Modifying 3D Models Through Interactive 2D Manipulations

@inproceedings{T1115caumon,
 abstract = { More than just visualization tools, cross-sections can be powerful tools to edit interactively 3D
models. In this paper, we consider the modification of 3D model surfaces through interactions in 2D
or in 2.5D (a dimension characterizing non-planar surfaces embedded in 3D space). We define rules
to state the effects topological modifications inside cross-sections have on the sliced 3D model. Another
aspect of the problem concerns geometrical interactions. Several ways to represent and modify
a line in an arbitrary 3D surface are described. The first approach, based on the parameterization of
the cross-section, may not be accurate for an arbitrary section, especially if the section is a closed
surface. The second approach uses the mesh topological information to represent and modify the line
given a few points. The problem of how to propagate such modifications back onto the 3D model is
then addressed, considering successively parameterization, discrete smooth interpolation, and sphere
of influence methods. },
 author = { Caumon, Guillaume AND Sword, Charles H. AND Mallet, Jean-Laurent },
 booktitle = { Proc. 20th Gocad Meeting, Nancy },
 title = { Modifying 3D Models Through Interactive 2D Manipulations },
 year = { 2000 }
}