{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:10:53Z","timestamp":1760238653506,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2020,8,15]],"date-time":"2020-08-15T00:00:00Z","timestamp":1597449600000},"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":["41571369"],"award-info":[{"award-number":["41571369"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Special Foundation for Science and Technology Basic Resource Investigation Program of China","award":["2019FY101304"],"award-info":[{"award-number":["2019FY101304"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Tilting sampling is a novel sampling mode for achieving a higher resolution of hyperspectral imagery. However, most studies on the tilting image have only focused on a single band, which loses the features of hyperspectral imagery. This study focuses on the restoration of tilting hyperspectral imagery and the practicality of its results. First, we reduced the huge data of tilting hyperspectral imagery by the p-value sparse matrix band selection method (pSMBS). Then, we restored the reduced imagery by optimal reciprocal cell combined modulation transfer function (MTF) method. Next, we built the relationship between the restored tilting image and the original normal image. We employed the least square method to solve the calibration equation for each band. Finally, the calibrated tilting image and original normal image were both classified by the unsupervised classification method (K-means) to confirm the practicality of calibrated tilting images in remote sensing applications. The results of classification demonstrate the optimal reciprocal cell combined MTF method can effectively restore the tilting image and the calibrated tiling image can be used in remote sensing applications. The restored and calibrated tilting image has a higher resolution and better spectral fidelity.<\/jats:p>","DOI":"10.3390\/s20164589","type":"journal-article","created":{"date-parts":[[2020,8,17]],"date-time":"2020-08-17T04:35:51Z","timestamp":1597638951000},"page":"4589","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Restoration and Calibration of Tilting Hyperspectral Super-Resolution Image"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9394-0461","authenticated-orcid":false,"given":"Xizhen","family":"Zhang","sequence":"first","affiliation":[{"name":"Key Laboratory of 3D Information Acquisition and Application, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Engineering Research Center of Spatial Information Technology, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Center for Geographic Environment Research and Education, Capital Normal University, Beijing 100048, China"}]},{"given":"Aiwu","family":"Zhang","sequence":"additional","affiliation":[{"name":"Key Laboratory of 3D Information Acquisition and Application, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Engineering Research Center of Spatial Information Technology, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Center for Geographic Environment Research and Education, Capital Normal University, Beijing 100048, China"}]},{"given":"Mengnan","family":"Li","sequence":"additional","affiliation":[{"name":"Key Laboratory of 3D Information Acquisition and Application, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Engineering Research Center of Spatial Information Technology, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Center for Geographic Environment Research and Education, Capital Normal University, Beijing 100048, China"}]},{"given":"Lulu","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of 3D Information Acquisition and Application, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Engineering Research Center of Spatial Information Technology, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Center for Geographic Environment Research and Education, Capital Normal University, Beijing 100048, China"}]},{"given":"Xiaoyan","family":"Kang","sequence":"additional","affiliation":[{"name":"Key Laboratory of 3D Information Acquisition and Application, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Engineering Research Center of Spatial Information Technology, Ministry of Education, Capital Normal University, Beijing 100048, China"},{"name":"Center for Geographic Environment Research and Education, Capital Normal University, Beijing 100048, China"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,15]]},"reference":[{"key":"ref_1","first-page":"227","article-title":"A study on a new method for improving image spatial resolution of sampled optical imager with single array","volume":"27","author":"Zhou","year":"2006","journal-title":"J. Astronaut."