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Modular Bundle Adjustment for Photogrammeric Computations
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0002-7657-6917
INSA Strasbourg, France. (ICube Laboratory UMR 7357, Photogrammetry and Geomatics Group)
INSA Strasbourg, France. (ICube Laboratory UMR 7357, Photogrammetry and Geomatics Group)
3D Optical Metrology (3DOM) unit, Bruno Kessler Foundation (FBK), Trento, Italy.
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2018 (English)In: ISPRS Technical Commission II Symposium 2018, ISPRS , 2018, Vol. XLII-2, p. 133-140Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we investigate how the residuals in bundle adjustmentcan be split into a composition of simple functions. According to thechain rule, the Jacobian (linearisation) of the residual can be formedas a product of the Jacobians of the individual steps. Whenimplemented, this enables a modularisation of the computation of thebundle adjustment residuals and Jacobians where each component haslimited responsibility. This enables simple replacement of componentsto e.g. implement different projection or rotation models byexchanging a module. The technique has previously been used toimplement bundle adjustment in the open-source package DBAT (Borlinand Grussenmeyer, ¨ 2013) based on the Photogrammetric and ComputerVision interpretations of Brown (1971) lens distortion model. In thispaper, we applied the technique to investigate how affine distortionscan be used to model the projection of a tilt-shift lens. Two extendeddistortion models were implemented to test the hypothesis that theordering of the affine and lens distortion steps can be changed toreduce the size of the residuals of a tilt-shift lens calibration.Results on synthetic data confirm that the ordering of the affine andlens distortion steps matter and is detectable by DBAT. However, whenapplied to a real camera calibration data set of a tilt-shift lens, nodifference between the extended models was seen. This suggests thatthe tested hypothesis is false and that other effects need to bemodelled to better explain the projection. The relatively lowimplementation effort that was needed to generate the models suggestthat the technique can be used to investigate other novel projectionmodels in photogrammetry, including modelling changes in the 3Dgeometry to better understand the tilt-shift lens.

Place, publisher, year, edition, pages
ISPRS , 2018. Vol. XLII-2, p. 133-140
Series
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, ISSN 1682-1750, E-ISSN 2194-9034
Keywords [en]
Bundle adjustment, Camera model, Analytical Jacobians, Software, Photogrammetry, Tilt-shift lens
National Category
Computational Mathematics Probability Theory and Statistics
Research subject
Computer and Information Science; Mathematical Statistics
Identifiers
URN: urn:nbn:se:umu:diva-147865DOI: 10.5194/isprs-archives-XLII-2-133-2018OAI: oai:DiVA.org:umu-147865DiVA, id: diva2:1207132
Conference
ISPRS Technical Commission II Symposium 2018, Riva del Garda, Italy, June 3-7, 2018
Available from: 2018-05-18 Created: 2018-05-18 Last updated: 2018-06-09

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Börlin, Niclas

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