activity
20202023
most citedFTK: A Simplicial Spacetime Meshing Framework for Robust and Scalable Feature Tracking

16 citations · 16 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2023

Customizable Adaptive Regularization Techniques for B-Spline Modeling

David Lenz, Raine Yeh, Vijay Mahadevan +2

B-spline models are a powerful way to represent scientific data sets with a functional approximation. However, these models can suffer from spurious oscillations when the data to b…

math.NA2022

Parallel Domain Decomposition techniques applied to Multivariate Functional Approximation of discrete data

Vijay S. Mahadevan, David Lenz, Iulian Grindeanu +1

Compactly expressing large-scale datasets through Multivariate Functional Approximations (MFA) can be critically important for analysis and visualization to drive scientific discov…

cs.GR2022

MFA-DVR: Direct Volume Rendering of MFA Models

Jianxin Sun, David Lenz, Hongfeng Yu +1

3D volume rendering is widely used to reveal insightful intrinsic patterns of volumetric datasets across many domains. However, the complex structures and varying scales of volumet…

math.NA2022

Adaptive Regularization of B-Spline Models for Scientific Data

David Lenz, Raine Yeh, Vijay Mahadevan +2

B-spline models are a powerful way to represent scientific data sets with a functional approximation. However, these models can suffer from spurious oscillations when the data to b…

math.NA2021

Construction of 4D Simplex Space-Time Meshes for Local Bisection Schemes

David Lenz

Adaptive mesh refinement is a key component of efficient unstructured space-time finite element methods. Underlying any adaptive mesh refinement scheme is, of course, a method for…

math.NA2020

Fourier-Informed Knot Placement Schemes for B-Spline Approximation

David Lenz, Oana Marin, Vijay Mahadevan +2

Fitting B-splines to discrete data is especially challenging when the given data contain noise, jumps, or corners. Here, we describe how periodic data sets with these features can…