},{"key":"ref_2","first-page":"43","article-title":"Study on Supermode & Tilting Mode Sampling Technology for EO","volume":"3","author":"Zhou","year":"2005","journal-title":"Spacecr. Recovery Remote Sens."},{"key":"ref_3","unstructured":"Wang, J., and Xia, D. (2012, January 29\u201331). Improving the effective resolution of optical remote sensor with adapted reciprocal cell. Proceedings of the International Conference on Systems & Computer Science, Lille, France."},{"key":"ref_4","unstructured":"Wang, J. (2012). Research on Acquisition System Modeling Based Remote Sensing Image Resolution Improvement. [Ph.D. Thesis, Nanjing University of Science and Technology]."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"826001","DOI":"10.3788\/IRLA201948.0826001","article-title":"Optimal angle in tilting mode super resolution imaging","volume":"48","author":"Zhang","year":"2019","journal-title":"Infrared Laser Eng."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1117\/1.1666862","article-title":"Alias-free image subsampling using Fourier-based windowing methods","volume":"43","author":"Young","year":"2004","journal-title":"Opt. Eng."},{"key":"ref_7","first-page":"1","article-title":"Anti-aliasing Filter Design for Subpixel Down-sampling via Frequency Domain Analysis","volume":"21","author":"Fang","year":"2011","journal-title":"IEEE Trans. Image Process."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1023\/B:JMIV.0000043739.51886.01","article-title":"Measuring and Improving Image Resolution by Adaptation of the Reciprocal Cell","volume":"21","author":"Almansa","year":"2004","journal-title":"J. Math. Imaging Vis."},{"key":"ref_9","first-page":"2451","article-title":"Tilting Mode Sampling Image Restoration Based on Optimal Reciprocal Cell","volume":"32","author":"Wang","year":"2011","journal-title":"J. Astronaut."},{"key":"ref_10","first-page":"60","article-title":"Super-Resolution Restoration of Super-tilting Mode Remote Sensing Image","volume":"33","author":"Jing","year":"2012","journal-title":"Spacecr. Recovery Remote Sens."},{"key":"ref_11","first-page":"953","article-title":"Influence of tilting angle on tilting sampling aliasing and relationship between aliasing and resolution","volume":"45","author":"Wang","year":"2015","journal-title":"Jilin Daxue Xuebao\/J. Jilin Univ."},{"key":"ref_12","first-page":"512","article-title":"Image Restoration Based on Hybrid Reciprocal Cell-Wavelet","volume":"36","author":"Zhang","year":"2008","journal-title":"J. Comput. Aided Des. Comput. Graph."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1097\/RTI.0b013e31825412b2","article-title":"Use of a Hybrid Iterative Reconstruction Technique to Reduce Image Noise and Improve Image Quality in Obese Patients Undergoing Computed Tomographic Pulmonary Angiography","volume":"28","author":"Kligerman","year":"2013","journal-title":"J. Thorac Imaging"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1454","DOI":"10.1118\/1.2188816","article-title":"Intercomparison of methods for image quality characterization. I. Modulation transfer function","volume":"33","author":"Samei","year":"2006","journal-title":"Med. Phys."},{"key":"ref_15","first-page":"6","article-title":"Measuring the Modulation Transfer Function of Image Capture Devices: What Do the Numbers Really Mean?","volume":"8293","author":"Zhang","year":"2012","journal-title":"Proc. Spie Int. Soc. Opt. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Alaruri, S.D. (2020). Practical methods for characterizing the optical performance of digital camera-based imaging systems: Image processing application using image. Optik, in press.","DOI":"10.1016\/j.ijleo.2020.164487"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Roland, J.K.M. (2015, January 8). A study of slanted-edge MTF stability and repeatability. Proceedings of the IS&T\/SPIE Electronic Imaging, San Francisco, CA, USA.","DOI":"10.1117\/12.2077755"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Yu, J., Yao, L., Chang, Z.-C., and Sun, W.