{"id":2252,"date":"2025-05-13T19:06:28","date_gmt":"2025-05-13T18:06:28","guid":{"rendered":"http:\/\/newskbncran.ru\/?page_id=2252"},"modified":"2026-06-05T09:07:04","modified_gmt":"2026-06-05T08:07:04","slug":"26-6-4-en","status":"publish","type":"page","link":"http:\/\/izvestiyakbncran.ru\/index.php\/en\/26-6-4-en\/","title":{"rendered":"26.6.4 en"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\" style=\"font-size:22px\"><strong>LUT generator based on smooth piecewise linear parameterized function<\/strong><\/h2>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-medium-font-size wp-elements-1 wp-block-paragraph\"><strong><strong>M.A. Kazakov<\/strong><\/strong><\/p>\n\n\n\n<div class=\"wp-block-group is-vertical is-content-justification-left is-nowrap is-layout-flex wp-container-core-group-is-layout-20193d73 wp-block-group-is-layout-flex\" style=\"border-style:none;border-width:0px;margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<p class=\"has-text-color has-link-color has-lora-font-family wp-elements-2 wp-block-paragraph\" style=\"color:#5b1919;font-size:12px;text-decoration:underline\"><\/p>\n\n\n\n<div class=\"wp-block-group is-horizontal is-layout-flex wp-container-core-group-is-layout-9076828a wp-block-group-is-layout-flex\" style=\"min-height:0px;margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-buttons is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-856cf56e wp-block-buttons-is-layout-flex\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-right:0;padding-bottom:0;padding-left:0\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100 is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link has-background-background-color has-text-color has-background has-link-color has-border-color has-custom-font-size wp-element-button\" href=\"http:\/\/izvestiyakbncran.ru\/wp-content\/uploads\/2026\/06\/4.-kazakov-4.pdf\" style=\"border-color:#5b1919;border-style:solid;border-width:2px;border-radius:8px;color:#5b1919;padding-top:0.4rem;padding-right:var(--wp--preset--spacing--40);padding-bottom:0.4rem;padding-left:var(--wp--preset--spacing--40);font-size:12px\">PDF<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:0px;width:0px\" aria-hidden=\"true\" class=\"wp-block-spacer wp-container-content-273e683f\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100 is-style-outline is-style-outline--2\"><a class=\"wp-block-button__link has-background-background-color has-text-color has-background has-link-color has-border-color has-text-align-center has-custom-font-size wp-element-button\" href=\"http:\/\/izvestiyakbncran.ru\/wp-content\/uploads\/2026\/06\/4.-kaz.xml\" style=\"border-color:#5b1919;border-width:2px;border-top-left-radius:8px;border-top-right-radius:8px;border-bottom-left-radius:8px;border-bottom-right-radius:8px;color:#5b1919;padding-top:0.4rem;padding-right:var(--wp--preset--spacing--40);padding-bottom:0.4rem;padding-left:var(--wp--preset--spacing--40);font-size:12px\">JATS XML<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-3 wp-block-paragraph\" style=\"border-style:none;border-width:0px;border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-left-radius:0px;border-bottom-right-radius:0px;color:#5b1919;margin-top:0;margin-right:0;margin-bottom:0;margin-left:0;padding-top:0;padding-right:0;padding-bottom:0;padding-left:0\"><\/p>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\" style=\"margin-top:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20)\"\/>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-4 wp-block-paragraph\" style=\"line-height:1.4\"><strong><em>Abstract.<\/em> <\/strong>When visualizing X-ray images, there is a problem of specific transformation of the original image in accordance with the examined tissues and body parts. Since different tissues have different ranges of densities, the required results can be achieved by expanding the dynamic range for pixels whose intensity values \u200b\u200bare in a certain range characteristic of the corresponding tissue. Such transformations for each pixel of the image are determined directly by the pixel intensity value and do not depend on the intensity values \u200b\u200bof neighboring pixels, i.e. the transformation is a function of one variable. This allows using tabular representations of functions (Lookup Tables \u2013 LUTs), which ensures high computational efficiency. To select the appropriate transformation functions, the participation of an expert is required, who will determine how correctly a particular function transforms the image. The paper presents a flexible generator of lookup tables (LUTs), with the help of which it is possible to produce tables with various parameters. Illustrations of the transformation results are provided. A link with an implementation in Python is attached, which provides the ability to visualize the result in order to interactively select the appropriate parameters.<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-5 wp-block-paragraph\" style=\"line-height:1.4\"><strong><em>Keywords:<\/em> <\/strong>Lookup Tables, X-ray images, image processing, contrast enhancement<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family wp-elements-6 wp-block-paragraph\" style=\"font-size:12px;line-height:1.4\"><strong>For citation<\/strong>. Kazakov M.A. LUT generator based&nbsp; on &nbsp;smooth&nbsp; piecewise&nbsp; linear&nbsp; parameterized&nbsp; function. &nbsp;<em>News of the Kabardino-Balkarian Scientific Center of RAS.