УДК: 621.397.3

Noise suppression in the task of distinguishing the contours and segmentation of tomographic images

Marusina, M.Y., Volgareva, A.P., Sizikov, V.S.

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Марусина М.Я., Волгарева А.П., Сизиков В.С. Подавление шумов в задаче выделения контуров и сегментации томографических изображений // Оптический журнал. 2015. Т. 82. № 10. С. 37–42.

Marusina M.Ya., Volgareva A.P., Sizikov V.S. Noise suppression in the task of distinguishing the contours and segmentation of tomographic images [in Russian] // Opticheskii Zhurnal. 2015. V. 82. № 10. P. 37–42.

For citation (Journal of Optical Technology):

M. Ya. Marusina, A. P. Volgareva, and V. S. Sizikov, "Noise suppression in the task of distinguishing the contours and segmentation of tomographic images," Journal of Optical Technology. 82(10), 673-677 (2015). https://doi.org/10.1364/JOT.82.000673

Abstract:

This article discusses the question of how noise affects the discrimination of the boundaries (contours) between the regions of a tomographic image and, as a consequence, the segmentation of the image. The discrimination of boundaries is associated with differentiation of the image, while the differentiation of noisy functions is an ill-posed problem (unstable with respect to noise on the image). It is proposed to suppress noise not only by well-known filtering methods but also by means of smoothing (approximating) splines. The numerical examples given here show that the boundaries are discriminated more accurately as a result of using splines.

Keywords:

tomographic images, discrimination of boundaries, numerical differentiation, noise filtering, spline approximation

Acknowledgements:

This work was carried out with the support of the Russian Foundation for Basic Research (Grant No. 13-08-00442).

OCIS codes: 100.0100

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