Configurationindependent merging. The goal is to merge the Mannequin head model (source) to the Venus model (target). The user only specifies the correspondence between the merging boundaries. In (a) and (b), the Mannequin head model has different positions, orientations and scales. Our configurationindependent merging method produces the same result (c), given the same boundary correspondence. The lines indicate two userspecified key correspondences. 

Abstract

Laplacian coordinates as a local shape
descriptor have been employed in mesh editing. As they are encoded in
the global coordinate system, they need to be transformed locally to
reflect the changed local features of the deformed surface. We present
a novel implicit Laplacian editing framework which is linear and
effectively captures local rotation information during editing.
Directly representing rotation with respect to vertex positions in 3D
space leads to a nonlinear system. Instead, we first compute the affine
transformations implicitly defined for all the Laplacian coordinates by
solving a large sparse linear system, and then extract the rotation and
uniform scaling information from each solved affine transformation.
Unlike existing differentialbased mesh editing techniques, our method
produces visually pleasing deformation results under large angle
rotations or bigscale translations of handles. Additionally, to
demonstrate the advantage of our editing framework, we introduce a new
intuitive editing technique, called configurationindependent merging,
which produces the same merging result independent of the relative
position, orientation, scale of input meshes.

Keywords

mesh editing, similarity invariant, Laplacian coordinates, configurationindependent, mesh deformation, mesh merging 
Paper


Examples


BibTeX

@ARTICLE{Fu:2007, author = {Hongbo Fu and Oscar K.C. Au and ChiewLan Tai}, title = {Effective derivation of similarity transformations for implicit {L}aplacian mesh editing}, journal = {Computer Graphics Forum}, year = {2007}, volume = {26}, pages = {3445}, number = {1}, } 