{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:03:41Z","timestamp":1760241821277,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,8,24]],"date-time":"2018-08-24T00:00:00Z","timestamp":1535068800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61501393"],"award-info":[{"award-number":["61501393"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012337","name":"Nanhu Scholars Program for Young Scholars of XYNU","doi-asserted-by":"publisher","award":["020080"],"award-info":[{"award-number":["020080"]}],"id":[{"id":"10.13039\/501100012337","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Future Internet"],"abstract":"<jats:p>Frame repetition (FR) is a common temporal-domain tampering operator, which is often used to increase the frame rate of video sequences. Existing methods detect FR forgery by analyzing residual variation or similarity between video frames; however, these methods are easily interfered with by noise, affecting the stability of detection performance. This paper proposes a noise-level based detection method which detects the varying noise level over time to determine whether the video is forged by FR. Wavelet coefficients are first computed for each video frame, and median absolute deviation (MAD) of wavelet coefficients is used to estimate the standard deviation of Gaussian noise mixed in each video frame. Then, fast Fourier transform (FFT) is used to calculate the amplitude spectrum of the standard deviation curve of the video sequence, and to provide the peak-mean ratio (PMR) of the amplitude spectrum. Finally, according to the PMR obtained, a hard threshold decision is taken to determine whether the standard deviation bears periodicity in the temporal domain, in which way FR forgery can be automatically identified. The experimental results show that the proposed method ensures a large PMR for the forged video, and presents a better detection performance when compared with the existing detection methods.<\/jats:p>","DOI":"10.3390\/fi10090084","type":"journal-article","created":{"date-parts":[[2018,8,24]],"date-time":"2018-08-24T11:13:45Z","timestamp":1535109225000},"page":"84","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Using Noise Level to Detect Frame Repetition Forgery in Video Frame Rate Up-Conversion"],"prefix":"10.3390","volume":"10","author":[{"given":"Yanli","family":"Li","sequence":"first","affiliation":[{"name":"School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China"}]},{"given":"Lala","family":"Mei","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7475-759X","authenticated-orcid":false,"given":"Ran","family":"Li","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China"}]},{"given":"Changan","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,8,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1109\/TBC.2016.2550764","article-title":"Accurate frame rate up-conversion for advanced visual quality","volume":"62","author":"Tsai","year":"2016","journal-title":"IEEE Trans. Broadcast."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2144","DOI":"10.1109\/TCSVT.2014.2334031","article-title":"Exposing fake bit rate videos and estimating original bit rates","volume":"24","author":"Bian","year":"2014","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_3","unstructured":"(2017, December 05). Video Edit Magic. Available online: https:\/\/video-edit-magic.en.softonic.com."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Bestagini, P., Battaglia, S., Milani, S., Tagliasacchi, M., and Tubaro, S. (2013, January 26\u201331). Detection of temporal interpolation in video sequences. Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, Vancouver, BC, Canada.","DOI":"10.1109\/ICASSP.2013.6638215"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"8399","DOI":"10.1007\/s11042-016-3468-1","article-title":"Detecting video frame rate up-conversion based on frame-level analysis of average texture variation","volume":"76","author":"Xia","year":"2017","journal-title":"Multimed. Tools Appl."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1007\/s11042-013-1364-5","article-title":"Detecting video frame-rate up-conversion based on periodic properties of inter-frame similarity","volume":"72","author":"Bian","year":"2014","journal-title":"Multimed. Tools Appl."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIP.2003.819861","article-title":"Image quality assessment: from error visibility to structural similarity","volume":"13","author":"Wang","year":"2004","journal-title":"IEEE Trans. Image Process."},{"key":"ref_8","first-page":"1","article-title":"Using similarity analysis to detect frame duplication forgery in videos","volume":"75","author":"Yang","year":"2016","journal-title":"Multimed. Tools Appl."},{"key":"ref_9","first-page":"39","article-title":"Detecting video frame-rate up-conversion based on periodic properties of edge-intensity","volume":"26","author":"Yao","year":"2016","journal-title":"J. Inf. Secur. Appl."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1497","DOI":"10.1109\/TCSVT.2017.2676162","article-title":"Identification of motion-compensated frame rate up-conversion based on residual signal","volume":"28","author":"Ding","year":"2018","journal-title":"IEEE Trans. Circ. Syst. Video Technol."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Ding, X., Zhu, N., Li, L., Li, Y., and Yang, G. (2018). Robust localization of interpolated frames by motion-compensated frame-interpolation based on artifact indicated map and tchebichef moments. IEEE Trans. Circ. Syst. Video Technol.","DOI":"10.1109\/TCSVT.2018.2852799"},{"key":"ref_12","unstructured":"(2003). Advanced Video Coding for Generic Audio-Visual Service, International Telecommunication Union. ITU-T Rec. H.264 and ISO\/IEC 14496-10 (AVC); ITU-T and ISO\/IEC JTC 1."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1649","DOI":"10.1109\/TCSVT.2012.2221191","article-title":"Overview of the High Efficiency Video Coding (HEVC) Standard","volume":"22","author":"Sullivan","year":"2012","journal-title":"IEEE Trans. Circ. Syst. Video Technol."},{"key":"ref_14","unstructured":"Papoulis, A., and Pillai, S.U. (2002). Probability, Random Variables and Stochastic Processes, McGraw-Hill. [4th ed.]."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1109\/TAU.1969.1162048","article-title":"Fast Fourier transform hardware implementations-A survey","volume":"17","author":"Bergland","year":"1969","journal-title":"IEEE Trans. Audio Electroacoust."},{"key":"ref_16","unstructured":"Tai, S.C., and Yang, S.M. (2008, January 12\u201314). A fast method for image noise estimation using Laplacian operator and adaptive edge detection. Proceedings of the 2008 3rd International Symposium on Communications, Control and Signal Processing, St Julians, Malta."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Zoran, D., and Weiss, Y. (October, January 29). Scale invariance and noise in natural images. Proceedings of the 2009 IEEE 12th International Conference on Computer Vision, Kyoto, Japan.","DOI":"10.1109\/ICCV.2009.5459476"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Leigh, A., Wong, A., Clausi, D.A., and Fieguth, P. (2011, January 5\u20137). Comprehensive analysis on the effects of noise estimation strategies on image noise artifact suppression performance. Proceedings of the 2011 IEEE International Symposium on Multimedia, Dana Point, CA, USA.","DOI":"10.1109\/ISM.2011.24"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1109\/18.382009","article-title":"De-noising by soft-thresholding","volume":"41","author":"Donoho","year":"1995","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1109\/34.192463","article-title":"A theory for multiresolution signal decomposition: the wavelet representation","volume":"11","author":"Mallat","year":"1989","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."}],"container-title":["Future Internet"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-5903\/10\/9\/84\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:20:49Z","timestamp":1760196049000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-5903\/10\/9\/84"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,24]]},"references-count":20,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2018,9]]}},"alternative-id":["fi10090084"],"URL":"https:\/\/doi.org\/10.3390\/fi10090084","relation":{},"ISSN":["1999-5903"],"issn-type":[{"type":"electronic","value":"1999-5903"}],"subject":[],"published":{"date-parts":[[2018,8,24]]}}}