Pendekatan Numerik pada model Isotropic dan Anisotropic diffusion dalam Pengolahan Citra
DOI:
https://doi.org/10.21108/INDOJC.2016.1.2.102Abstract
Tujuan dari penulisan ini adalah untuk mempelajari model anisotropic diffusion dan persamaan panas isotropic diffusion pada pengolahan citra. Model anisotropic diffusion disebut sebagai persamaan Perona-Malik yang memiliki berbagai fungsi fluks dalam persamaannya. Untuk menghampiri solusi persamaan anisotropic dan isotropic diffusion secara numerik, metode beda hingga digunakan dalam mendiskritkan domain spasial dan waktu dari model yang digunakan. Hasil numerik menggunakan model anisotropic diffusion menghasilkan gambar yang lebih tajam dibandingkan menggunakan model persamaan panas, dalam hal untuk mempertahankan garis tepi pada citra. Citra yang digunakan dalam penelitian ini adalah citra MRI dan Lena. Hasil pengukuran menggunakan profil histogram dan Peak Signal to Noise Ratio (PSNR) untuk melihat perbedaan masing-masing hasil simualsi numerik. PSNR pada citra MRI dengan menggunakan model isotropic dan anisotropic diffusion berturut-turut didapatkan sebesar 6.1745 dB, dan 6.1833 dB.
Downloads
References
Afzal Ahmed, Masahiko Nagai, Chen Tianen, and Ryosuke SHIBASAKI. Uav based monitoring system and object detection
technique development for a disaster area. International Archives of Photogrammetry, Remote Sensing and Spatial information
Sciences, 37:373–377, 2008.
Gilles Aubert and Pierre Kornprobst. Mathematical problems in image processing: partial differential equations and the
calculus of variations, volume 147. Springer Science & Business Media, 2006.
Jian Bai and Xiang-Chu Feng. Fractional-order anisotropic diffusion for image denoising. IEEE transactions on image
processing, 16(10):2492–2502, 2007.
Nicolas Crouseilles, Matthieu Kuhn, and Guillaume Latu. Comparison of numerical solvers for anisotropic diffusion equations
arising in plasma physics. Journal of Scientific Computing, 65(3):1091–1128, 2015.
Bekir Dizdaroglu. Solving heat flow equation for image regularization. 2010.
Carsten Ebmeyer and Jens Vogelgesang. Finite element approximation of a forward and backward anisotropic diffusion model
in image denoising and form generalization. Numerical Methods for Partial Differential Equations, 24(2):646–662, 2008.
Patrick Guidotti. Anisotropic diffusions of image processing from perona-malik on. Advanced Studies in Pure Mathematics,
:20XX, 2015.
Carlos Lopez-Molina, Mikel Galar, Humberto Bustince, and Bernard De Baets. On the impact of anisotropic diffusion on
edge detection. Pattern Recognition, 47(1):270–281, 2014.
David Mumford and Jayant Shah. Optimal approximations by piecewise smooth functions and associated variational problems.
Communications on pure and applied mathematics, 42(5):577–685, 1989.
U Niethammer, S Rothmund, MR James, J Travelletti, and M Joswig. Uav-based remote sensing of landslides. International
Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, 38(Part 5):496–501, 2010.
Hardik Pandit and DM Shah. Application of digital image processing and analysis in healthcare based on medical palmistry.
Int J Comput Appl, 2011.
Pietro Perona and Jitendra Malik. Scale-space and edge detection using anisotropic diffusion. Pattern Analysis and Machine
Intelligence, IEEE Transactions on, 12(7):629–639, 1990.
Vid Peterman. Landslide activity monitoring with the help of unmanned aerial vehicle. The International Archives of
Photogrammetry, Remote Sensing and Spatial Information Sciences, 40(1):215, 2015.
Yoniar Hufan Ramadhani, Rokhmatulloh Rokhmatulloh, Aris Poniman, and Rahmatia Susanti. Pemetaan pulau kecil dengan
pendekatan berbasis objek menggunakan data unmanned aerial vehicle (uav). MAJALAH ILMIAH GLOBE, 17(2), 2015.
L. Burden Richard and J. Faires Douglas. Numerical Analysis 9th ed. Brooks/Cole, Cengage Learning, 2011.
Catur Aries Rokhmana. The potential of uav-based remote sensing for supporting precision agriculture in indonesia. Procedia
Environmental Sciences, 24:245–253, 2015.
Esther SalamÃ, Cristina Barrado, and Enric Pastor. Uav flight experiments applied to the remote sensing of vegetated areas.
Remote Sensing, 6(11):11051–11081, 2014.
R Shofiyati. Teknologi pesawat tanpa awak untuk pemetaan dan pemantauan tanaman dan lahan pertanian. Informatika
Pertanian, 20(2):58–64, 2011.
Iryanto et.al.
Pendekatan Numerik pada model Isotropic... 94
Kishore C Swain, HP W Jayasuriya, and VM Salokhe. Low-altitude remote sensing with unmanned radio-controlled helicopter
platforms: A potential substitution to satellite-based systems for precision agriculture adoption under farming conditions in
developing countries. Agricultural Engineering International: CIGR Journal, 2007.
Xiaoming Wan. Research on the novel method of edge detection based on the isotropic diffusion model and total variation
model. Cybernetics and Information Technologies, 16(5):97–108, 2016.
Guo W Wei. Generalized perona-malik equation for image restoration. Signal Processing Letters, IEEE, 6(7):165–167, 1999.
Joachim Weickert. A review of nonlinear diffusion filtering. In Scale-space theory in computer vision, pages 1–28. Springer,
Joachim Weickert. Anisotropic diffusion in image processing, volume 1. Teubner Stuttgart, 1998.
Maciek Wielgus. Perona-malik equation and its numerical properties. arXiv preprint arXiv:1412.6291, 2014.
Wenqian Zang, Jiayuan Lin, Yangchun Wang, and Heping Tao. Investigating small-scale water pollution with uav remote
sensing technology. In World Automation Congress (WAC), 2012, pages 1–4. IEEE, 2012.
Downloads
Published
How to Cite
Issue
Section
License
- Manuscript submitted to IndoJC has to be an original work of the author(s), contains no element of plagiarism, and has never been published or is not being considered for publication in other journals.Â
- Copyright on any article is retained by the author(s). Regarding copyright transfers please see below.
- Authors grant IndoJC a license to publish the article and identify itself as the original publisher.
- Authors grant IndoJC commercial rights to produce hardcopy volumes of the journal for sale to libraries and individuals.
- Authors grant any third party the right to use the article freely as long as its original authors and citation details are identified.
- The article and any associated published material is distributed under the Creative Commons Attribution 4.0License
