Nadia Benbernou Patricia Cahn Joseph O'Rourke We define a notion for unfolding smooth, ruled surfaces, and prove that every smooth prismatoid (the convex hull of two smooth ...
Principal curves have been defined as "self consistent" smooth curves which pass through the "middle" of a d-dimensional probability distribution or data cloud...
In some applications objects are known to have nonsmooth or “jagged” edges, which are not well approximated by smooth curves. We use subdivision curves as a simple but flexib...
This work proposes a scheme for multi–resolution representation of union of balls in the plane. This representation is inspired by curvature motion for smooth curves. More precis...
Thomas Lewiner, Cynthia O. L. Ferreira, Marcos Cra...
Defining sharp features in a given 3D model facilitates a better understanding of the surface and aids visualizations, reverse engineering, filtering, simplification, non-photo...
Joel Daniels II, Linh K. Ha, Tilo Ochotta, Cl&aacu...
We propose an algorithm to find piecewise linear skeletons of hand-written characters by using principal curves. The development of the method was inspired by the apparent similar...
This article examines projectively-invariant local geometric properties of smooth curves and surfaces. Oriented projective differential geometry is proposed as a general framework ...