Edited by Andrew Blake, Pushmeet Kohli and Carsten Rother. 3. Kaynig V., Fuchs T., Buhmann J.M. Neuron Geometry Extraction by Perceptual Group-ing in ssTEM Images. CVPR10(2902-2909).


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6

Ɉ ȼɕɋɈɄɈɉɊɈɂɁȼɈȾɂɌȿɅ
ɖɇɕɏ ȼɕɑɂɋɅȿɇɂəɏ ȼ Ɂ
ȺȾȺɑȿ
ɌɊȿɏɆȿɊɇɈɃ ɊȿɄɈɇɋɌɊɍ
Ʉɐɂɂ ɇȿɃɊɈɇɈȼ ɂ ȺɋɌɊ
ɈɐɂɌɈȼ

ȿ.ɉ. Ⱥɝɚɩɨɜɚ

ɇɢɠɟɝɨɪɨɞɫɤɢɣ ɝɨɫɭɧɢɜɟɪɫɢɬɟɬ ɢɦ.
ɇ.ɂ. Ʌɨɛɚɱɟɜɫɤɨɝɨ

E
-
mail
:
agapova
.
elena
.
p
@
.
com


ȼ ɧɚɭɱɧɨɣ ɜɢɡɭɚɥɢɡɚɰɢɢ ɱɚɫɬɨ ɧɟɨɛɯɨɞɢɦɨ ɪɚɛɨɬɚɬɶ ɫɨ ɫɤɚɥɹɪɧɵɦɢ ɩɨɥɹɦɢ ɞɚ
ɧ-
ɧɵɯ ɡɚɞɚɧɧɵɦɢ ɜ ɬɪɟɯɦɟɪɧɨɦ ɩɪɨɫɬɪɚɧɫɬɜɟ. Ⱦɚɧɧɵɟ ɦɨɝɭɬ ɛɵɬɶ ɩɨɥɭɱɟɧɵ ɪɚɡɥɢɱɧɵɦɢ
ɫɩɨɫɨɛɚɦɢ: ɫɤɚɧɢɪɨɜɚɧɢɟ
ɦ

ɫ ɩɨɦɨɳɶɸ ɦɚ
ɝɧɢɬɧɨɝɨ ɪɟɡɨ
ɧɚɧɫɚ ɤɨɦɩɶɸɬɟɪɧɨɣ ɬɨɦɨɝɪ
ɚ-
ɮɢɟɣ
ɱɢɫɥɟɧɧɵ
ɦ

ɷɤɫɩɟɪɢɦɟɧɬ
ɨɦ
.
ɇɚɩɪɢɦɟɪ ɞɚɧɧɵɟ ɫ ɷɥɟɤɬɪɨɧɧɨɝɨ ɦɢɤɪɨɫɤɨɩɚ ɩɪɟ
ɞ-
ɫɬɚɜɥɹɸɬ ɫɨɛɨɣ ɫɟɪɢɸ ɫɧɢɦɤɨɜ ɩɨɫɥɨɣɧɨɣ ɜɧɭɬɪɟɧɧɟɣ ɫɬɪɭɤɬɭɪɵ ɨɛɴɟɤɬɚ

