Publications related to Third derivative

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Michaël Unser, Shayan Aziznejad, Joaquim Gonçalves Garcia Barreto Campos

We develop a novel 2D functional learning framework that employs a sparsity-promoting regularization based on second-order derivatives. Motivated by the nature of the regularizer, we restrict the search space to the span of piecewise-linear box splines shi ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Differentiable Signed Distance Function Rendering

Wenzel Alban Jakob, Delio Aleardo Vicini, Sébastien Nicolas Speierer

Physically-based differentiable rendering has recently emerged as an attractive new technique for solving inverse problems that recover complete 3D scene representations from images. The inversion of shape parameters is of particular interest but also pose ...

ASSOC COMPUTING MACHINERY2022

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to non-rigid structure-from-motion that only requires the deforming surface to preserve its differential structure. This is a much weaker assumption than the traditional ones of isometry or conformality. We show that it is neve ...

IEEE2020

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to the non-rigid structure-from-motion problem that only requires the deforming surface to meaning that its differential structure is preserved. This is a much weaker assumption than the traditional ones of isometry or conforma ...

2020

Computation of "Best" Interpolants in the Lp Sense

Michaël Unser, Pakshal Narendra Bohra

We study a variant of the interpolation problem where the continuously defined solution is regularized by minimizing the L p -norm of its second-order derivative. For this continuous-domain problem, we propose an exact discretization scheme that restricts ...

2020

COMPUTATION OF "BEST" INTERPOLANTS IN THE L-p SENSE

Michaël Unser, Pakshal Narendra Bohra

We study a variant of the interpolation problem where the continuously defined solution is regularized by minimizing the L-p-norm of its second-order derivative. For this continuous-domain problem, we propose an exact discretization scheme that restricts t ...

IEEE2020

Optimal Spline Generators for Derivative Sampling

Michaël Unser, Shayan Aziznejad, Alireza Naderi

The goal of derivative sampling is to reconstruct a signal from the samples of the function and of its first-order derivative. In this paper, we consider this problem over a shift-invariant reconstruction subspace generated by two compact-support functions ...

IEEE2019

Discontinuous Galerkin method for fractional convection-diffusion equations

Jan Sickmann Hesthaven

We propose a discontinuous Galerkin method for convection-subdiffusion equations with a fractional operator of order alpha [1,2] defined through the fractional Laplacian. The fractional operator of order alpha is expressed as a composite of first order der ...

Society for Industrial and Applied Mathematics2014

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Third derivative

Extension, validation, and optimization of Serpent/DYN3D/ATHLET code system for SFR applications

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Differentiable Signed Distance Function Rendering

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Computation of "Best" Interpolants in the Lp Sense

COMPUTATION OF "BEST" INTERPOLANTS IN THE L-p SENSE

Optimal Spline Generators for Derivative Sampling

Discontinuous Galerkin method for fractional convection-diffusion equations

Droplet activation parameterization: The population-splitting concept revisited

Graph Chatbot

Chat with Graph Search

Extension, validation, and optimization of Serpent/DYN3D/ATHLET code system for SFR applications

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

COMPUTATION OF "BEST" INTERPOLANTS IN THE L-p SENSE

Differentiable Signed Distance Function Rendering

Computation of "Best" Interpolants in the Lp Sense

Discontinuous Galerkin method for fractional convection-diffusion equations

Optimal Spline Generators for Derivative Sampling

Droplet activation parameterization: The population-splitting concept revisited