Novel Point Cloud Distance Metric with Adjustable Error Sensitivity and Shape Compensation

Novel Point Cloud Distance Metric with Adjustable Error Sensitivity and Shape Compensation | 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 Novel Point Cloud Distance Metric with Adjustable Error Sensitivity and Shape Compensation Sukhan Lee, Seunghee Han This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6755606/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Point distance metrics such as Chamfer Distance (CD) and Earth Mover’s Distance (EMD) play a key role in evaluating the quality of reconstructed point clouds and computing training loss in point cloud reconstruction. However, the metrics show their own characteristics in evaluation, stemming from differences in their sensitivity to point cloud error traits, which, in turn, causes differences in their performance of point cloud evaluation and reconstruction. In this study, we analyzed in detail the sensitivity of distance metrics to such error traits as density imbalance and point dispersion. We showed how the sensitivity difference in metrics affects their performance in point cloud evaluation and reconstruction. Recognizing that the sensitivity of a metric is correlated with the level of bijective one-to-one point correspondence embedded in the metric, we proposed a new metric, the nestedChamfer distance (NCD-n), that allows to adjust its sensitivity to error traits through the nested CD cycle, n, by which the level of bijective one-to-one point correspondence is controlled. In addition, we analyzed the effect of shape-induced point density difference on distance metrics and proposed taking shape compensation into account in metrics. Based on extensive experiments, we verified the difference of metrics in their sensitivities to error traits, the capability of the proposed NCD-n for adjusting its sensitivity effectively, and the effect of sensitivity adjustment and shape-compensation on the performance of point cloud evaluation and reconstruction. Chamfer Distance Earth Mover’s Distance Nested Chamfer Distance Shape Compensated Metric Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted 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. 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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-6755606","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":486153196,"identity":"65675c50-6407-46a1-aa17-652ebb2d88d0","order_by":0,"name":"Sukhan Lee","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAp0lEQVRIiWNgGAWjYBACPgYehgMfGBIMQBwJorSwMfAwHpxBqhbmwzykaeE/e+CwzZ80Y4MDzAdv8xClRSIv4XBuW46ZwQG2ZGsitfAYHM5tqLAxOMBjJk2cFv4zBoct/oC08H8jUgtDjsFhBjaQw3jYiNQikWNwsLctzVjyMJux5RxitPDznzH+8ONPsmHf8eaHN94QowUBmElTPgpGwSgYBaMAHwAA1YctE44EJUIAAAAASUVORK5CYII=","orcid":"","institution":"Sungkyunkwan University","correspondingAuthor":true,"prefix":"","firstName":"Sukhan","middleName":"","lastName":"Lee","suffix":""},{"id":486153197,"identity":"027f9800-9714-4bec-a3b1-2934cd928d74","order_by":1,"name":"Seunghee Han","email":"","orcid":"","institution":"Sungkyunkwan University","correspondingAuthor":false,"prefix":"","firstName":"Seunghee","middleName":"","lastName":"Han","suffix":""}],"badges":[],"createdAt":"2025-05-27 05:38:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6755606/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6755606/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":90346973,"identity":"1044fc5d-8d3f-4868-917c-a2e872999565","added_by":"auto","created_at":"2025-09-01 16:31:50","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1765175,"visible":true,"origin":"","legend":"","description":"","filename":"0MetricFinalVCversion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6755606/v1_covered_a134759f-ed2c-48c2-bfb9-4aa6c3ebd8c6.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eNovel Point Cloud Distance Metric with Adjustable Error Sensitivity and Shape Compensation\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"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":"Chamfer Distance, Earth Mover’s Distance, Nested Chamfer Distance, Shape Compensated Metric","lastPublishedDoi":"10.21203/rs.3.rs-6755606/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6755606/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003ePoint distance metrics such as Chamfer Distance (CD) and Earth Mover’s Distance (EMD) play a key role in evaluating the quality of reconstructed point clouds and computing training loss in point cloud reconstruction. 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