MPI für Informatik / Computer Graphics Group |
|Differential Coordinates for Interactive Mesh Editing|
|Authors:||Lipman, Yaron; Sorkine, Olga; Cohen-Or, Daniel; Levin, David; Rössl, Christian; Seidel, Hans-Peter|
|Editors:||Giannini, Franca; Pasko, Alexander|
|Place of Publication:||Los Alamitos, USA|
|Date of Publication (YYYY-MM-DD):||2004|
|Title of Proceedings:||Shape Modeling International 2004 (SMI 2004)|
|Place of Conference/Meeting:||Genova, Italy|
|(Start) Date of Conference/Meeting|
|Intended Educational Use:||No|
|Abstract / Description:||One of the main challenges in editing a mesh is to retain the visual appearance |
of the surface after applying various modifications. In this paper we advocate
the use of linear differential coordinates as means to preserve the
high-frequency detail of the surface. The differential coordinates represent
the details and are defined by a linear transformation of the mesh vertices.
This allows the reconstruction of the edited surface by solving a linear system
that satisfies the reconstruction of the local details in least squares sense.
Since the differential coordinates are defined in a global coordinate system
they are not rotation-invariant. To compensate for that, we rotate them to
agree with the rotation of an approximated local frame. We show that the linear
least squares system can be solved fast enough to guarantee interactive
response time thanks to a precomputed factorization of the coefficient matrix.
We demonstrate that our approach enables to edit complex detailed meshes while
keeping the shape of the details in their natural orientation.
|Last Change of the Resource (YYYY-MM-DD):||2005-04-27|
|External Publication Status:||published|
|Communicated by:||Hans-Peter Seidel|
|Affiliations:||MPI für Informatik/Computer Graphics Group|
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|editingSMI.pdf [13,00 Mb] [Comment:file from upload service] |