In [1] Optimal Control methods over re-parametrization for curve and surface design were introduced. The advantage of Optimal Control over Global Minimization such as in [17] is t...
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if for every pair of points p = (x(p), y(p), z(p)) and q = (x(q), y(q), z(q)) on th...
The signed distance field of a surface can effectively support many geometry processing tasks such as decimation, smoothing, and Boolean operations since it provides efficient a...
Subdivision surfaces are generated by repeated approximation or interpolation from initial control meshes. In this paper, two new nonlinear subdivision schemes, face based subdivi...
The emergence of large-scale freeform shapes in architecture poses big challenges to the fabrication of such structures. A key problem is the approximation of the design surface b...
Michael Eigensatz, Martin Kilian, Alexander Schift...