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Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches

Xuefu Wang, Fuhua (Frank) Cheng, Brian A. Barsky
<span title="">1999</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/sl7g43a53farbgnszuvagjd5jm" style="color: black;">Proceedings of the fifth ACM symposium on Solid modeling and applications - SMA &#39;99</a> </i> &nbsp;
framed by the network curves with n-sided Varady patches.  ...  The new approach treats all these problems as a surface fitting problem by first restructuring the given mesh to obtain a new mesh suitable for network curves construction, and then filling all the holes  ...  This work was supported in part by NSF DMI-9400823( "New Computation Techniques for Shape Modeling and Design"). Travel support for the first author was provided by Softimage Co.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/304012.304034">doi:10.1145/304012.304034</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/sma/WangCB99.html">dblp:conf/sma/WangCB99</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dsk7bjszzzdk7bzwj5xwx6tddi">fatcat:dsk7bjszzzdk7bzwj5xwx6tddi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20040716043322/http://www.mmrc.iss.ac.cn:80/~mli/CAGD/Mesh/Wang_N-sided_Varady.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/db/e8/dbe8d4da5af770d5598aed98aac85a8f8c66bbd8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/304012.304034"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

High quality local interpolation by composite parametric surfaces [article]

Michele Antonelli, Carolina Vittoria Beccari, Giulio Casciola
<span title="2016-01-07">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Moreover, in mesh regions containing vertices of valence other than 4, we suitably define G1- or G2-continuous surface patches that join the neighboring regular ones.  ...  This particular structure, which we call an augmented parametrization, allows us to interpolate each section polyline of the mesh at parameters values that prevent wiggling of the resulting curve or other  ...  Acknowledgements This research was supported by the European Eurostars project NIIT4CAD http://eurostars.unibo.it/ and by the Italian INdAM National Group for Scientific Calculus (GNCS).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1601.01436v1">arXiv:1601.01436v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vpaaubuhezdcjodmrsjwcug2p4">fatcat:vpaaubuhezdcjodmrsjwcug2p4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200907032212/https://arxiv.org/pdf/1601.01436v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5a/83/5a8380e7ef14c4228ad02e6fc81b36144f48f2b3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1601.01436v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>