Projector-Camera Calibration with Non-overlapping Fields of View Using a Planar Mirror

Projector-Camera Calibration with Non-overlapping Fields of View Using a Planar Mirror | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Projector-Camera Calibration with Non-overlapping Fields of View Using a Planar Mirror Joni Vanherck, Lode Jorissen, Brent Zoomers, Nick Michiels This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4605720/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 08 Jan, 2025 Read the published version in Virtual Reality → Version 1 posted You are reading this latest preprint version Abstract Projector-camera systems have numerous applications across diverse domains. Accurate calibration of both intrinsic and extrinsic parameters is crucial for these systems. Intrinsic parameters include focal length, distortion parameters, and the principal point, while extrinsic parameters encompass the position and orientation of the projector and camera. A non-overlapping projector-camera system is required in certain scenarios due to practical limitations, physical arrangements, or specific application requirements. These systems pose a more complex calibration challenge because the devices have no direct correspondences or overlapping fields of view, necessitating intermediate objects or methods. This paper proposes a calibration method for non-overlapping projector-camera systems using a planar mirror. The method involves a straightforward process that requires a calibrated camera and a separate mirror calibration step. In this setup, the projector displays a pattern on a planar calibration board, and the camera has an indirect view of this calibration board through the mirror. Using homography, 3D-2D correspondences of the projector are established, enabling the calibration of the system. This method is empirically evaluated using real-world setups and quantitatively assessed in a synthetic environment. The results demonstrate that the proposed method achieves precise calibration across various setups, proving its effectiveness. This approach is an easy-to-use and accessible calibration process for non-overlapping projector-camera systems, made possible by a mirror. Projector-camera Calibration Non-overlapping projector-camera calibration Planar mirror Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 08 Jan, 2025 Read the published version in Virtual Reality → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4605720","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":319798175,"identity":"9b445865-ed21-4cb7-9614-2befb48898f0","order_by":0,"name":"Joni Vanherck","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABDUlEQVRIiWNgGAWjYBACxgYGhgMghgGYU8GQABZ+wABlENZyBqoyIQG3FjgAa2lsI0ILc3vvwQOMbXZ55uy9Dz/OnHc4j7//+MMHiT8Y8vhxOaznXAJQS3KxZc9xY8mN2w4XS9zIMTYA2lIs2YBDy4wcgwMMZ5gTN9xIY2N8uO1wYsMNHjYJoJbEDQfwaqlP3HD/GVDLnMOJ888ff/4DpGU/Xi0Vh4G2sLExbmwAMg4kmDGAbcHplzMGBxIqjiduOJPGLDnjWHriRqBfJBLSJIolcNhi2N5j/OGDQXXihuPHGD/21Fgnzjt//OGHDzY2efw4vG8IEk/AIiGBw1kMDPI4ZUbBKBgFo2AUwAAAQqFpDxmEMUgAAAAASUVORK5CYII=","orcid":"","institution":"Hasselt University","correspondingAuthor":true,"prefix":"","firstName":"Joni","middleName":"","lastName":"Vanherck","suffix":""},{"id":319798176,"identity":"cf2c7e19-eb9a-4612-9081-9dc83edf5a9e","order_by":1,"name":"Lode Jorissen","email":"","orcid":"","institution":"Hasselt University","correspondingAuthor":false,"prefix":"","firstName":"Lode","middleName":"","lastName":"Jorissen","suffix":""},{"id":319798177,"identity":"9e566efe-f66e-448f-82aa-fde8865eea8c","order_by":2,"name":"Brent Zoomers","email":"","orcid":"","institution":"Hasselt University","correspondingAuthor":false,"prefix":"","firstName":"Brent","middleName":"","lastName":"Zoomers","suffix":""},{"id":319798178,"identity":"f1088809-8a91-444e-a637-63009f0344a9","order_by":3,"name":"Nick Michiels","email":"","orcid":"","institution":"Hasselt University","correspondingAuthor":false,"prefix":"","firstName":"Nick","middleName":"","lastName":"Michiels","suffix":""}],"badges":[],"createdAt":"2024-06-19 11:52:29","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4605720/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4605720/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10055-024-01089-7","type":"published","date":"2025-01-08T15:57:31+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":73693898,"identity":"7cde6dfc-b184-4384-bb3f-26f4169f1d89","added_by":"auto","created_at":"2025-01-13 16:09:10","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4634225,"visible":true,"origin":"","legend":"","description":"","filename":"ProjectorCameraCalibrationwithNonoverlappingFieldsofViewUsingaPlanarMirror.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4605720/v1_covered_363eab1c-fca1-4e31-85e2-7d7a3c0f36cb.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Projector-Camera Calibration with Non-overlapping Fields of View Using a Planar Mirror","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Projector-camera, Calibration, Non-overlapping projector-camera calibration, Planar mirror","lastPublishedDoi":"10.21203/rs.3.rs-4605720/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4605720/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Projector-camera systems have numerous applications across diverse domains. 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