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Explain the idea of Laplace Reconstruction / Laplace Editing!
The global shape of a mesh is encoded in its positions 
.
The local shape of a mesh is encoded in its Laplace vectors
.
Given all Laplace vectors of a mesh, we can reconstruct a global shape 
from the local shape:
We need to fix one intial vertex position
and solve for the remaining variables .
We can also use this as an editing metaphor by letting the user prescribe desired positions
for certain vertices 
. Incorporating this into the minimization formula gives
Additionally, we need to allow rotations of the detail vectors:
.The local shape of a mesh is encoded in its Laplace vectors
.Given all Laplace vectors
of a mesh, we can reconstruct a global shape from the local shape:We need to fix one intial vertex position
and solve for the remaining variables .We can also use this as an editing metaphor by letting the user prescribe desired positions
for certain vertices . Incorporating this into the minimization formula givesAdditionally, we need to allow rotations of the detail vectors:
Karteninfo:
Autor: janisborn
Oberthema: Informatik
Thema: Computergrafik
Schule / Uni: RWTH Aachen
Ort: Aachen
Veröffentlicht: 18.05.2022