51 citations · 93 across the 7 of their papers we have counts for
7 papers
Foldover-free maps in 50 lines of code
Vladimir Garanzha, Igor Kaporin, Liudmila Kudryavtseva +3
Mapping a triangulated surface to 2D space (or a tetrahedral mesh to 3D space) is the most fundamental problem in geometry processing.In computational physics, untangling plays an…
Anti-aliasing for fused filament deposition
Hai-Chuan Song, Nicolas Ray, Dmitry Sokolov +1
Layered manufacturing inherently suffers from staircase defects along surfaces that are gently slopped with respect to the build direction. Reducing the slice thickness improves th…
Illustration of iterative linear solver behavior on simple 1D and 2D problems
Nicolas Ray, Sokolov Dmitry
In geometry processing, numerical optimization methods often involve solving sparse linear systems of equations. These linear systems have a structure that strongly resembles to ad…
Inappropriate use of L-BFGS, Illustrated on frame field design
Nicolas Ray, Dmitry Sokolov
L-BFGS is a hill climbing method that is guarantied to converge only for convex problems. In computer graphics, it is often used as a black box solver for a more general class of n…
On Smooth 3D Frame Field Design
Nicolas Ray, Dmitry Sokolov
We analyze actual methods that generate smooth frame fields both in 2D and in 3D. We formalize the 2D problem by representing frames as functions (as it was done in 3D), and show t…
Tracing cross-free polylines oriented by a N-symmetry direction field on triangulated surfaces
Nicolas Ray, Dmitry Sokolov
We propose an algorithm for tracing polylines on a triangle mesh such that: they are aligned with a N-symmetry direction field, and two such polylines cannot cross or merge. This p…