Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve.
Thaw: a tool for approximating cut loci on a triangulation of a surface.
The analytic Carathéodory conjecture.
The Bend of Bernstein Polynomials.
The catenary (almost) everywhere.
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The Curvature of Most Convex Surfaces Vanishes Almost Everywhwere.
The curvatures of certain surfaces of translation
The development of the oloid.
The differential properties of one class of surfaces in Euclidean space.
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two.
The geodesic curvature and geodesic torsion of the intersection curve of two surfaces.
The Nash-Kuiper process for curves
A strictly short embedding is an embedding of a Riemannian manifold into an Euclidean space that strictly shortens distances. From such an embedding, the Nash-Kuiper process builds a sequence of maps converging toward an isometric embedding. In that paper, we describe this Nash-Kuiper process in the case of curves. We state an explicit formula for the limit normal map and perform its Fourier series expansion. We then adress the question of Holder regularity of the limit map.
The pedal surfaces of -congruences with a one-parameter set of ellipses.
The problem of regular isometric embeddings and the Monge-Ampère equation of hyperbolic type
The restriction of the Fourier transform to some curves and surfaces
The satellite kinematics in Bolyai-Lobachevsky geometry in elementary geometrical representation. (Die Satellit-Kinematik in der Bolyai-Lobatschefskyschen Geometrie in elementar-geometrischer Behandlung.)
The size of the shadow boundary pojection.
Théorème concernant les surfaces dont les rayons de courbure principaux sont liés par une relation
Théorie des courbes gauches