{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T16:41:12Z","timestamp":1719074472984},"reference-count":34,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T00:00:00Z","timestamp":1575331200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundations of China","award":["51708559, U1534206","2017YFB1201204"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"This study proposed a nonintrusive and cost-efficient technique to measure the thickness of a thin water film\/rivulet based on the grayscale index. This technique uses millions of probes and only needs a digital camera, fill lights, and pigment. For water colored with diluted pigment, the grayscale index of the water captured by a digital camera depends on the water thickness. This relationship can be utilized to measure the water thickness through digital image processing. In the present study, the relationship between the grayscale index and water thickness was theoretically and experimentally investigated. Theoretical derivation revealed that when the product of water thickness and the color density approaches to 0, the grayscale index is inversely proportional to the thickness. The experimental results show that under the color density of 0.05%, the grayscale index is inversely proportional to the thickness of water film when the thickness is less than 6 mm. This linear relationship was utilized to measure the distribution and profile of a water rivulet flowing on the lower surface of a cable model.<\/jats:p>","DOI":"10.3390\/rs11232871","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T09:58:39Z","timestamp":1575367119000},"page":"2871","source":"Crossref","is-referenced-by-count":2,"title":["Thickness Measurement of Water Film\/Rivulets Based on Grayscale Index"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"http:\/\/orcid.org\/0000-0003-2267-5589","authenticated-orcid":false,"given":"Haiquan","family":"Jing","sequence":"first","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"},{"name":"National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China"}]},{"given":"Yi","family":"Cheng","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0003-2746-182X","authenticated-orcid":false,"given":"Xuhui","family":"He","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"},{"name":"National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China"}]},{"given":"Xu","family":"Zhou","sequence":"additional","affiliation":[{"name":"Chongqing Wanqiao Communication-Tech Co.Ltd., Chongqing 400067, China"}]},{"given":"Jia","family":"He","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Hunan University, Changsha 410075, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s00348-015-2046-z","article-title":"An experimental investigation on the surface water transport process over an airfoil by using a digital image projection technique","volume":"56","author":"Zhang","year":"2015","journal-title":"Exp. 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