Share Email Print

Proceedings Paper

Stability of absolute depth reconstruction from deflectometric measurement data
Author(s): Alexey Pak
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

Until recently, the problem of reconstructing specular surface shapes from deflectometric registration data was considered inherently ambiguous, and thus requiring additional information in order to uniquely determine the absolute surface position. In 2013, Liu, Hartley and Salzmann suggested a solution to the reconstruction problem which employed the first-order derivatives of the registration data in order to recover the absolute depth of the surface along each camera ray. In this work, we demonstrate an alternative derivation of equivalent results, leading to more computationally efficient and tractable expressions. Re-formulated in terms of normal vector field, our results provide a natural regularization that together with or without external regularization data could be easily used within the existing reconstruction algorithms. We further elaborate on the stability and the uniqueness of the solution. In particular, we find conditions when a shape cannot be uniquely recovered and identify two equations that characterize the families of such shapes.

Paper Details

Date Published: 18 August 2014
PDF: 7 pages
Proc. SPIE 9203, Interferometry XVII: Techniques and Analysis, 92030E (18 August 2014); doi: 10.1117/12.2061647
Show Author Affiliations
Alexey Pak, Fraunhofer-Institut für Optronik, Systemtechnik und Bildauswertung (Germany)

Published in SPIE Proceedings Vol. 9203:
Interferometry XVII: Techniques and Analysis
Katherine Creath; Jan Burke; Joanna Schmit, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?