Discrete curvature approximations and segmentation of polyhedral surfaces

A substantial number of results in classical differential geometry charac- terize the spheres among the compact surfaces in the Euclidean three-dimen- sional space with

Theorem 1 There exists a complete, properly embedded minimal surface in euclidean space R 3 which has unbounded Gauss curvature.. It has infinite genus, infinitely many catenoid

Luigi Ambrosio, Jérôme Bertrand. ON THE REGULARITY OF ALEXANDROV SURFACES WITH CURVATURE BOUNDED BELOW. Analysis and Geometry in Metric Spaces, Versita, 2016.. CURVATURE BOUNDED

In section 3, we prove two properties for surfaces with B.I.C.: one result concerns the volume of balls (by analogy with the case of smooth Riemannian metrics, when one has a control

“We take pretty seriously that idea of taking people on,” he says, “because more often than not, we’re making some kind of, you know, not forever marriage, but a

We prove that the free boundary condition (1.2) 3 allows the surfaces u( · , t ) to adjust themselves conformally as t → ∞, so that global solutions to (1.2) sub-converge to

As already mentioned, the objective of this paper is to consider surfaces (with boundary) with corners on their boundary and to study the existence problem of conformal metrics

FUCHS, A general existence theorem for integral currents with prescribed mean curvature form, in Boll. FEDERGER, The singular set of area minimizing rectifiable