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A Metric for Polygon Comparison and Building Extraction Evaluation

Avbelj, Janja and Müller, Rupert and Bamler, Richard (2015) A Metric for Polygon Comparison and Building Extraction Evaluation. IEEE Geoscience and Remote Sensing Letters, 12 (1), pp. 170-174. IEEE - Institute of Electrical and Electronics Engineers. DOI: 10.1109/LGRS.2014.2330695 ISSN 1545-598X

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Official URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6849454&tag=1

Abstract

The standardization of evaluation techniques for building extraction is an unresolved issue in the fields of remote sensing, photogrammetry, and computer vision. In this letter, we propose a metric with a working title “PoLiS metric” to compare two polygons. The PoLiS metric is a positive-definite and symmetric function that satisfies a triangle inequality. It accounts for shape and accuracy differences between the polygons, is straightforward to apply, and requires no thresholds. We show through an example that the PoLiS metric between two polygons changes approximately linearly with respect to small translation, rotation, and scale changes. Furthermore, we compare building polygons extracted from a digital surface model to the reference building polygons by computing PoLiS, Hausdorff, and Chamfer distances. The results show that quantification by the PoLiS distance of the dissimilarity between polygons is consistent with visual perception. Furthermore, Hausdorff and Chamfer distances overrate the dissimilarity when one polygon has more vertices than the other. We propose an approach toward standardizing building extraction evaluation, which may also have broader applications in the field of shape similarity.

Item URL in elib:https://elib.dlr.de/90425/
Document Type:Article
Title:A Metric for Polygon Comparison and Building Extraction Evaluation
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Avbelj, JanjaDLR, IMFUNSPECIFIED
Müller, RupertDLR, IMFUNSPECIFIED
Bamler, RichardDLR, IMFUNSPECIFIED
Date:January 2015
Journal or Publication Title:IEEE Geoscience and Remote Sensing Letters
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:12
DOI :10.1109/LGRS.2014.2330695
Page Range:pp. 170-174
Editors:
EditorsEmail
Frery, Alejandro C.LaCCAN, Ufal - Universidade Federal de Alagoas, Brazil
Publisher:IEEE - Institute of Electrical and Electronics Engineers
ISSN:1545-598X
Status:Published
Keywords:Building extraction, metric, polygon comparison, quality assessment, shape similarity
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):R - Vorhaben hochauflösende Fernerkundungsverfahren
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Photogrammetry and Image Analysis
Deposited By: Avbelj, Janja
Deposited On:29 Aug 2014 12:25
Last Modified:31 Jul 2019 19:47

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