Call for Paper - November 2023 Edition
IJCA solicits original research papers for the November 2023 Edition. Last date of manuscript submission is October 20, 2023. Read More

Least-Squares Interpolation of Fused MR and CT Images in the Wavelet Domain

International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 55 - Number 13
Year of Publication: 2012
Eman Sultan
Sayed El-rabaie
Fathi E. Abd El-samie
Nawal El-fishawy
Said E. El-khamy

Eman Sultan, Sayed El-rabaie, Fathi Abd E El-samie, Nawal El-fishawy and Said E El-khamy. Article: Least-Squares Interpolation of Fused MR and CT Images in the Wavelet Domain. International Journal of Computer Applications 55(13):1-6, October 2012. Full text available. BibTeX

	author = {Eman Sultan and Sayed El-rabaie and Fathi E. Abd El-samie and Nawal El-fishawy and Said E. El-khamy},
	title = {Article: Least-Squares Interpolation of Fused MR and CT Images in the Wavelet Domain},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {55},
	number = {13},
	pages = {1-6},
	month = {October},
	note = {Full text available}


A suggested approach is presented in this paper to obtain high-resolution images from the fusion and then interpolation of Magnetic Resonance (MR) and Computed Tomography (CT) images. MR and CT images are fused with either the Discrete Wavelet Transform (DWT) or the curvelet transform. After that, a least-squares interpolation step is carried out on the wavelet sub-bands of the fusion result. Simulation results show the feasibility of the fusion process to obtain images with more details and the efficiency of interpolation to obtain high-resolution images.


  • A. Wang, H. J. Sun, and Y. Y. Guan, "The application of wavelet transform to multi-modality medical image fusion," in IEEE International Conference on Networking, Sensing and Control (IEEE, 2006), pp. 270–274.
  • H. Moustafa and S. Rehan, "Applying image fusion techniques for the detection of hepatic lesions and acute intra-cerebral hemorrhage," in ITI 4th International Conference on Information and Communications Technology 2006 (IEEE, 2006).
  • C. Pohl and J. L. van Genderen, "Multisensor image fusion in remote sensing: concepts, methods and application," Int. J. Remote Sens. 19, 823–854 (1998).
  • A. A. Goshtasby and S. Nikolov, "Image fusion: advances in the state of the art," Inf. Fusion 8, 114–118 (2007).
  • M. Ouendeno, "Image fusion for improved perception," Ph. D. dissertation (Florida Institute of Technology, 2007).
  • F. Maes, D. Vandermeulen, and P. Suetens, "Medical image registration using mutual information," Proceedings of the IEEE, vol. 91, no. 10, pp. 1699–1721, 2003.
  • V. Barra and J. -Y. Boire, "A general framework for the fusion of anatomical and functional medical images," NeuroImage, vol. 13, no. 3, pp. 410–424, 2001.
  • Y. -M. Zhu and S. M. Cochoff, "An object-oriented framework for medical image registration, fusion, and visualization," Computer Methods and Programs in Biomedicine, vol. 82, no. 3, pp. 258–267, 2006.
  • V. S. Petrovic and C. S. Xydeas, "Gradient-based multi-resolution image fusion," IEEE Transactions on Image Processing, vol. 13, no. 2, pp. 228–237, 2004.
  • Z. Zhang and R. S. Blum, "A categorization of multiscale-decomposition-based image fusion schemes with a performance study for a digital camera application," Proceedings of the IEEE, vol. 87, no. 8, pp. 1315–1326, 1999.
  • S. Udomhunsakul and P. Wongsita, "Feature extraction in medical MRI images," in Proceeding of 2004 IEEE Conference on Cybernetics and
  • L. Hui Intelligent Systems (IEEE, 2004), Vol. 1, pp. 340–344. . , "Multi-sensor imager registration and fusion," Ph. D. dissertation (University of California, 1993).
  • E. Canga, "Image fusion," M. S. thesis (University of Bath, 2002).
  • F. E. Ali, I. M. El-Dokany, A. A. Saad, and F. E. Abd El-Samie, "Curvelet fusion of MR and CT images," Prog. Electromagn. Res. C 3, 215–224 (2008).
  • F. E. Ali, I. M. El-Dokany, A. A. Saad, and F. E. Abd El-Samie, "High resolution image acquisition from magnetic resonance and computed tomography scans using the curvelet fusion algorithm with inverse interpolation techniques" applied optics, Vol. 49, No. 1, pp. 114-125, 1 January 2010.
  • E. A. Soltan, S. El-Rabaie, N. EL-Fishawy, F. E. Abd El-samie, S. E. Elkhamy, "Wavelet-Based Image Interpolation with A Least-squares Algorithm", computer engineering conference (ICENCO), 10. 1109/ICENCO. 2010. 5720435, 2010, pp. 105-106.
  • Y. Wang and B. Lohmann, "Multisensor image fusion: concept, method and applications," Tech. Rep. , Institute of Automatic Technology, University of Bremen, Bremen, Germany, 2000.
  • J. L. Starck, E. Candes, and D. L. Donoho, "The curvelet transform for image denoising," IEEE Trans. Image Process. 11, 670–684 (2002).
  • G. Y. Chen and B. Kegl, "Image denoising with complex ridgelets," Pattern Recogn. 578–585 (2007).
  • J. -L. Starck, P. Abrial, Y. Moudden, and M. K. Nguyen, "Wavelets, ridgelets and curvelets on the sphere," Astron. Astrophys. 446, 1191–1204 (2006).
  • F. E. Ali, I. M. El-Dokany, A. A. Saad, and F. E. Abd El-Samie, "Curvelet fusion of MR and CT images," Prog. Electromagn. Res. C 3, 215–224 (2008).
  • C. Chao and J. Tao, "Study of image magnification based on curvelet transformation," in ISPRS Congress Beijing 2008, Proceedings of Commission II, The International Archives of the Photogrammetry, Remote Sensing, and Spatial Information Sciences (International Society for Photogrammetry and Remote Sensing, 2008), Vol. 37-B2, pp. 289–292.
  • J. Nunez, X. Otazu, O. Fors, A. Prades, V. Pala, and R. Arbiol, "Multi-resolution-based image fusion with additive wavelet decomposition," IEEE Trans. Geosci. Remote Sens. 37, 1204–1211 (1999).
  • B. B. Saevarsson, J. R. Sveinsson, and J. A. Benediktsson, "Combined wavelet and curvelet denoising of SAR images," in IEEE International Geoscience and Remote Sensing Symposium (IGARSS) (IEEE, 2004), Vol. 6, pp. 4235–4238.
  • S. E. El-Khamy, M. M. Hadhoud, M. I. Dessouky, B. M. Salam, and F. E. Abd El-Samie, "Adaptive Least-squares Acquisition of HR Images"International Journal of Information Acquisition (IJIA) , March 2005.
  • T. Kratochvil and P. Simicek, "Utilization of MATLAB for picture quality evaluation" ( Institute of Radio Electronics, Brno University of Technology, 2005).