Publication
A gluing construction for prescribed mean curvature
AbstractThe gluing technique is used to construct hypersurfaces in Euclidean space having approximately constant prescribed mean curvature. These surfaces are perturbations of unions of finitely many spheres of the same radius assembled end-to-end along a line segment. The condition on the existence of these hypersurfaces is the vanishing of the sum of certain integral moments of the spheres with respect to the prescribed mean curvature function.
Download publicationRelated Resources
See what’s new.
2024
Exploring Opportunities for Adopting Generative AI in Automotive Conceptual DesignThis research discusses opportunities for adopting generative AI in…
2024
XLB: A Differentiable Massively Parallel Lattice Boltzmann Library in PythonThis research introduces the XLB library, a scalable Python-based…
2001
A Unified Subdivision Scheme for Polygonal ModelingSubdivision rules have traditionally been designed to generate smooth…
2010
BIM-based Building Performance MonitorThis video presents a set of visualization techniques for displaying…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us