Initial Study on Information Quantity of Point Cloud
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RESEARCH ARTICLE
Initial Study on Information Quantity of Point Cloud Ronghua Yang & Ying Hu & Meiying Lü & Xianghong Hua & Hao Wu
Received: 6 November 2013 / Accepted: 31 July 2014 # Indian Society of Remote Sensing 2014
Abstract The measure method of information quantity for terrestrial laser scanner (TLS) 3D point cloud data have seldom been studied in previous publications. In this paper, we mainly discuss how to measure information quantity of point cloud data. We give the procedure of measuring information quantity for point cloud, and obtain the formula of calculation. Furthermore, we calculate the information quantity of 5 types of point cloud data, which verified the feasibility of the information measure theory for point cloud.
Keywords Point cloud . Information entropy . Information quantity
R. Yang (*) : Y. Hu School of Civil Engineering; Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education, Chongqing University, Chongqing 400045, China e-mail: [email protected] Y. Hu e-mail: [email protected] M. Lü College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China e-mail: [email protected] X. Hua School of Geodesy & Geomatics, Wuhan University, Wuhan 430079, China e-mail: [email protected] H. Wu School of Resources and Environmental Engineering, Wuhan University of Technology, Wuhan 430070, China e-mail: [email protected]
Introduction Terrestrial laser scanning is an emerging technology in rapid collection of dense, three-dimensional (3D) spatial point cloud datasets of entire surfaces. A number of researchers carried out the scanner’s measurement accuracy and the collected point cloud data’s processing method, such as the self-calibration methods of scanner’s systematic instrument errors (Bae and Lichti 2007; Reshetyuk 2009; Lichti 2010), the spatial resolution of point cloud (Lichti 2006), the registration method of iterative closest point (Besl and Mckay 1992; Godin et al. 1994; Turk and Levoy 1994; Masuda and Yokoya 1995; Higuchi et al. 1995; Brunnström and Stoddart 1996; Weik 1997; Gold et al. 1998; Li and Griffiths 2000; Salvi et al. 2007; etc.), 3-D rigid body transformation method (Eggert et al. 1997; Zhang 2008; etc.), 3-D triangulation method (Risitic et al. 2000; Boissonnat and Cazals 2000; Aurenhammer et al. 2002; Gudmundsson et al. 2002; Shewchuk 2002; Choi 2003; Li 2001). In addition, the information theory as one of the fastestgrowing modern scientific theories has been successfully applied to interpretation of cartographic generalization (Zhang 1995), quantitative analysis of map information (Li and Huang 2002; Neumann 1994; etc.), evaluation of the image fusion results and information measure methods of remote-sensing images (Chen 2010; Deng 2009). How to evaluate information quantity in different point cloud is still problematic, and very little research can be founded in this area. A terrestrial laser scanning system (TLSS) consists of the following components (Reshetyuk 2009): scanning un
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