ɬ.ɟ. ɬɪɟ
ɯ-
ɦɟɪɧɨɟ ɫɤɚɥɹɪɧɨɟ ɩɨɥɟ. Ɉɛɴɟɦ ɢɫɯɨɞɧɵɯ ɞɚɧɧɵɯ ɜ ɪɚɡɥɢɱɧɵɯ ɦɟɞɢɰɢɧɫɤɢɯ ɡɚɞɚ
ɡɧɚɱɢɬɟɥɟɧ. ɇɚɩɪɢɦɟɪ ɨɛɴɟɦ ɨɞɧɨɝɨ ɢɫɫɥɟɞɨɜɚɧɢɹ ɜ ɦɟɞɢɰɢɧɫɤɨɣ ɬɨɦɨɝɪɚɮɢɢ ɨɛɵɱɧɨ
ɪɚɜɟɧ 0.1
-
1 Ƚɛ >[email protected] Ɋɚɫɫɦɨɬɪɢɦ ɡɚɞɚɱɭ
ɬɪɟɯɦɟɪɧɨɣ ɪɟɤɨɧɫɬɪɭɤɰɢɢ ɢ ɱɢɫɥɟɧɧɨɝɨ ɦɨɞ
ɟ-
ɥɢɪɨɜɚɧɢɹ ɧɟɣɪɨɧɨɜ ɢ ɚɫɬɪɨɰɢɬɨɜ ɩɨ ɞɚɧɧɵɦ ɦɢɤɪɨɫɤɨɩɢɢ. Ɋɚɫɫɦɨɬɪɢɦ ɷɬɭ ɡɚɞɚɱɭ ɧɚ
ɩɪɢɦɟɪɟ ɪɟɤɨ
ɞɚɧɧɵɟ ɩɪɟɞɫɬɚɜɥɹɸɬ ɫɨɛɨɣ ɫɤɚɧɢɪɨɜɚɧɧɵɟ ɢɡɨɛɪɚɠɟɧɢɹ ɫ ɪɚɡɪɟɲɟɧɢɟɦ 2560*2560 ɞɥɹ
ɤɚɠɞɨɝɨ ɫɥɨɹ (ɪɢɫ. 1 ɤɨɬɨɪɵɟ ɜ ɫɨɜɨɤɭɩɧɨɫɬɢ ɦɨɝɭɬ ɞɨɫɬɢɝɚɬɶ ɪɚɡɦɟɪɚ ɞɨ 12 Ɍɛ.


Ɋɢɫ
.

1
. ȼɯɨɞɧɵɟ ɞɚɧɧɵɟ:
ɤɨɪɚ ɝɨɥɨɜɧɨɝɨ ɦɨɡɝɚ ɦɵɲɢ ɫɥɟɜɚ ɫɥɨɣ ʋ 70 ɫɩɪɚɜɚ

±

ʋ

3929

ɚ-
ɛɨɬɤɚ ɜɯɨɞɧɵɯ ɢɡɨɛɪɚɠɟɧɢɣ. ȿɫɥɢ ɟɟ ɪɚɫɫɦɨɬɪɟɬɶ ɫɨ ɫɬɨɪɨɧɵ ɤɨɦɩɶɸɬɟɪɧɨɝɨ ɡɪɟɧɢɹ
ɬɨ ɪɚɫɩɨɡɧɚɬɶ ɨɛɴɟɤɬ ɧɚ ɢɡɨɛɪɚɠɟɧɢɢ ɧɚɣɬ
ɢ ɟɝɨ ɝɪɚɧɢɰɵ ɢ ɨɬɞɟɥɢɬɶ ɟɝɨ ɨɬ ɮɨɧɚ ɩɪɚ
ɤ-
ɬɢɱɟɫɤɢ ɧɟ ɩɪɟɞɫɬɚɜɥɹɟɬɫɹ ɜɨɡɦɨɠɧɵɦ ɢɡ
-
ɡ-
ɪɚɛɨɬɤɚ ɨɛɭɱɚɸɳɟɣɫɹ ɫɢɫɬɟɦɵ ɬɨɠɟ ɞɨɜɨɥɶɧɨ ɫɥɨɠɧɚɹ ɢ ɟɦɤɚɹ ɡɚɞɚɱɚ ɩɨɷɬɨɦɭ ɩɪɟɞɥ
ɚ-
ɝɚɟɬɫɹ ɢɧɬɟɪɚɤɬɢɜɧɨɟ ɨɬɞɟɥɟɧɢɟ ɜɧɭɬɪɟɧɧɟɣ ɱɚɫɬɢ ɤɥɟɬɤ
ɢ ɨɬ ɟɟ ɜɧɟɲɧɟɣ

