Araştırma Makalesi

A Phase Field Model for Image Decomposition and Smoothing

Cilt: 14 16 Eylül 2026
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A Phase Field Model for Image Decomposition and Smoothing

Öz

In this paper we propose a new phase field model for image decomposition and smoothing based on a modification of the Cahn-Hilliard equation. The Cahn-Hilliard equation was first formulated as the minimization of a free energy that reflects the topological events, phase coarsening and separation processes. We replaced the energy density in this equation with the derivative of a new convex energy which allows only the decomposition of phase values into multiple layers. This system, although based on a variational formulation does not require the solution of an optimization problem and its main advantage is the flexibility it provides in designing decomposition algorithms. Within this framework, we developed several algorithms based on order statistics for image smoothing and decomposition.

Anahtar Kelimeler

Kaynakça

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  3. [3] Comaniciu, D. Image smoothing via l0 gradient minimization. IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 24, pp. 603–619, August 2002.
  4. [4] Farbman, Z., Fattal, R., and Lischinski, D. Edge-preserving decompositions for multi-scale tone and detail manipulation. ACM Transactions on Graphics (TOG), Proceedings of ACM SIGGRAPH, vol. 27, August 2008.
  5. [5] Subr, K., Soler, C. and Durand, F. Edge-preserving multiscale image decomposition based on local extrema. ACM Transactions on Graphics (TOG), Proceedings of ACM SIGGRAPH, vol. 28, december 2009.
  6. [6] Karacan, L., Erdem, E., and Erdem, A. Structure-preserving image smoothing via region covariances. ACM Transactions on Graphics (TOG),Proceedings of ACM SIGGRAPH, vol. 32, November 2013.
  7. [7] Xu, L., Lu, C., Xu, Y. and Jia, J. Image smoothing via l0 gradient minimization. ACM Transactions on Graphics (TOG), Proceedings of ACM SIGGRAPH, vol. 30, december 2011.
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Ayrıntılar

Birincil Dil

İngilizce

Konular

Bilgisayar Yazılımı

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

16 Eylül 2026

Gönderilme Tarihi

30 Mart 2025

Kabul Tarihi

1 Mayıs 2026

Yayımlandığı Sayı

Yıl 2026 Cilt: 14

Kaynak Göster

APA
Ruyam, A. (2026). A Phase Field Model for Image Decomposition and Smoothing. Balkan Journal of Electrical and Computer Engineering, 14. https://doi.org/10.17694/bajece.1668312
AMA
1.Ruyam A. A Phase Field Model for Image Decomposition and Smoothing. Balkan Journal of Electrical and Computer Engineering. 2026;14. doi:10.17694/bajece.1668312
Chicago
Ruyam, Acar. 2026. “A Phase Field Model for Image Decomposition and Smoothing”. Balkan Journal of Electrical and Computer Engineering 14 (Eylül). https://doi.org/10.17694/bajece.1668312.
EndNote
Ruyam A (01 Eylül 2026) A Phase Field Model for Image Decomposition and Smoothing. Balkan Journal of Electrical and Computer Engineering 14
IEEE
[1]A. Ruyam, “A Phase Field Model for Image Decomposition and Smoothing”, Balkan Journal of Electrical and Computer Engineering, c. 14, Eyl. 2026, doi: 10.17694/bajece.1668312.
ISNAD
Ruyam, Acar. “A Phase Field Model for Image Decomposition and Smoothing”. Balkan Journal of Electrical and Computer Engineering 14 (01 Eylül 2026). https://doi.org/10.17694/bajece.1668312.
JAMA
1.Ruyam A. A Phase Field Model for Image Decomposition and Smoothing. Balkan Journal of Electrical and Computer Engineering. 2026;14. doi:10.17694/bajece.1668312.
MLA
Ruyam, Acar. “A Phase Field Model for Image Decomposition and Smoothing”. Balkan Journal of Electrical and Computer Engineering, c. 14, Eylül 2026, doi:10.17694/bajece.1668312.
Vancouver
1.Acar Ruyam. A Phase Field Model for Image Decomposition and Smoothing. Balkan Journal of Electrical and Computer Engineering. 01 Eylül 2026;14. doi:10.17694/bajece.1668312

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