Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Surface reconstruction from sparse fringe contours

Conference ·
OSTI ID:779708
A new approach for reconstruction of 3D surfaces from 2D cross-sectional contours is presented. By using the so-called ''Equal Importance Criterion,'' we reconstruct the surface based on the assumption that every point in the region contributes equally to the surface reconstruction process. In this context, the problem is formulated in terms of a partial differential equation (PDE), and we show that the solution for dense contours can be efficiently derived from distance transform. In the case of sparse contours, we add a regularization term to insure smoothness in surface recovery. The proposed technique allows for surface recovery at any desired resolution. The main advantage of the proposed method is that inherent problems due to correspondence, tiling, and branching are avoided. Furthermore, the computed high resolution surface is better represented for subsequent geometric analysis. We present results on both synthetic and real data.
Research Organization:
Lawrence Berkeley National Lab., CA (US)
Sponsoring Organization:
USDOE Director, Office of Science. Office of Advanced Scientific Computing Research (US)
DOE Contract Number:
AC03-76SF00098
OSTI ID:
779708
Report Number(s):
LBNL--42163
Country of Publication:
United States
Language:
English

Similar Records

A mixed $\ell_1$ regularization approach for sparse simultaneous approximation of parameterized PDEs
Journal Article · Thu Jun 27 00:00:00 EDT 2019 · Mathematical Modelling and Numerical Analysis · OSTI ID:1564178

Reconstructing high-dimensional Hilbert-valued functions via compressed sensing
Conference · Mon Jul 01 00:00:00 EDT 2019 · OSTI ID:1559611

Reconstruction of jointly sparse vectors via manifold optimization
Journal Article · Wed May 29 00:00:00 EDT 2019 · Applied Numerical Mathematics · OSTI ID:1559612