Encoding Meshes in Differential Coordinates

Speaker:	Professor Daniel COHEN-OR
		School of Computer Science
		Tel-Aviv University

Title:		"Encoding Meshes in Differential Coordinates"

Date:		Monday, 16 October 2006

Time:		4:00 - 5:00pm

Venue:		Lecture Theatre F
		(Leung Yat Sing Lecture Theatre, near lift nos. 25/26)
		HKUST

Abstract:

Representing surfaces in local, rather than global, coordinate systems
proves to be useful for various geometry processing applications.  In
particular, we have been investigating surface representations based on
differential coordinates, constructed using the Laplacian operator and
discrete forms. Unlike global Cartesian coordinates, that only represent
the spatial locations of points on the surface, differential coordinates
capture the local surface details which greatly affect the shading of the
surface and thus its visual appearance. On polygonal meshes, differential
coordinates and the discrete mesh Laplacian operator provide an efficient
linear surface reconstruction framework suitable for various mesh
processing tasks.

In my talk I'll discuss the important properties of differential
coordinates and show their applications for surface reconstruction. In
particular, I'll discuss quantization of the differential coordinates,
Least-squares meshes and mesh editing.


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Biography:

Daniel Cohen-Or is a Professor at the School of Computer Science at
Tel-Aviv University. He received a B.Sc. in both Mathematics and Computer
Science (1985), a M.Sc. in Computer Science (1986) from Ben-Gurion
University, and a Ph.D. from the Department of Computer Science (1991) at
State University of New York at Stony Brook. His current research interest
includes, shape modeling, visibility, and image synthesis. He is the
recipient of the 2005 Eurographics Outstanding Technical Contributions
Award.