4 papers
Vakonomic Fluids
Ritoban Roy-Chowdhury, Mohammad Sina Nabizadeh, Oliver Gross +2
We introduce a novel discretization of the incompressible Euler equations based on their interpretation as geodesic equations on the Lie group of volume-preserving diffeomorphisms.…
Tangent Blow-Ups for Processing Non-Manifold Geometry
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik +1
Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, ro…
Learning Orthonormal Bases for Function Spaces
Hamidreza Kamkari, Mohammad Sina Nabizadeh, Justin Solomon
Infinite-dimensional orthonormal basis expansions play a central role in representing and computing with function spaces due to their favorable linear algebraic properties. However…
Fluid Implicit Particles on Coadjoint Orbits
Mohammad Sina Nabizadeh, Ritoban Roy-Chowdhury, Hang Yin +2
We propose Coadjoint Orbit FLIP (CO-FLIP), a high order accurate, structure preserving fluid simulation method in the hybrid Eulerian-Lagrangian framework. We start with a Hamilton…