Parameterization of closed surfaces for parametric surfacedescription
Quicken, M.
Brechbuhler, C.
Hug, J.
Blattmann, H.
Szekely, G.
Commun. Technol. Lab., Swiss Fed. Inst. of Technol., Zurich;
This paper appears in: Computer Vision and Pattern Recognition, 2000. Proceedings. IEEE Conference on
Publication Date: 2000
Volume: 1,
On page(s): 354-360 vol.1
Meeting Date: 06/13/2000 - 06/15/2000
Location: Hilton Head Island, SC, USA
ISBN: 0-7695-0662-3
References Cited: 17
INSPEC Accession Number: 6651655
Digital Object Identifier: 10.1109/CVPR.2000.855840
Current Version Published: 2002-08-06
Abstract
A procedure for the parameterization of surface meshes of objects
with spherical topology is presented. The generation of such a
parameterisation has been formulated and solved as a large constrained
optimization problem by C. Brechbuhler (1995), but the convergence of
this algorithm becomes unstable for object meshes consisting of several
thousand vertices. We propose a new more stable algorithm to overcome
this problem using multi-resolution meshes. A triangular mesh is mapped
to a sphere by harmonic mapping. Next, a mesh hierarchy is constructed.
The coarsest level is then optimized using a modification of the
original procedure to map object surfaces to the unit sphere. The result
is used as a starting point for the mapping of the next finer mesh, a
process which is repeated until the final result is obtained. The new
approach is compared to the original one and some parameterized object
surfaces are presented
Index
Terms
Available to subscribers and IEEE members.
References
Available to subscribers and IEEE members.
Citing Documents
Available to subscribers and IEEE members.
Cart
