Sur une propriété du cône de révolution
Surface normals and barycentric coordinates.
Surfaces of characteristic curvature
Surfaces of Constant Mean Curvature Which Have a Simple Projection.
Surfaces of Prescribed Mean Curvature with Inequalities on the Boundary.
Surfaces which contain many circles
We survey the results on surfaces which contain many circles. First, we give two analyses of shapes which always look round. Then we introduce the Blum conjecture: “A closed surface in E³ which contains seven circles through each point is a sphere”, and give some partial affirmative results toward the conjecture. Moreover, we study some surfaces which contain many circles through each point, for example, cyclides.
Surfaces with Parallel Normalized Mean Curvature Vector.
Surfaces with prescribed Weingarten operator
We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
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.