Pendekatan Numerik pada model Isotropic dan Anisotropic diffusion dalam Pengolahan Citra

Iryanto ,, Friska Fristella, Putu Harry Gunawan

Abstract


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.


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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.

Crossref

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.

Crossref

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.

Crossref

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.

Crossref

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.

Crossref

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.

Crossref

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.

Crossref

Esther Salamí, Cristina Barrado, and Enric Pastor. Uav flight experiments applied to the remote sensing of vegetated areas.

Remote Sensing, 6(11):11051–11081, 2014.

Crossref

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.

Crossref

Guo W Wei. Generalized perona-malik equation for image restoration. Signal Processing Letters, IEEE, 6(7):165–167, 1999.

Crossref

Joachim Weickert. A review of nonlinear diffusion filtering. In Scale-space theory in computer vision, pages 1–28. Springer,

Crossref

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.




DOI: http://dx.doi.org/10.21108/INDOJC.2016.1.2.102

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