ɱɚɫɬɢ
. Ɍɨ ɟɫɬɶ
ɩɨɥɶɡɨɜɚɬɟɥɶ ɞɨɥɠɟɧ ɨɬɦɟɬɢɬɶ ɤɚɤɢɟ ɨɛɥɚɫɬɢ ɨɬɧɨɫɹɬɫɹ ɤ ɜɧɭɬɪɟɧɧɟɣ ɱɚɫɬɢ ɤɥɟɬɤɢ ɚ
ɚɥɝɨɪɢɬɦɵ ɩɨɡɜɨɥɹɸɳɢɟ ɪɟɲɚɬɶ ɡɚɞɚɱɭ ɨɛɪɚɛɨɬɤɢ ɢ ɯɪɚɧɟɧɢɹ ɫɜɟɪ
ɯɛɨɥɶɲɢɯ ɧɚɛɨɪɨɜ
ɞɚɧɧɵɯ. Ɉɱɟɜɢɞɧɨ ɱɬɨ ɞɥɹ ɪɟɲɟɧɢɹ ɧɭɠɧɵ ɜɵɫɨɤɨɩɪɨɢɡɜɨɞɢɬɟɥɶɧɵɟ ɜɵɱɢɫɥɟɧɢɹ ɱɬ
ɨ-

7

ɛɵ ɞɨɛɢɬɶɫɹ ɚɞɟɤɜɚɬɧɵɯ ɡɚɬɪɚɬ ɩɨ ɜɪɟɦɟɧɢ ɧɚ ɪɟɲɟɧɢɟ ɩɨɞɡɚɞɚɱɢ. ɇɚɩɪɢɦɟɪ ɧɚɣɞɹ
ɨɞɧɭ ɤɥɟɬɤɭ ɧɟɣɪɨɧɚ ɧɚ ɨɞɧɨɦ ɫɥɨɟ ɬɪɟɛɭɟɬɫɹ ɨɩɪɟɞɟɥɢɬɶ ɟɟ ɩɨɥɨɠɟɧɢɟ ɧɚ ɜɫɟɯ
ɨɫɬɚɥ
ɶɧɵɯ ɫɥɨɹɯ ɬɨ ɟɫɬɶ ɨɞɧɨɜɪɟɦɟɧɧɨ ɪɚɛɨɬɚɬɶ ɫɨ ɜɫɟɦ ɦɧɨɠɟɫɬɜɨɦ ɫɥɨɟɜ. Ɂɚɞɚɱɭ ɨ
ɛ-
ɪɚɛɨɬɤɢ ɢ ɯɪɚɧɟɧɢɹ ɜɯɨɞɧɵɯ ɞɚɧɧɵɯ ɟɫɬɟɫɬɜɟɧɧɨ ɪɟɲɚɬɶ ɤɚɤ ɪɚɫɩɪɟɞɟɥɟɧɧɭɸ ɫ ɢɫɩɨɥ
ɶ-
ɡɨɜɚɧɢɟɦ ɝɪɚɮɢɱɟɫɤɢɯ ɩɪɨɰɟɫɫɨɪɨɜ.

Ɋɟɲɚɹ ɡɚɞɚɱɭ ɩɨɢɫɤɚ ɤɨɧɬɭɪɨɜ ɤɥɟɬɨɤ ɧɟɣɪɨɧɨɜ ɢ ɚɫɬɪɨɰɢɬɨɜ ɧɚ ɬɟɤɫ
ɬɭɪɚɯ ɜɵɛ
ɢ-
ɪɚɟ
ɬɫɹ ɨɞɢɧ ɢɡ ɫɥɨɟɜ ɤɨɬɨɪɵɣ ɦɚɪɤɢ
ɪɭɟɬɫɹ ɜɪɭɱɧɭɸ.
ɂɧɬɟɪɚɤɬɢɜɧɨ ɤɢɫɬɶɸ ɩɨɥɶɡɨɜ
ɚ-
ɬɟɥɶ ɦɚɪɤɢɪɭɟɬ ɜɧɭɬɪɟɧɧɨɫɬɶ ɤɥɟɬɤɢ ɢ ɞɪɭɝɨɣ ɤɢɫɬɶɸ ɜɧɟɲɧɸɸ ɫɬɨɪɨɧɭ ɡɚ ɤɥɟɬɤɨɣ
.

