A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING

Indoor surveying is currently based on laser scanning technology, which is time-consuming and costly. A construction model depends on complex calculations which need to manage a large number of measured points. This is suitable for the detailed geometrical models utilized for representation, yet exc...

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Main Authors: A. Jamali, F. Anton, A. Abdul Rahman, D. Mioc
Format: Article
Language:English
Published: Copernicus Publications 2017-10-01
Series:The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Online Access:https://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-4-W7/13/2017/isprs-archives-XLII-4-W7-13-2017.pdf
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spelling doaj-d5d1ac7d906b41dea209fee1e95648332020-11-24T22:40:09ZengCopernicus PublicationsThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences1682-17502194-90342017-10-01XLII-4-W7132110.5194/isprs-archives-XLII-4-W7-13-2017A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLINGA. Jamali0F. Anton1A. Abdul Rahman2D. Mioc3Universiti Teknologi Malaysia (UTM), Faculty of Geoinformation and Real Estate, MalaysiaYachay Tech University, School of Mathematics and Information Technology, EcuadorUniversiti Teknologi Malaysia (UTM), Faculty of Geoinformation and Real Estate, MalaysiaYachay Tech University, School of Mathematics and Information Technology, EcuadorIndoor surveying is currently based on laser scanning technology, which is time-consuming and costly. A construction model depends on complex calculations which need to manage a large number of measured points. This is suitable for the detailed geometrical models utilized for representation, yet excessively overstated when a simple model including walls, floors, roofs, entryways, and windows is required, such a basic model being a key for efficient network analysis such as shortest path finding. To reduce the time and cost of the indoor building data acquisition process, the Trimble LaserAce 1000 range finder is used. A comparison of neural network and a combined method of interval analysis and homotopy continuation in 3D interior building modelling for calibration of inaccurate surveying equipment is presented. We will present the interval valued homotopy model of the measurement of horizontal angles by the magnetometer component of the rangefinder. This model blends interval analysis and homotopy continuation. The results prove that homotopies give the best results both in terms of RMSE and the L<sub>∞</sub> metric.https://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-4-W7/13/2017/isprs-archives-XLII-4-W7-13-2017.pdf
collection DOAJ
language English
format Article
sources DOAJ
author A. Jamali
F. Anton
A. Abdul Rahman
D. Mioc
spellingShingle A. Jamali
F. Anton
A. Abdul Rahman
D. Mioc
A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
author_facet A. Jamali
F. Anton
A. Abdul Rahman
D. Mioc
author_sort A. Jamali
title A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING
title_short A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING
title_full A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING
title_fullStr A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING
title_full_unstemmed A COMPARISON OF ARTIFICIAL NEURAL NETWORK AND HOMOTOPY CONTINUATION IN 3D INTERIOR BUILDING MODELLING
title_sort comparison of artificial neural network and homotopy continuation in 3d interior building modelling
publisher Copernicus Publications
series The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
issn 1682-1750
2194-9034
publishDate 2017-10-01
description Indoor surveying is currently based on laser scanning technology, which is time-consuming and costly. A construction model depends on complex calculations which need to manage a large number of measured points. This is suitable for the detailed geometrical models utilized for representation, yet excessively overstated when a simple model including walls, floors, roofs, entryways, and windows is required, such a basic model being a key for efficient network analysis such as shortest path finding. To reduce the time and cost of the indoor building data acquisition process, the Trimble LaserAce 1000 range finder is used. A comparison of neural network and a combined method of interval analysis and homotopy continuation in 3D interior building modelling for calibration of inaccurate surveying equipment is presented. We will present the interval valued homotopy model of the measurement of horizontal angles by the magnetometer component of the rangefinder. This model blends interval analysis and homotopy continuation. The results prove that homotopies give the best results both in terms of RMSE and the L<sub>∞</sub> metric.
url https://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-4-W7/13/2017/isprs-archives-XLII-4-W7-13-2017.pdf
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