Mesh Parameterization (Mesh Parameterization)

Description

Given any two surfaces with similar topology it is possible to compute a one-to-one and onto mapping between them. If one of these surfaces is represented by a triangular mesh, the problem of computing such a mapping is referred to as mesh parameterization.

Parameters

No parameters found.

Table of Algorithms

Name	Year	Time	Space	Approximation Factor	Model	Reference
ECK M.; DEROSE T.; DUCHAMP T.;	1995	$O(n^{2})$		Exact	Deterministic	Time
FLOATER	1997	$O(n^{2})$		Exact	Deterministic	Time
PINKALL U.; POLTHIER K	1993	$O(n^{2})$		Exact	Deterministic	Time
FLOATER	2003	$O(n^{2})$		Exact	Deterministic	Time
LEE Y.; KIM H. S.; LEE S	2002	$O(n \log^{3}n)$		Exact	Deterministic	Time
DESBRUN M.; MEYER M.; ALLIEZ P.	2002	$O(n^{2})$		Exact	Deterministic	Time
LÉVY B.; PETITJEAN S.; RAY N.; MAILLOT J	2002	$O(n \log^{2.5} n)$		Exact	Deterministic	Time
KARNI Z.; GOTSMAN C.; GORTLER S. J.	2005	$O(n^{2})$		Exact	Deterministic	Time
HORMANN K.; GREINER G	1999	$O(n^{2})$		Exact	Deterministic	Time
SHEFFER A.; DE STURLER E.	2000	$O(n^{2})$		Exact	Deterministic	Time
SHEFFER A.; LÉVY B.; MOGILNITSKY M.; BOGOMYAKOV A.	2005	$O(n^{2})$		Exact	Deterministic	Time
ZAYER R.; LÉVY B.; SEIDEL H.-P.	2007	$O(n)$		Exact	Deterministic	Time
SANDER P. V.; SNYDER J.; GORTER S. J.; HOPPE	2001	$O(n^{2})$		Exact	Deterministic	Time
YAN J. Q.; YANG X.; SHI P. F	2006	$O(n^{2})$		Exact	Deterministic
ZAYER R.; ROESSL C.; SEIDEL H.-P	2005	$O(n \log n)$		Exact	Deterministic	Time
YOSHIZAWA S.; BELYAEV A. G.; SEIDEL H.-P	2004	$O(n^{2})$		Exact	Deterministic	Time
CHEN Z. G.; LIU L. G.; ZHANG Z. Y.; WANG G. J.	2007	$O(n^{2})$		Exact	Deterministic	Time
YANG Y.; KIM J.; LUO F.; HU S.; GU X.	2008	$O(n \log\log n)$		Exact	Deterministic
BEN-CHEN M.; GOTSMAN C.; BUNIN G.	2008	$O(n \log^{2}n)$		Exact	Deterministic	Time
SPRINGBORN B.; SCHROEDER P.; PINKALL U.	2008	$O(n \log^{2}n)$		Exact	Deterministic	Time