ɇɚ
ɨɫɧɨɜɟ ɷɬɨɣ ɢɧɮɨɪɦɚɰɢɢ ɩɪɨɢɫɯɨɞɢɬ ɫɟɝɦɟɧɬɚɰɢɹ ɞɚɧɧɨɝɨ ɫɥɨɹ ɧɚ ɨɛɴɟɤɬ ɢ ɟɝɨ ɝɪɚɧ
ɢ-
ɰɵ.
Ɋɟɲɚɹ ɷɬɭ ɡɚɞɚɱɭ ɩɟɪɟɣɞɟɦ ɤ ɷɧɟɪɝɢɢ ɫɢɫɬɟɦɵ ɢ ɛɭɞɟɦ ɟɟ ɦɢɧɢɦɢɡɢɪɨɜɚɬɶ:


E
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ݎ݃݉݅݊

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ɪɟɲɟɧɢɟ
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ɝɞɟ

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ɛɢɧɚɪɧɨɟ ɢɡɨɛɪɚɠɟɧɢɟ

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ɜɯɨɞɧɨɟ ɢɡɨɛɪɚɠɟɧɢɟ

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[2].


Ɋɟɲɟɧɢɟ
ɡɚɞɚɱɢ ɹɜɥɹɟɬɫɹ ɪɟɫɭɪɫɨɟɦɤɢɦ ɬ.ɤ. ɬɪɟɛɭɟɬ ɩɟɪɟɛɨɪɚ ɛɢɧɚɪɧɵɯ ɢɡɨɛɪɚɠ
ɟ-
ɧɢɣ ɢ ɩɨɷɬɨɦɭ ɧɟɨɛɯɨɞɢɦɨ ɩɨɥɶɡɨɜɚɬɶɫɹ ɪɚɫɩɪɟɞɟɥɟɧɧɵɦɢ ɜɵɱɢɫɥɟɧɢɹɦɢ. ɉɪɢɦɟɪ ɪ
ɟ-
ɲɟɧɧɨɣ ɡɚɞɚɱɢ
ɩɪɢɜɟɞɟɧ ɧɚ ɪɢɫ.2 >
].


Ɋɢɫ
.

2. ɋɥɟɜɚ ɢɫɯɨɞɧɨɟ ɢɡɨɛɪɚɠɟɧɢɟ ɫɩɪɚɜɚ ɫɟɝɦɟɧɬɢɪɨɜɚɧɧɵɣ ɨɛɴɟɤɬ

ɋɥɟɞɭɸɳɢɣ ɡɚ ɜɵɞɟɥɟɧɢɟɦ ɤɨɧɬɭɪɨɜ ɧɚ ɨɞɧɨɦ ɫɥɨɟ ɷɬɚɩ
±

ɩɪɢɦɟɧɟɧɢɟ ɦɟɬɨɞɚ ɚ
ɤ-
ɬɢɜɧɨɝɨ ɤɨɧɬɭɪɚ (ɡɦɟɣɤɢ ɩɨ ɜɫɟɦ ɫɥɨɹɦ. Ⱥɥɝɨɪɢɬɦ ɦɨɠɧɨ ɚɞɚɩɬɢɪɨɜɚɬɶ ɞɥɹ ɝɪɚɮɢɱ
ɟ-
ɫɤɨɝɨ
ɩɪɨɰɟɫɫɨɪɚ ɤɨɬɨɪɵɣ ɩɨɡɜɨɥɢɬ ɭɜɟɥɢɱɢɬɶ ɩɪɨɢɡɜɨɞɢɬɟɥɶɧɨɫɬɶ ɞɨ 40 ɪɚɡ ɩɨ ɫɪɚ
ɜ-
ɧɟɧɢɸ ɫ ɪɟɚɥɢɡɚɰɢɟɣ ɧɚ
CPU