-D. (2017, January 11). Improving Image Resolution by 45-Degree Tilting-Mode Sampling. Proceedings of the International Conference on Wireless Communication and Sensor Networks, Wuhan, China.","DOI":"10.2991\/icwcsn-16.2017.142"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"341","DOI":"10.14257\/ijmue.2014.9.10.33","article-title":"Sparse Representation based Satellite Image Restoration Using Adaptive Reciprocal Cell","volume":"9","author":"He","year":"2014","journal-title":"Int. J. Multimed. Ubiquitous Eng."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1026002","DOI":"10.3788\/IRLA201847.1026002","article-title":"Hyperspectral image denoising and antialiasing based on tensor space and reciprocal cell","volume":"47","author":"Zhang","year":"2018","journal-title":"Infrared Laser Eng."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"17297","DOI":"10.3390\/rs71215883","article-title":"Toward High Altitude Airship Ground-Based Boresight Calibration of Hyperspectral Pushbroom Imaging Sensors","volume":"7","author":"Zhang","year":"2015","journal-title":"Remote Sens."},{"key":"ref_22","first-page":"401","article-title":"Hyperspectral images band selection algorithm through p-value statistic modeling independence","volume":"47","author":"Zhang","year":"2018","journal-title":"Infrared Laser Eng."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1063\/1.2820230","article-title":"Numerical Recipes in C: The Art of Scientific Computing","volume":"40","author":"Press","year":"1988","journal-title":"Phys. Today"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"052601","DOI":"10.1117\/1.3570681","article-title":"Imaging system fundamentals","volume":"50","author":"Holst","year":"2011","journal-title":"Opt. Eng."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"986","DOI":"10.1016\/j.ijleo.2018.11.035","article-title":"Modulation transfer function of an imaging system with a hexagonal pixel array detector","volume":"179","author":"Wang","year":"2019","journal-title":"Optik"},{"key":"ref_26","first-page":"774207","article-title":"PSF and MTF measurement methods for thick CCD sensor characterization","volume":"7742","author":"Takacs","year":"2010","journal-title":"Proc. SPIE Int. Soc. Opt. Eng."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1148\/93.2.257","article-title":"Point Spread-Function, Line Spread-Function, and Modulation Transfer Function","volume":"93","author":"Kurt","year":"1969","journal-title":"Radiology"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/0141-9382(91)90004-W","article-title":"Numerical methods for computing modulation transfer-function area","volume":"12","author":"Infante","year":"1991","journal-title":"Displays"},{"key":"ref_29","first-page":"1032","article-title":"Comparison and Simulation of Subpixel Imaging Modes for Linear CCD","volume":"236\u2013237","author":"Li","year":"2012","journal-title":"Appl. Mech. Mater."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/j.scitotenv.2018.08.442","article-title":"Predicting cadmium concentration in soils using laboratory and field reflectance spectroscopy","volume":"650","author":"Xia","year":"2019","journal-title":"Sci. Total Environ."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"927","DOI":"10.1002\/jpln.201300399","article-title":"Use of FTIR-PAS combined with chemometrics to quantify nutritional information in rapeseeds (Brassica napus)","volume":"177","author":"Lu","year":"2015","journal-title":"J. Plant Nutr. Soil Sci."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"117639","DOI":"10.1016\/j.saa.2019.117639","article-title":"Assessing heavy metal concentrations in earth-cumulic-orthic-anthrosols soils using Vis-NIR spectroscopy transform coupled with chemometrics","volume":"226","author":"Liu","year":"2020","journal-title":"Spectrochim. Acta Part A Mol. Biomol. Spectrosc."},{"key":"ref_33","unstructured":"He, Z., Li, M., and Ma, Z. (2015, January 22\u201324). Prediction of dry matter, protein, and acidity in corn steep liquor using near infrared spectroscopy. Proceedings of the 2015 IEEE 7th International Conference on Awareness Science and Technology (iCAST), Qinhuangdao, China."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/16\/4589\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:01:34Z","timestamp":1760176894000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/16\/4589"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,15]]},"references-count":33,"journal-issue":{"issue":"16","published-online":{"date-parts":[[2020,8]]}},"alternative-id":["s20164589"],"URL":"https:\/\/doi.org\/10.3390\/s20164589","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,8,15]]}}}