Journal of Computational Physics
Symbolic computation of multidimensional Fenchel conjugates
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
New sequential exact Euclidean distance transform algorithms based on convex analysis
Image and Vision Computing
The piecewise linear-quadratic model for computational convex analysis
Computational Optimization and Applications
The Legendre-Fenchel Conjugate of the Product of Two Positive Definite Quadratic Forms
SIAM Journal on Matrix Analysis and Applications
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We are interested in the study of a fast algorithm introduced by Brenier computing the discrete Legendre--Fenchel transform of a real function. We present convergence results and show how the order of convergence grows with the regularity of the function to be transformed. Applications to Hamilton--Jacobi equations for front propagation problems and conservation laws are presented.