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However, many existing techniques are too slow for real-time interactive display. This paper introduces a line art rendering method for freeform polynomial and rational surfaces that supports real-time interaction. By preprocessing with an a-priori construction and classification of stroke primitives, the approach reduces computational cost and enables responsive sketch-based line art display.",{"@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/interactive-line-art-rendering-of-freeform-surfaces/664178/",{"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/interactive-line-art-rendering-of-freeform-surfaces/664178.png","ImageObject",300,407,{"name":92,"@type":93},"The UK Girl","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What problem does this paper target in sketch-based line art rendering?","Question",{"text":112,"@type":113},"Existing sketch-based techniques are often too slow to be used in real-time interactive displays.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What surfaces does the proposed method support?",{"text":117,"@type":113},"The method targets freeform polynomial and rational surfaces.",{"name":119,"@type":110,"acceptedAnswer":120},"How does preprocessing help achieve real-time interactive display?",{"text":121,"@type":113},"It constructs and classifies line art strokes a priori, significantly alleviating the computational cost during sketch-based rendering.","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},664178,1793242351,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":41},2199028711991,"https://us-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","EUROGRAPHICS ’99 / P. Brunet and R. Scopigno (Guest Editors)  \nVolume 18 (1999), Number 3  \nInteractive Line Art Rendering  \nof  \nFreeform Surfaces  \nGershon Elber  \nComputer Science Department  \nTechnion Haifa 32000, Israel Email: [gershon@cs.technion.ac.il](gershon@cs.technion.ac.il)  \nAbstract  \nIn recent years, synthetically created line art renderingshave reached quality levels that are aesthetically pleasing. Moreover, the sketch based approach wasfound to be quite capable at conveying geometrical information in an intuitive manner. While a growing interest in this type of rendering method has yielded successful and appealing results, the developed techniques were,for the most part, too slow to be embedded in real time interactive display. This paper presents a line art rendering method for freeform polynomial and rational surfaces that is capable of achieving real time and interactive display. A careful preprocessing stage that combines an a-priori construction of line art strokes with proper classiﬁcation of these strokes, allows one to signiﬁcantly alleviate the computational cost, in real time, of the sketch based rendering, and enables interactive line art display.  \nKey Words: Sketches, Illustrations, Line Art Drawings, Freeform Surfaces, NURBS, Surface Coverage, Real Time, Interaction.  \n1. Introduction  \nIn recent years, line art renderings have captured signiﬁcant attention as a non photo-realistic rendering scheme that is highly aesthetic. Moreover, this rendering scheme is capable of augmenting existing shaded rendering techniques by depicting additional visual information. For example, Figure 1 (a) shows a traditional wireframe drawing that is based on isoparametric curves whereas Figure 1 (b) shows the same light–mill model using a line art drawing whereas Figure 1 (c) combines the traditional wireframe drawing style with the line art style. It is quite clear that two line art drawings in Figures 1 (b) and (c) are more pleasing and appear less computer oriented. As such, it is likely to be less intimidating as a ﬁgure in general purpose books.  \nLine rendering as an art goes a long way back. In classic wood carving and art 11 􀀀 17 􀀀 18 , one ﬁnds that line art rendering  \nplayed a major role. See, for example, the renaissance artist Albrecht Dürer.  \nTraditionally, line rendering has been mostly seen, in computer graphics, as a simple interactive display method. More recently, line rendering was exploited as a tool to augment synthetic shaded imagery as well as self sustaining aesthetic and artistic line art drawings.  \nIn 3 􀀀 4 , steps were made toward the use of different line styles, such as line width or dashed or dotted line styles, to convey different levels of occlusions, for both line and shaded drawings. In 20 , ray tracing and various texture mapping based techniques are employed to hatch three dimensional models, by thresholding the result. In 6 , line art drawings were similarly created exploiting haloed lines, introduced to computer graphics in 1 􀀀 9 , and depth cueing using line width and gray levels.  \n✁c The Eurographics Association and Blackwell Publishers 1999. Published by Blackwell Publishers, 108 Cowley Road, Oxford OX4 1JF, UK and 350 Main Street, Malden, MA  \nElber / Interactive Line Art Rendering  \n(a) (b) (c)  \nFigure 1: A model of a light–mill. In (a), the model is displayed using traditional wireframe drawings that is based on isoparametric curves, giving the drawing a computer oriented look. In (b), the same geometric model is rendered using line art drawings, resulting in a potentially less intimidating drawing for novice readers that better ﬁts the drawing style in general purpose books. (c) is a combination of the ﬁrst two.  \nThe derivation ofa line art illustration directly from a two dimensional image was also explored in the image processing as well as the computer graphics communities. In 23 , a system inspired by Dürer’s drawings, denoted DigiDürer, has been developed to c","cbCaiaySIDdzzapr","https://ap.wps.com/l/cbCaiaySIDdzzapr","pdf",3636974,12,"English","# Introduction\n## Related work and motivation\n## Line art rendering on freeform surfaces","[{\"question\":\"What problem does this paper target in sketch-based line art rendering?\",\"answer\":\"Existing sketch-based techniques are often too slow to be used in real-time interactive displays.\"},{\"question\":\"What surfaces does the proposed method support?\",\"answer\":\"The method targets freeform polynomial and rational surfaces.\"},{\"question\":\"How does preprocessing help achieve real-time interactive display?\",\"answer\":\"It constructs and classifies line art strokes a priori, significantly alleviating the computational cost during sketch-based rendering.\"}]","Interactive Line Art Rendering - of Freeform Surfaces | PDF"]