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.
2023
Research Conversations with Shijie (Brandon) Bian
A former Autodesk intern shares his experiences and learnings…
2017
PhenoStacks: Cross-Sectional Cohort Phenotype Comparison Visualizations
Cross-sectional phenotype studies are used by genetics researchers to…
2015
Using a Systems Lens and Transaction Data to Visualize the Architecture of the Economy
We provide visualizations of the architecture of the economy that are…
2002
3D Freeform Design
Alternative input devices and new interaction paradigms can better…
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