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Eccentricity in Images of Circular and Spherical Targets and Its Impact to 3D Object Reconstruction : Volume Xl-5, Issue 1 (06/06/2014)

By Luhmann, T.

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Book Id: WPLBN0004015224
Format Type: PDF Article :
File Size: Pages 8
Reproduction Date: 2015

Title: Eccentricity in Images of Circular and Spherical Targets and Its Impact to 3D Object Reconstruction : Volume Xl-5, Issue 1 (06/06/2014)  
Author: Luhmann, T.
Volume: Vol. XL-5, Issue 1
Language: English
Subject: Science, Isprs, International
Collections: Periodicals: Journal and Magazine Collection, Copernicus Publications
Historic
Publication Date:
2014
Publisher: Copernicus Publications, Göttingen, Germany
Member Page: Copernicus Publications

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Luhmann, T. (2014). Eccentricity in Images of Circular and Spherical Targets and Its Impact to 3D Object Reconstruction : Volume Xl-5, Issue 1 (06/06/2014). Retrieved from http://www.ebooklibrary.org/


Description
Description: Jade University Oldenburg, Institute for Applied Photogrammetry and Geoinformatics, Oldenburg, Germany. This paper discusses a feature of projective geometry which causes eccentricity in the image measurement of circular and spherical targets. While it is commonly known that flat circular targets can have a significant displacement of the elliptical image centre with respect to the true imaged circle centre, it can also be shown that the a similar effect exists for spherical targets. Both types of targets are imaged with an elliptical contour. As a result, if measurement methods based on ellipses are used to detect the target (e.g. best-fit ellipses), the calculated ellipse centre does not correspond to the desired target centre in 3D space. This paper firstly discusses the use and measurement of circular and spherical targets. It then describes the geometrical projection model in order to demonstrate the eccentricity in image space. Based on numerical simulations, the eccentricity in the image is further quantified and investigated. Finally, the resulting effect in 3D space is estimated for stereo and multi-image intersections. It can be stated that the eccentricity is larger than usually assumed, and must be compensated for high-accuracy applications. Spherical targets do not show better results than circular targets. The paper is an updated version of Luhmann (2014) new experimental investigations on the effect of length measurement errors.

Summary
Eccentricity in Images of Circular and Spherical Targets and its Impact to 3D Object Reconstruction

 

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