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J. Geom. Methods Mod. Phys.</a> <a href="/?q=in%3A438415" title="Articles in this Issue">16, No. 6, Article ID 1950093, 16 p. (2019)</a>. </div> <div class="abstract">Summary: This paper considers a kind of design of a ruled surface. The design interconnects some concepts from the fields of computer-aided geometric design (CAGD) and kinematics. Dual unit spherical Bézier-like curves on the dual unit sphere (DUS) are obtained by a novel method with respect to the control points. A dual unit spherical Bézier-like curve corresponds to a ruled surface by using Study’s transference principle and closed ruled surfaces are determined via control points and also, integral invariants of these surfaces are investigated. Finally, the results are illustrated by several examples and the motion interpolation was shown as an embodiment of this method.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7105171">Cited in <strong>7</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A53A25" title="MSC2020">53A25</a> </td> <td class="space"> Differential line geometry </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A53A17" title="MSC2020">53A17</a> </td> <td class="space"> Differential geometric aspects in kinematics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Akinematics">kinematics</a>; <a href="/?q=ut%3AB%C3%A9zier+curves">Bézier curves</a>; <a href="/?q=ut%3AE.+Study%27s+map">E. Study’s map</a>; <a href="/?q=ut%3Aspherical+interpolation">spherical interpolation</a></div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1423.53012" data-ciurl="/ci/07105171" data-biburl="/bibtex/07105171.bib" data-amsurl="/amsrefs/07105171.bib" data-xmlurl="/xml/07105171.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07105171.pdf" title="Zbl 1423.53012 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0219887819500932" aria-label="DOI for “A new approach to design the ruled surface”" title="10.1142/S0219887819500932">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1706.00267"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">McCarthy, J. 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