<\/em><strong> <\/strong>2024. Vol. 26. No. 6. Pp. 45\u201352. DOI: 10.35330<strong>\/<\/strong>1991-6639-2024-26-6-45-52<\/p>\n\n\n\n<details class=\"wp-block-details has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-7 is-layout-flow wp-container-core-details-is-layout-f488f964 wp-block-details-is-layout-flow\" style=\"font-style:normal;font-weight:700;line-height:1.5\"><summary><strong>R<\/strong>eferences<\/summary>\n<ol style=\"margin-top:0;margin-bottom:0\" class=\"wp-block-list\">\n<li style=\"font-style:normal;font-weight:400\">Russo P. Handbook of X-ray imaging: physics and technology. CRC Press, 2018. 1419 p.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Garrido G., Joshi P. OpenCV 3.x with Python by example. Packt Publishing, 2018. 268 p.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Jain A.K. Fundamentals of digital image processing. 1st edition, England: Pearson, 1989. 569 p.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Woods R.E., Gonzalez R.C. Digital Image Processing. England: Pearson, 2021. 1022 p.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Gonzalez R.C. Digital image processing. Pearson education India, 2009.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Yoon D.C. et al. Digital radiographic image processing and analysis. Dental Clinics. 2018. Vol. 62. No. 3. Pp. 341\u2013359. DOI: 10.1016\/j.cden.2018.03.001<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Freedman M.T., Artz D.S. Image processing in digital radiography. Seminars in roentgenology. WB Saunders. 1997. Vol. 32. No. 1. Pp. 25\u201337. DOI: 10.1016\/s0037-198x(97)80033-8<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Carroll Q.B. Digital Radiography in Practice. Charles C Thomas Publisher, 2023.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Naidu S., Quadros A., Natekar A. et al. Enhancement of X-ray images using various Image Processing Approaches. International Conference on Technological Advancements and Innovations (ICTAI). Tashkent, 2021. Pp. 115\u2013120. DOI: 10.1109\/ICTAI53825.2021.9673317<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Modi J. Look Up Tables in Radiography: Why Are They Useful? CE4RT.com, 1 Apr. 2023. https:\/\/ce4rt.com\/rad-tech-talk\/look-up-tables-in-radiography-what-are-they\/<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Jo Y., Kim S.J. Practical single-image super-resolution using look-up table. Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition. 2021. Pp. 691\u2013700.<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Kazakov M.A. A combined method for histogram equalization of high dynamic range images. News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences. No. 6. Pp. 160\u2013166. DOI: 10.35330\/1991-6639-2023-6-116-160-166. (In Russian)<\/li>\n<\/ol>\n<\/details>\n\n\n\n<details class=\"wp-block-details has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-8 is-layout-flow wp-container-core-details-is-layout-9ff6af70 wp-block-details-is-layout-flow\" style=\"font-style:normal;font-weight:700;line-height:1.5\"><summary><strong>Information about the author<\/strong><\/summary>\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-1c18c512 wp-block-group-is-layout-flex\" style=\"min-height:0px;margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--20);padding-right:var(--wp--preset--spacing--40);padding-bottom:var(--wp--preset--spacing--20);padding-left:var(--wp--preset--spacing--40)\">\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\"><strong>Mukhamed A. Kazakov<\/strong>, Junior Researcher of the Department of Neuroinformatics and Machine<br>Learning, Institute of Applied Mathematics and Automation \u2013 branch of Kabardino-Balkarian Scientific<br>Center of the Russian Academy of Sciences;<br>360000, Russia, Nalchik, 89 A Shortanov street;<br>kasakow.muchamed@gmail.com, ORCID: https:\/\/orcid.org\/0000-0002-5112-5079, SPIN-code: 6983-1220<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\"><\/p>\n<\/div>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>LUT generator based on smooth piecewise linear parameterized function M.A. Kazakov Abstract. When visualizing X-ray images, there is a problem of specific transformation of the original image in accordance with the examined tissues and body parts. Since different tissues have different ranges of densities, the required results can be achieved by expanding the dynamic range [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"wp-custom-template-home","meta":{"footnotes":""},"class_list":["post-2252","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>26.6.4 en - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/izvestiyakbncran.ru\/index.php\/en\/26-6-4-en\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"26.6.4 en - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb\" \/>\n<meta property=\"og:description\" content=\"LUT generator based on smooth piecewise linear parameterized function M.A. Kazakov Abstract. 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