>[email protected] ȼɵɞɟɥɟɧɢɟ ɤɨɧɬɭɪɨɜ ɧɚ ɤɚɠɞɨɦ ɫɥɨɟ ɩɨɡɜɨɥɢɬ ɧɚɦ
ɫɜɹɡɚɬɶ ɢɯ ɜ ɬɪɟɯɦɟɪɧɨɦ ɩɪɨɫɬɪɚɧɫɬɜɟ.

ɂɫɩɨɥɶɡɭɹ ɞɚɧɧɵɟ ɨ ɤɨɧɬɭɪɚɯ ɤɨɬɨɪɵɟ ɩɪɟɞɫɬɚɜɥɹɸɬ ɫɨɛɨɣ ɬɪɟɯɦɟɪɧ
ɭɸ ɫɤɚɥɹ
ɪ-
ɧɭɸ ɦɚɬɪɢɰɭ ɜɢɡɭɚɥɢɡɢɪɭɟɦ ɦɨɞɟɥɶ ɧɟɣɪɨɧɨɜ ɢ ɚɫɬɪɨɰɢɬɨɜ. ɗɬɨ ɦɨɠɧɨ ɫɞɟɥɚɬɶ
ɧɚɩɪɢɦɟɪ ɢɫɩɨɥɶɡɭɹ ɬɪɚɫɫɢɪɨɜɤɭ ɥɭɱɟɣ ɧɚ
GPU
ɤɚɤ ɜ >[email protected] ɋɥɟɞɭɸɳɢɦ ɲɚɝɨɦ ɩɨɫɥɟ
ɜɢɡɭɚɥɢɡɚɰɢɢ ɹɜɥɹɟɬɫɹ ɱɢɫɥɟɧɧɨɟ ɦɨɞɟɥɢɪɨɜɚɧɢɟ ɜ ɪɟɡɭɥɶɬɚɬɟ ɤɨɬɨɪɨɝɨ ɦɨɠɧɨ ɩɨɥ
ɭ-
ɱɚɬɶ ɪɚɡɥɢɱɧɵ
ɟ ɦɟɬɪɢɱɟɫɤɢɟ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɚɫɬɪɨɰɢɬɨɜ ɢ ɧɟɣɪɨɧɨɜ. Ɂɚɞɚɱɚ ɫɥɟɞɭɸɳ
ɟ-
ɝɨ ɷɬɚɩɚ
±

ɨɬɞɟɥɟɧɢɟ ɤɥɟɬɨɤ ɧɟɣɪɨɧɨɜ ɞɪɭɝ ɨɬ ɞɪɭɝɚ ɢ ɭɫɬɚɧɨɜɥɟɧɢɟ ɫɜɹɡɟɣ ɦɟɠɞɭ ɧɢɦɢ.

ɂɬɚɤ
ɡɚɞɚɱɚ
ɬɪɟɯɦɟɪɧɨɣ ɪɟɤɨɧɫɬɪɭɤɰɢɢ ɢ ɱɢɫɥɟɧɧɨɝɨ ɦɨɞɟɥɢɪɨɜɚɧɢɹ ɧɟɣɪɨɧɨɜ ɢ
ɚɫɬɪɨɰɢɬɨɜ ɩɨ ɞɚɧɧɵɦ ɦɢɤɪɨɫɤ
ɨɩɢɢ ɹɜɥɹɟɬɫɹ ɚɤɬɭɚɥɶɧɨɣ ɜ ɩɟɪɜɭɸ ɨɱɟɪɟɞɶ ɞɥɹ ɪɟɲ
ɟ-
ɧɢɹ ɡɚɞɚɱ ɛɢɨɥɨɝɢɢ ɢ ɦɟɞɢɰɢɧɵ. Ɉɞɧɚɤɨ ɢɡ ɜɫɟɝɨ ɜɵɲɟɫɤɚɡɚɧɧɨɝɨ ɜɢɞɧɨ ɱɬɨ ɷɬɨ ɫɥɨ
ɠ-

