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Compared with the original model, we mainly introduce a function expression \u03b6 (\n            <jats:italic toggle=\"yes\">X<\/jats:italic>\n            ) to replace the fixed parameters. The modified model is then discretized using a seven-point difference scheme and solved by an explicit Euler method. Notably, our approach requires no training samples or upfront training time, significantly enhancing overall computational efficiency.\n          <\/jats:p>","DOI":"10.1145\/3765902","type":"journal-article","created":{"date-parts":[[2025,9,3]],"date-time":"2025-09-03T11:37:39Z","timestamp":1756899459000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["A Fast, Efficient, and Robust Feature Protected Denoising Method"],"prefix":"10.1145","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-0295-5666","authenticated-orcid":false,"given":"Mengyu","family":"Luo","sequence":"first","affiliation":[{"name":"school of mathematics and statistics, Nanjing University of Information Science and Technology","place":["Nanjing, China"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2615-0755","authenticated-orcid":false,"given":"Jian","family":"Wang","sequence":"additional","affiliation":[{"name":"school of mathematics and statistics, Nanjing University of Information Science and Technology","place":["Nanjing, China"]}]}],"member":"320","published-online":{"date-parts":[[2025,10,7]]},"reference":[{"key":"e_1_3_1_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2020.3045490"},{"key":"e_1_3_1_3_1","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1109\/ICME.2019.00025","volume-title":"Proceedings of the 2019 IEEE International Conference on Multimedia and Expo (ICME)","author":"Arvanitis Gerasimos","year":"2019","unstructured":"Gerasimos Arvanitis, Aris Lalos, and Konstantinos Moustakas. 2019a. 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