{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/81767"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/81767","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Dynamic Modeling With Implicit Surfaces and Polygonal Meshes","abstract":"\"Morse theory reveals the topological structure of a shape based on the critical points of a real function over the shape. This thesis solves a relaxed form of Laplace's equation to find a \"\"fair\"\" Morse function with a user-controlled number and configuration of critical points.\"","abstract_html":"&quot;Morse theory reveals the topological structure of a shape based on the critical points of a real function over the shape. This thesis solves a relaxed form of Laplace&#x27;s equation to find a &quot;&quot;fair&quot;&quot; Morse function with a user-controlled number and configuration of critical points.&quot;","abstract_has_math":false,"creators":["Ni, Xinlai"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Computer Science","degree_department":null,"school":null,"contributors":["Hart, John C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:20:22Z","date_published":"2015-09-25T20:20:22Z","updated_at":"2026-07-22T22:26:16Z","subjects":["Computer Science"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3269993"],"render_values":[{"text":"(MiAaPQ)AAI3269993","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/81767","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hart, John C."]},{"key":"dc:creator","label":"Author","values":["Ni, Xinlai"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:20:22Z","10000-01-01","2007"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Computer Science"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Computer Science"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/81767","(MiAaPQ)AAI3269993"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"Morse theory reveals the topological structure of a shape based on the critical points of a real function over the shape. This thesis solves a relaxed form of Laplace's equation to find a \"\"fair\"\" Morse function with a user-controlled number and configuration of critical points.\"","Made available in DSpace on 2015-09-25T20:20:22Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3269993.pdf: 2436792 bytes, checksum: cda086a1ddd94e074f593fac3c33ab1f (MD5) Previous issue date: 2007","Embargo set by: Seth Robbins for item 83048 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","69 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007."]},{"key":"dc:title","label":"Title","values":["Dynamic Modeling With Implicit Surfaces and Polygonal Meshes"]}]}],"canonical_facts":{"dc:contributor":["Hart, John C."],"dc:creator":["Ni, Xinlai"],"dc:date":["2015-09-25T20:20:22Z","10000-01-01","2007"],"dc:description":["\"Morse theory reveals the topological structure of a shape based on the critical points of a real function over the shape. This thesis solves a relaxed form of Laplace's equation to find a \"\"fair\"\" Morse function with a user-controlled number and configuration of critical points.\"","Made available in DSpace on 2015-09-25T20:20:22Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3269993.pdf: 2436792 bytes, checksum: cda086a1ddd94e074f593fac3c33ab1f (MD5) Previous issue date: 2007","Embargo set by: Seth Robbins for item 83048 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","69 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007."],"dc:identifier":["http://hdl.handle.net/2142/81767","(MiAaPQ)AAI3269993"],"dc:language":["eng"],"dc:subject":["Computer Science"],"dc:title":["Dynamic Modeling With Implicit Surfaces and Polygonal Meshes"],"dc:type":["text"],"thesis:degree_discipline":["Computer Science"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:16Z"}