1):16–28
Do MN, Vetterli M (2005) The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans Image Process 14(12):2091–2106
Du J, Li W, Lu K, Xiao B (2016) An overview of multi-modal medical image fusion. Neurocomputing 215:3–20
Easley G, Labate D, Lim WQ (2008) Sparse directional image representations using the discrete shearlet transform. Appl Comput Harmon Anal 25(1):25–46
Fowler JE (2005) The redundant discrete wavelet transform and additive noise. IEEE Signal Processing Letters 12(9):629–632
Ganasala P, Kumar V (2014) CT and MR image fusion scheme in nonsubsampled contourlet transform domain. J Digit Imaging 27(3):407–418
Ganasala P, Kumar V (2016) Feature-motivated simplified adaptive PCNN-based medical image fusion algorithm in NSST domain. J Digit Imaging 29(1):73–85
Guo K, Labate D (2007) Optimally sparse multidimensional representation using shearlets. SIAM J Math Anal 39(1):298–318
He C, Liu Q, Li H, Wang H (2010) Multimodal medical image fusion based on IHS and PCA. Procedia Engineering 7:280–285
James AP, Dasarathy BV (2014) Medical image fusion: a survey of the state of the art. Information Fusion 19:4–19
Ji X, Zhang G (2015) Image fusion method of SAR and infrared image based on Curvelet transform with adaptive weighting. Multimed Tools Appl 76(17):17633–17649
Liu X, Mei W, Du H (2017) Structure tensor and nonsubsampled shearlet transform based algorithm for CT and MRI image fusion. Neurocomputing 235:131-139
Miao QG, Shi C, Xu PF, Yang M, Shi YB (2011) A novel algorithm of image fusion using shearlets. Opt Commun 284(6):1540–1547
Patel VM, Easley GR, Healy DM (2008) A new multiresolution generalized directional filter bank design and application in image enhancement. In 2008 15th IEEE International Conference on Image Processing (pp 2816–2819). IEEE
Perona P, Malik J (1990) Scale-space and edge detection using anisotropic diffusion. IEEE Trans Pattern Anal Mach Intell 12(7):629–639
Petrovic VS, Xydeas CS (2004) Gradient-based multiresolution image fusion. IEEE Trans Image Process 13(2):228–237
Piella G (2009) Image fusion for enhanced visualization: a variational approach. Int J Comput Vis 83(1):1–11
Selesnick IW, Baraniuk RG, Kingsbury NC (2005) The dual-tree complex wavelet transform. IEEE Signal Process Mag 22(6):123–151
Shahdoosti HR, Ghassemian H (2015) Fusion of MS and PAN images preserving spectral quality. IEEE Geosci Remote Sens Lett 12(3):611–615
Shahdoosti HR, Ghassemian H (2016) Combining the spectral PCA and spatial PCA fusion methods by an optimal filter. Information Fusion 27:150–160
Shahdoosti HR, Hazavei SM (2017) Image denoising in dual contourlet domain using hidden Markov tree models. Digital Signal Process 67:17-29
Shahdoosti HR, Khayat O (2016) Combination of anisotropic diffusion and non-subsampled shearlet transform for image denoising. Journal of Intelligent & Fuzzy Systems vol 30(6):3087–3098
Singh R, Khare A (2014) Fusion of multimodal medical images using Daubechies complex wavelet transform–a multiresolution approach. Information Fusion 19:49–60
Tu TM, Su SC, Shyu HC, Huang PS (2001) A new look at IHS-like image fusion methods. Information fusion 2(3):177–186
Velisavljevic V, Beferull-Lozano B, Vetterli M, Dragotti PL (2006) Directionlets: anisotropic multidirectional representation with separable filtering. IEEE Trans Image Process 15(7):1916–1933
Wang Z, Simoncelli EP, Bovik AC (2003) Multiscale structural similarity for image quality assessment. In Signals, Systems and Computers, 2004. Conference Record of the Thirty-Seventh Asilomar Conference on (Vol. 2, pp 1398–1402). IEEE
Wang L, Li B, Tian LF (2014) Multi-modal medical image fusion using the inter-scale and intra-scale dependencies between image shift-invariant shearlet coefficients. Information Fusion 19:20–28
Xiao YH, XI ZH, Hai T, Guo L (2011) Image edge detection based on nonsubsampled contourlet transform. Systems Engineering and Electronics 33(7):1668–1672
Xu Z (2014) Medical image fusion using multi-level local extrema. Information Fusion 19:38–48
Xu J, Wu D (2010) Ripplet-II transform for feature extraction. In Visual Communications and Image Processing 2010 (pp. 77441R-77441R). International Society for Optics and Photonics
Xu J, Yang L, Wu D (2010) Ripplet: a new transform for image processing. J Vis Commun Image Represent 21(7):627–639
Xydeas CS, Petrovic V (2000) Objective image fusion performance measure. Electron Lett 36(4):308–309
Zhang X, Li X, Feng Y Image fusion based on simultaneous empirical wavelet transform. Multimed Tools Appl 76(6):8175–8193
Zhao W, Xu Z, Zhao J (2016) Gradient entropy metric and p-Laplace diffusion constraint-based algorithm for noisy multispectral image fusion. Information Fusion 27:138–149
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Shahdoosti, H.R., Mehrabi, A. MRI and PET image fusion using structure tensor and dual ripplet-II transform. Multimed Tools Appl 77, 22649–22670 (2018). https://doi.org/10.1007/s11042-017-5067-1
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DOI: https://doi.org/10.1007/s11042-017-5067-1