Weighting in Laplacian Mesh Editing

Autor: Uwe Hahne
Betreuer: Prof. Dr. Charles A. Wüthrich

This diploma thesis has been created in cooperation with DaimlerChrysler.
A software has been developed that supports the assembly simulations performed
by design engineers. An assembly simulation examines the collision of units. These
virtual units are presented as triangular meshes and they are currently solid and
undeformable in contrast to real world objects. This software simulates the natural
solidness of the units by allowing to deform the virtual objects in a natural manner.
To do this, a Laplacian mesh editing scheme has been implemented. Laplacian mesh
editing allows to deform 3D objects while their surface details are preserved. Detail
preservation is an important feature because it allows the simulation of realistic

The thesis focuses on examining the effects of different weighting schemes for a
Laplacian mesh editing method. This method supports the assembly simulation which
is performed during the phase of construction in automotive design. Thus, it has been
adapted to the special requirements of such an application by the use of different
weights. The deformations are computed by the help of a minimisation method.
The present work describes the usage of alternative weights within these
minimisation and its effects. In addition, an automatic weighting method has been
developed that allows rapid editing tasks.