title: ÐÐ´Ð°Ð¿ÑÐ°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÑÐ¼Ð¾Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ BM4D Ðº ÐºÐ°ÑÑÐ°Ð¼ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÑ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐµÐ¹ Ð¸ ÐµÐ³Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Adaptation of noise reduction algorithm BM4D to the electron density maps and its program implementation
Creators: name: ÐÐµÑÐ¸Ðº, ÐÐµÐ¼ÑÑÐ½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: BM4D
BM3D
non-local means
ÐºÐ°ÑÑÑ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸
Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ ÑÑÐ¼Ð¾Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¾Ð±ÑÑÐ¼Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ
electron density maps
volumetric data denoise algorithms

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÐºÐ°ÑÑ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð², Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÑÑ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ¼ÐµÐ½ÑÑÐ¸ÑÑ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ Ð´ÐµÑÐµÐºÑÐ¾Ð² (ÑÑÐ¼Ð¾Ð²ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²), Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ñ Ð¿ÑÐ¸ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÑÐ¸Ñ ÐºÐ°ÑÑ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: - ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ ÐºÐ°ÑÑ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸. - ÐÐ±Ð·Ð¾Ñ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² ÑÑÐ¼Ð¾Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹, Ð¾Ð±Ð¾Ð±ÑÐµÐ½Ð¸Ðµ Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð´Ð»Ñ Ð¾Ð±ÑÑÐ¼Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. - Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÑÐ¼Ð¾Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ BM4D, Ð°Ð´Ð°Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð´Ð»Ñ ÑÐ°Ð±Ð¾ÑÑ Ñ ÐºÐ°ÑÑÐ°Ð¼Ð¸ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸, Ð´Ð»Ñ Ð¿Ð¾ÑÐ»ÐµÐ´ÑÑÑÐµÐ³Ð¾ Ð²Ð½ÐµÐ´ÑÐµÐ½Ð¸Ñ ÐµÐ³Ð¾ Ð² Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¾Ñ Ð¼Ð¾Ð»ÐµÐºÑÐ» Miew. ÐÑÐ»Ð° Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ Ð´Ð»Ñ ÐºÐ°ÑÑ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸, Ð¾Ð¿Ð¸ÑÐ°ÑÑÑ Ð½Ð° ÐºÐ¾ÑÐ¾ÑÑÑ, ÑÑÐ°Ð»Ð¾ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÐ¼ ÑÐ²ÑÐ·Ð°ÑÑ ÐºÐ°ÑÐµÑÑÐ²Ð¾ ÑÐ°Ð±Ð¾ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² ÑÑÐ¼Ð¾Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÐºÐ°ÑÑ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ñ ÐºÐ°ÑÐµÑÑÐ²Ð¾Ð¼ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð¸ÑÑÐµÐ¼ÑÑ Ð´Ð°Ð½Ð½ÑÑ ÑÑÐ¸Ñ ÐºÐ°ÑÑ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð¾ ÑÑÐ¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÑÐ¼Ð¾Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ (BM4D, non-local means, median filter), ÐºÐ¾ÑÐ¾ÑÑÐµ Ð°Ð´Ð°Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¿Ð¾Ð´ ÑÐ°Ð±Ð¾ÑÑ Ñ ÐºÐ°ÑÑÐ°Ð¼Ð¸ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸. ÐÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÐºÐ°ÑÐµÑÑÐ²Ð° Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ.
description: The given work is devoted to the study of molecular density maps and methods which decrease the number of defects (noise elements) appearing during visualization of these maps. The research sets the following goals: - Studying the process of obtaining molecular density maps. - Reviewing some noise reduction algorithms for images, and their generalization for volumetric data. - Development of the BM4D noise reduction algorithm, adapted to work with the molecular density maps and intended for its subsequent implementation in the Miew (3D Molecular Viewer). A model for molecular density maps was proposed, based on which it became possible to associate the quality of the noise reduction algorithms with the quality of the visualized data of these maps. The study resulted in three noise reduction algorithms (BM4D, non-local means, median filter), which are adapted to work with molecular density maps. Comparison of the quality of their work is also provided.