2026-09-19T11:33:21Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/81802 2023-07-11 col_2142_5131 col_2142_10761 com_2142_5130 com_2142_10755 com_2142_234

Michael Garland Dong, Shen 2015-09-25T20:20:31Z 2015-09-25T20:20:31Z 10000-01-01 2007 2007 In the third part, we deal explicitly with the problem of surface parameterization. We present two complementary methods for automatically improving mesh parameterization, and demonstrate that they provide a desirable combination of efficiency and quality. First, we describe a new iterative method for constructing quasi-conformal parameterizations with free boundaries. We formulate the problem as fitting the coordinate gradients to two guidance vector fields of equal magnitude that are everywhere orthogonal. In only one linear step, our method efficiently generates parameterization with natural boundaries from those with convex boundaries. Next, we introduce a new non-linear optimization framework that, can rapidly reduce interior distortion under a variety of metrics. By iteratively solving linear systems, our algorithm converges to a high quality, low distortion parameterization in very few iterations. Made available in DSpace on 2015-09-25T20:20:31Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3301127.pdf: 2841892 bytes, checksum: 758c49ed795a44721c05b19b364991f5 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 83083 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 104 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/81802 (MiAaPQ)AAI3301127 eng Computer Science Quadrilateral Remeshing and Efficient Surface Parameterization text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.