[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-650297-105":59,"doc-detail-650297-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","symmetry-driven-3d-reconstruction-from-concept-sketches-paper","Symmetry-driven 3D Reconstruction from Concept Sketches - Paper","","Concept sketches used in industrial design convey 3D intent despite being imprecise. The work introduces a symmetry-driven method that recovers designer-intended geometry by exploiting locally symmetric building blocks defined by triplets of orthogonal symmetry planes. It detects candidate building blocks using 2D symmetries and drawing order, then reconstructs them from perceptual cues and observed drawing choices. The selection of stroke correspondences is formulated as an integer programming problem to maximize symmetric, well-connected shapes, showing robustness on imperfect sketches.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/symmetry-driven-3d-reconstruction-from-concept-sketches-paper/650297/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/symmetry-driven-3d-reconstruction-from-concept-sketches-paper/650297.png","ImageObject",300,407,{"name":92,"@type":93},"Ophelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-24",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the core idea of the proposed method?","Question",{"text":112,"@type":113},"The method lifts concept sketches to 3D by leveraging axis-aligned reflective symmetries and locally symmetric building blocks defined by triplets of orthogonal symmetry planes.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are building blocks identified in the sketches?",{"text":117,"@type":113},"Potential building blocks are identified using a combination of 2D symmetries and the drawing order present in the sketch.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the method decide which stroke correspondences to use?",{"text":121,"@type":113},"Reconstruction is cast as an integer programming problem that selects the subset of candidate symmetry correspondences yielding the most symmetric and well-connected shape.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},650297,1792940902,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":39,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":46},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","Symmetry-driven 3D Reconstruction from Concept Sketches  \nFelix Hähnlein  \n[felix.hahnlein@inria.fr](felix.hahnlein@inria.fr)[ ](felix.hahnlein@inria.fr)Inria, Université Côte d’Azur France  \nYulia Gryaditskaya  \n[yulia.gryaditskaya@gmail.com](yulia.gryaditskaya@gmail.com)[ ](yulia.gryaditskaya@gmail.com)Surrey Institute for People Centred AI and Centre for Vision, Speech and Signal Processing (CVSSP), University of Surrey  \nUnited Kingdom  \nAlla Sheffer  \n[sheffa@cs.ubc.ca](sheffa@cs.ubc.ca)[ ](sheffa@cs.ubc.ca)University of British Columbia Canada  \nAdrien Bousseau  \n[adrien.bousseau@inria.fr](adrien.bousseau@inria.fr)[ ](adrien.bousseau@inria.fr)Inria, Université Côte d’Azur France  \n(a) Input Sketch (b) Segmented building blocks (cst)rSoykmmetre correysppolanes aencne (d) 3D reconstruction  \nFigure 1: Concept sketches are dominated by symmetric strokes both in the shapes they depict, and in the construction lines employed to draw these shapes in perspective (a). Our algorithm first decomposes the sketch into locally-symmetric groups of strokes (b), and proceeds to identify pairs of strokes that are symmetric with respect to triplets of axis-aligned planes (c). At its core, our method selects the stroke correspondences that result in the most symmetric and well connected shape (d). We only show a subset of the symmetry planes and correspondences for illustration purpose.  \nABSTRACT  \nConcept sketches, ubiquitously used in industrial design, are inherently imprecise yet highly effective at communicating 3D shape to human observers. We present a new symmetry-driven algorithm for recovering designer-intended 3D geometry from concept sketches. We observe that most concept sketches of human-made shapes are structured around locally symmetric building blocks, defined by triplets of orthogonal symmetry planes. We identify potential building blocks using a combination of 2D symmetries and drawing order. We reconstruct each such building block by leveraging a combination of perceptual cues and observations about designer drawing choices. We cast this reconstruction as an integer programming problem where we seek to identify, among the large set of candidate symmetry correspondences formed by approximate pen strokes, the subset that results in the most symmetric and well-connected shape. We demonstrate the robustness of our approach by reconstructing  \nSIGGRAPH’22 Conference Proceedings, August 7–11, 2022, Vancouver, BC, Canada © 2022 Copyright held by the owner/author(s) . Publication rights licensed to ACM. This is the author’s version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in Special Interest Group on Computer Graphics and Interactive Techniques Conference Proceedings (SIGGRAPH’22 Conference Proceedings), August 7–11, 2022, Vancouver, BC, Canada, [https://doi.org/10.1145/3528233.3530723](https://doi.org/10.1145/3528233.3530723) .  \n82 sketches, which exhibit significant over-sketching, inaccurate perspective, partial symmetry, and other imperfections. In a comparative study, participants judged our results as superior to the state-of-the-art by a ratio of 2:1 .  \nCCS CONCEPTS  \n• Computing methodologies → Shape modeling.  \nKEYWORDS  \nindustrial design, sketches, line drawing, sketch-based modeling, 3D reconstruction, symmetry  \nACM Reference Format:  \nFelix Hähnlein, Yulia Gryaditskaya, Alla Sheffer, and Adrien Bousseau.  \n2022. Symmetry-driven 3D Reconstruction from Concept Sketches. In Special Interest Group on Computer Graphics and Interactive Techniques Conference Proceedings (SIGGRAPH’22 Conference Proceedings), August 7–11, 2022, Vancouver, BC, Canada. ACM, New York, NY, USA, 8 pages. [https:](https:)//[doi.org/10.1145/3528233.3530723](doi.org/10.1145/3528233.3530723)  \n1 INTRODUCTION  \nConcept sketches are commonly used in industrial design, both to explore 3D shape ideas during the design process itself and to communicate these ideas to c","cbCaim9ih7n9qya2","https://ap.wps.com/l/cbCaim9ih7n9qya2","pdf",9912921,"English","# Abstract\n# Introduction\n## Symmetry as a key element in concept sketches\n## Challenges from approximate and cluttered strokes\n## Construction lines as symmetric scaffolds","[{\"question\":\"What is the core idea of the proposed method?\",\"answer\":\"The method lifts concept sketches to 3D by leveraging axis-aligned reflective symmetries and locally symmetric building blocks defined by triplets of orthogonal symmetry planes.\"},{\"question\":\"How are building blocks identified in the sketches?\",\"answer\":\"Potential building blocks are identified using a combination of 2D symmetries and the drawing order present in the sketch.\"},{\"question\":\"How does the method decide which stroke correspondences to use?\",\"answer\":\"Reconstruction is cast as an integer programming problem that selects the subset of candidate symmetry correspondences yielding the most symmetric and well-connected shape.\"}]","Symmetry-driven 3D Reconstruction from Concept Sketches - Paper | PDF",1792823847]