8

ɧɚɹ ɡɚɞɚɱɚ ɤɨɬɨɪɚɹ ɬɪɟɛɭɟɬ ɛɨɥɶɲɢɯ ɜɵɱɢɫɥɢɬɟɥɶɧɵɯ ɪɟɫɭɪɫɨɜ ɩɨɷɬɨɦɭ ɟɟ ɧɟɨɛɯɨɞ
ɢ-
ɦɨ ɪɟɲɚɬɶ ɤɚɤ ɪɚɫɩɪɟɞɟɥɟɧɧɭɸ ɡɚɞɚɱɭ ɫ ɢɫɩɨɥɶ
ɡɨɜɚɧɢɟɦ ɪɟɫɭɪɫɨɜ ɝɪɚɮɢɱɟɫɤɢɯ ɩɪɨɰɟ
ɫ-
ɫɨɪɨɜ.


Ɋɚɛɨɬɚ ɜɵɩɨɥɧɟɧɚ ɩɪɢ ɩɨɞɞɟɪɠɤɟ Ɏɐɉ ©ɇɚɭɱɧɵɟ ɢ ɧɚɭɱɧɨ
-
ɩɟɞɚɝɨɝɢɱɟɫɤɢɟ ɤɚɞɪɵ
ɢɧɧɨɜɚɰɢɨɧɧɨɣ Ɋɨɫɫɢɢª ɝɨɫɤɨɧɬɪɚɤɬ ʋ 02.740.11.0 9.

Ʌɢɬɟɪɚɬɭɪɚ

1.

Ƚɚɜɪɢɥɨɜ

ɇ
.
ɂ. Ȼɟɥɨɤɚɦɟɧɫɤɚɹ

Ⱥ
.
Ⱥ.

ɋɬɟɪɟɨɜɢɡɭɚɥɢɡɚɰɢɹ ɧɚɭɱɧɵɯ ɢ
ɦɟɞɢɰɢɧɫɤɢɯ
ɨɛɴɟɦɧɵɯ ɞɚɧɧɵɯ ɬɪɚɫɫɢɪɨɜɤɨɣ ɥɭɱɟɣ ɜ ɪɟɚɥɶɧɨɦ ɜɪɟɦɟɧ. Ɇɚɬɟɪɢɚɥɵ ;; ɤɨɧɮ
ɟ-
ɪɟɧɰɢɢ *UDSKL&RQ'2010 20
-
24 ɫɟɧɬɹɛɪɹ ɋɚɧɤɬ
-
ɉɟɬɟɪɛɭɪɝ Ɋɨɫɫɢɹ. ɋ
.350
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352.

2.

Markov Random Fields for Vision and Image Processing (2011). Edited by Andrew
Blake, Pushmee
t Kohli and Carsten Rother.

3.

Kaynig

V
.
, Fuchs

T
.
, Buhmann

J
.
M.
p-
ing in ssTEM Images. CVPR
10(2902
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2909).

4.

ɀɢɪɧɨɜ

Ⱦ
.,
Ɍɭɪɥɚɩɨɜ

ȼ
.
Ɇɟɬɨɞ

ɚɤɬɢɜɧɨɝɨ

ɤɨɧɬɭɪɚ

ɜ

ɫɟɝɦɟɧɬɚɰɢɢ

ɦɟɞɢɰɢɧɫɤɢɯ

ɢɡɨɛɪɚɠɟɧɢɣ

±

[
http
://
graph
-
unn
.
ru
/
rus
/
projects
/
active
_
contour
.
html
].



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