آمار

تعداد نشریات31
تعداد شماره‌ها461
تعداد مقالات4,056
تعداد مشاهده مقاله6,805,142
تعداد دریافت فایل اصل مقاله4,549,470
Peyghan, Esmaeil, Sharahi, Esa. (1401). Gray scale image processing with Riemannian geometry. سامانه مدیریت نشریات علمی, 3(1), 66-71. doi: 10.22098/jfga.2022.9738.1057
Esmaeil Peyghan; Esa Sharahi. "Gray scale image processing with Riemannian geometry". سامانه مدیریت نشریات علمی, 3, 1, 1401, 66-71. doi: 10.22098/jfga.2022.9738.1057
Peyghan, Esmaeil, Sharahi, Esa. (1401). 'Gray scale image processing with Riemannian geometry', سامانه مدیریت نشریات علمی, 3(1), pp. 66-71. doi: 10.22098/jfga.2022.9738.1057
Peyghan, Esmaeil, Sharahi, Esa. Gray scale image processing with Riemannian geometry. سامانه مدیریت نشریات علمی, 1401; 3(1): 66-71. doi: 10.22098/jfga.2022.9738.1057

Gray scale image processing with Riemannian geometry

Journal of Finsler Geometry and its Applications
مقاله 6، دوره 3، شماره 1، مهر 2022، صفحه 66-71    اصل مقاله (187.45 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.9738.1057
نویسندگان
Esmaeil Peyghan* 1؛ Esa Sharahi2
1Department of Mathematics, Faculty of Science, Arak university, Arak, Iran
2Department of Mathematics, Faculty of Science, Arak University, Arak, Iran.
چکیده
In this paper, we use the mean curvature flow PDE and geodesic ODE to smooth and trace evolving curves as boundaries of minimal surfaces for a gray-scale image to capture their boundaries.
کلیدواژه‌ها
geodesic؛ image processing؛ minimal surface؛ mean curvature؛ Riemannian metric
مراجع
  • 1. T. Batard, C. Saint-Jean, M. Berthier, A Metric Approach to nD Images Edge Detection
    with Clifford Algebras, J. Math. Imaging Vis. 33(2009), 296-312.
  • 2. F. Benmansour, L. D. Cohen, Fast Object Segmentation by Growing Minimal Paths from
    a Single Point on 2D or 3D Images, J. Math. Imaging Vis. 33(2009), 209-221.
  • 3. P. Bose, A. Maheshwari, C. Shu, S. Wuhrer, A Survey of Geodesic Paths on 3D Surfaces,
    Computational Geometry, 44(2011), 486-498.
  • 4. A. Cumani, Edge Detection in Multispectral Images, Graphical Models and Image Processing, 53, 1991, 40-51.
  • 5. A. Gooya, T. Dohi, I. Sakuma, H. Liao, R-PLUS: A Riemannian Anisotropic Edge
    Detection Scheme for Vascular Segmentation, Medical Image Computing and ComputerAssisted Intervention (MICCAI, 2008), 262-269.
  • 6. R. Kimmel, N. Sochen, R. Malladi, From high energy physics to low level vision, ScaleSpace Theory in Computer Vision, 1997.
  • 7. U. Kothe, Edge and Junction Detection with an Improved Structure Tensor, Pattern
    Recognition Proceeding, 2003, 25-32.
  • 8. D. Marr, Vision, MIT Press, 2010.
  • 9. E, Peyghan, E. Sharahi, A. Baghban, Adams-Moulton Method approach to geodesic paths
    on 2D surfaces, MACO. 1(2020), 81-93.
  • 10. G. Peyr, M. Pchaud, R. Keriven, L. D. Cohen, Geodesic Methods in Computer Vision and
    Graphics, Foundations and Trends in Computer Graphics and Vision, Now Publishers,
    5, 2010, 197-397.
  • 11. D. Phillips, Image processing in C, Prentice Hall, 1994.
  • 12. M. M. Postnikov, Geometry VI: Riemannian Geometry, Springer-Verlag, 2001.
  • 13. G. Sapiro, Geometric Partial Differential Equations and Image Analysis, Cambridge
    University Press, 2006.
  • 14. C. Scheffer, J. Vahrenhold, Approximating geodesic distances on 2-manifolds in R2
    , Computational Geometry. 47(2014), 125-140.
  • 15. Z. Zhang, E. Klassen, A. Srivastava, P. Turaga, R. Chellappa Blurring-Invariant Riemannian Metrics for Comparing Signals and Images, IEEE International Conference on
    Computer Vision, 2011.
  • 16. D. Zosso, X, Bresson, JP. Thiran, Geodesic active fields-a geometric framework for image
    registration, IEEE Trans Image Process, 20(2011), 1300-1312
آمار
تعداد مشاهده مقاله: 364
تعداد دریافت فایل اصل مقاله: 476


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب