Fixed-angle polygonal chains in 3D serve as an interesting model of protein backbones. Here we consider such chains produced inside a “machine” modeled crudely as a cone, and e...
Erik D. Demaine, Stefan Langerman, Joseph O'Rourke
A scheme is proposed based on an extension of Analytic Geometry to represent a composite curve either with a single equation or with two equations in the case of parametric repres...
We show that four of the five Platonic solids’ surfaces may be cut open with a Hamiltonian path along edges and unfolded to a polygonal net each of which can “zipper-refold...
Active contour and active polygon models have been used widely for image segmentation. In some applications, the topology of the object(s) to be detected from an image is known a ...
We introduce two fourth-order regularization methods that remove geometric noise without destroying significant geometric features. These methods leverage ideas from image denoisi...