{"id":14,"date":"2023-03-06T09:40:22","date_gmt":"2023-03-06T14:40:22","guid":{"rendered":"https:\/\/sites.nd.edu\/caroline-hills\/?page_id=14"},"modified":"2024-11-04T09:19:49","modified_gmt":"2024-11-04T14:19:49","slug":"publications-and-preprints","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/caroline-hills\/publications-and-preprints\/","title":{"rendered":"Publications and Preprints"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p>Dissertation: A Study of Singularities in Homotopy Continuation for Kinematic Applications, DOI: <a href=\"https:\/\/8wr2pfwi.r.us-east-1.awstrack.me\/L0\/https:%2F%2Fdoi.org%2F10.7274%2F27569475\/1\/01000192f7733a0c-33670a66-8b45-4707-a978-d3a45c526398-000000\/eej4vFWsaWoSMnZZ0fmOxzsdfzo=398\" target=\"_blank\" rel=\"noreferrer noopener\">10.7274\/27569475<\/a><\/p>\n\n\n\n<p>[7] Andrew J. Sommese, Jonathan D. Hauenstein, Caroline Hills, and Charles W. Wampler,<br>Branch points of homotopies, Part II: Enumeration and general theory&nbsp;(<a href=\"https:\/\/www3.nd.edu\/~jhauenst\/preprints\/shhwBranchPointsII.pdf\">pdf<\/a>)<\/p>\n\n\n\n<p>[6] Jonathan D. Hauenstein, Caroline Hills, Andrew J. Sommese, and Charles W. Wampler,<br>Branch points of homotopies, Part I: Distribution and probability of failure. (<a href=\"https:\/\/www3.nd.edu\/~jhauenst\/preprints\/hhswBranchPointsI.pdf\">pdf<\/a>)<\/p>\n\n\n\n<p>[5]Taylor Brysiewicz, Jonathan D. Hauenstein, and <strong>Caroline Hills.<\/strong> Max-convolution through numerics and tropical&nbsp;geometry.&nbsp;<em>Numer Algor<\/em>&nbsp;(2023). https:\/\/doi.org\/10.1007\/s11075-023-01668-w<\/p>\n\n\n\n<p>[4] <strong>Caroline Hills<\/strong>, Aravind Baskar, Mark Plecnik, and Jonathan D. Hauenstein,<br>Computing complete solution sets for approximate four-bar path synthesis.  <em>Mechanism and Machine Theory<\/em>, 196, 105628, 2024. https:\/\/doi.org\/10.1016\/j.mechmachtheory.2024.105628.<\/p>\n\n\n\n<p>[3] Jonathan D. Hauenstein, Alan Huebner, John P. Wagle, Emma R. Cobian, Joseph Cummings,<strong> Caroline Hills<\/strong>, Megan McGinty, Mandy Merritt, Sam Rosengarten, Kyle Skinner, Michael Szemborski, Leigh Wojtkiewicz,<br>Assessing reliability of movement screenings using a markerless motion capture system (<a rel=\"noreferrer noopener\" href=\"https:\/\/www3.nd.edu\/~jhauenst\/preprints\/hhwcchmmrsswMarkerlessMotionCapture.pdf\" data-type=\"URL\" data-id=\"https:\/\/www3.nd.edu\/~jhauenst\/preprints\/hhwcchmmrsswMarkerlessMotionCapture.pdf\" target=\"_blank\">pdf<\/a>). A version of this article will appear in <em>Orthopaediac Journal of Sports Medicine.<\/em><\/p>\n\n\n\n<p>[2] Parker B. Edwards, Aravind Baskar, <strong>Caroline Hills<\/strong>, Mark Plecnik, and Jonathan D. Hauenstein,<br>&#8220;Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner,&#8221;&nbsp;<em>2023 IEEE International Conference on Robotics and Automation (ICRA)<\/em>, London, United Kingdom, 2023, pp. 9735-9741, doi: 10.1109\/ICRA48891.2023.10160891. <\/p>\n\n\n\n<p>[1] Baskar, A, <strong>Hills, C<\/strong>, Plecnik, M, and Hauenstein, JD. &#8220;Estimating the Complete Solution Set of the Approximate Path Synthesis Problem for Four-Bar Linkages Using Random Monodromy Loops.&#8221;&nbsp;<em>Proceedings of the ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference<\/em>.&nbsp;<em>Volume 7: 46th Mechanisms and Robotics Conference (MR)<\/em>. St. Louis, Missouri, USA. August 14\u201317, 2022. V007T07A026. ASME.&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1115\/DETC2022-90402\" target=\"_blank\">https:\/\/doi.org\/10.1115\/DETC2022-90402<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dissertation: A Study of Singularities in Homotopy Continuation for Kinematic Applications, DOI: 10.7274\/27569475 [7] Andrew J. Sommese, Jonathan D. Hauenstein, Caroline Hills, and Charles W. Wampler,Branch points of homotopies, Part II: Enumeration and general theory&nbsp;(pdf) [6] Jonathan D. Hauenstein, Caroline Hills, Andrew J. Sommese, and Charles W. Wampler,Branch points of homotopies, Part I: Distribution and &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/sites.nd.edu\/caroline-hills\/publications-and-preprints\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Publications and Preprints&#8221;<\/span><\/a><\/p>\n","protected":false},"author":4486,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/users\/4486"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":14,"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":110,"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/pages\/14\/revisions\/110"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/caroline-hills\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}