Sketch-Based Editing and Optimization of Triangle Meshes

surface meshes by means of view-dependent sketching. In most
existing shape deformation work, editing is carried out by selecting
and moving a handle, usually a set of vertices. Our system lets
the user easily determine the handle, either by silhouette selection
and cropping, or by sketching directly onto the surface.
Subsequently, an edit is carried out by sketching a new, view-
dependent handle position or by indirectly influencing differential
properties along the sketch.

In the second part I will present a related framework for triangle
shape optimization and feature preserving smoothing of triangular
meshes that is guided by the vertex Laplacians. Vertices are
relocated so that they approximate prescribed Laplacians and
positions in a weighted least-squares sense. I will discuss
different weighting schemes and demonstrate the effectiveness
of the framework on a number of detailed and highly irregular
meshes; the technique successfully improves the quality of
the triangulation while remaining faithful to the original surface
geometry, and it is also capable of smoothing the surface while
preserving geometric features.