PDE Constrained Optimization for Digital Image Correlation
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- University of Minnesota, Minneapolis, MN (United States)
The purpose of this report is to investigate a partial differential equation (PDE) constrained optimization approach for estimating the velocity field given image data for use within digital image correlation (DIC). We first introduce the problem and the standard DIC approach and then demonstrate why the DIC problem is ill-posed and introduce a standard regularization of the problem. We also demonstrate that the functional used is sensitive and robust via a sequence of experiments given by a stochastic model inducing the PDE constraint.
- Research Organization:
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1494349
- Report Number(s):
- SAND--2015-8515; 672305
- Country of Publication:
- United States
- Language:
- English
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