… [2005] used to embed the user drawn sketches into the mesh, we show that in our framework
all triangles can be optimized at the same time (Section 5). Figure 3 shows that fixing only a …

… Laplacian processing framework. This framework is based on linear operators defined on
polygonal meshes… as shape approximation and compact representation, mesh editing, filtering, …

… We conclude that these techniques may generate higher-quality meshes than either Laplacian
or optimizationbased smoothing used alone. In contrast, the C3 approach had a relatively …

… The model is then automatically deformed by a Laplacian mesh optimization scheme until
it precisely delineates the patient’s liver. A correction tool was implemented to allow the user …

… mesh, this method can be adapted for trajectories as well. The contribution of this paper is the
adaption of Laplacian mesh optimization … large, a novel optimization approach is presented…

… Smoothing (also referred to as mesh relaxation) is one such … , an overall mesh smoothing
scheme is presented for meshes … Laplacian smoothing together with an optimization-based …

… appear in stretch-based mesh manipulation [20], which incorporates the mesh quality
metrics into the formulation. In our work, the Laplacian mesh optimization is directly used as a …

… This is also an issue in some other mesh optimization approaches based on local Laplacian
operators. We do not try to solve this issue in our approach. Actually, there are very few fold-…

… compared to other algorithms, such as constrained Laplacian smoothing, it is also slower than
… of calls to optimization-based smoothing such that the highest quality mesh is obtained in …

… Results indicate that the new method not only yields better quality elements when compared
with the traditional Laplacian smoothing, but also guarantees a valid mesh unlike the …