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Proceedings Paper

3D collocation filtering
Author(s): Riccardo Barzaghi
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Paper Abstract

Collocation is a powerful technique in filtering the correlated part of a signal from noise. It is now a day widely applied in many research field (e.g. in Geodesy to estimate the geoid or in Photogrammetry to reconstruct a DEM). In this paper a 3-D collocation filter is developed from the theoretical and numerical point of view. The main theoretical problem, i.e. to find a suitable catalogue of positive definite functions, is solved and a proper set of positive definite functions for a 3-D process is defined; futhermore a package of FORTRAN 77 programs is developed to implement the method. To test this stochastic filter, a simulated 3-D signal was computed; the numerical procedure has proved to be effective.

Paper Details

Date Published: 1 August 1990
PDF: 8 pages
Proc. SPIE 1395, Close-Range Photogrammetry Meets Machine Vision, 139536 (1 August 1990); doi: 10.1117/12.2294357
Show Author Affiliations
Riccardo Barzaghi, Poltecnico di Milano (Italy)

Published in SPIE Proceedings Vol. 1395:
Close-Range Photogrammetry Meets Machine Vision
Armin Gruen; Emmanuel P. Baltsavias, Editor(s)

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