Optimal scan planning with enforced network connectivity for the acquisition of three-dimensional indoor models

Y Dehbi, J Leonhardt, J Oehrlein, JH Haunert - ISPRS Journal of …, 2021 - Elsevier
The positioning of laser scanners for indoor surveying is still a time and cost expensive
process. This article proposes an optimization approach for computing an admissible sensor …

A practical algorithm for the viewpoint planning of terrestrial laser scanners

F Jia, DD Lichti - Geomatics, 2022 - mdpi.com
Applications using terrestrial laser scanners (TLS) have been skyrocketing in the past two
decades. In a scanning project, the configuration of scans is a critical issue as it has …

An exact algorithm for minimizing vertex guards on art galleries

MC Couto, PJ de Rezende… - … in Operational Research, 2011 - Wiley Online Library
We consider the problem [art gallery problem (AGP)] of minimizing the number of vertex
guards required to monitor an art gallery whose boundary is an n‐vertex simple polygon. In …

Engineering art galleries

PJ de Rezende, CC de Souza, S Friedrichs… - … : Selected Results and …, 2016 - Springer
Abstract The Art Gallery Problem (AGP) is one of the most well-known problems in
Computational Geometry (CG), with a rich history in the study of algorithms, complexity, and …

Approximation algorithms for art gallery problems in polygons and terrains

SK Ghosh - International Workshop on Algorithms and …, 2010 - Springer
Approximation Algorithms for Art Gallery Problems in Polygons and Terrains Page 1
Approximation Algorithms for Art Gallery Problems in Polygons and Terrains Subir Kumar Ghosh …

Exact solutions and bounds for general art gallery problems

A Kröller, T Baumgartner, SP Fekete… - Journal of Experimental …, 2012 - dl.acm.org
The classical Art Gallery Problem asks for the minimum number of guards that achieve
visibility coverage of a given polygon. This problem is known to be NP-hard, even for very …

A nearly optimal algorithm for covering the interior of an art gallery

A Bottino, A Laurentini - Pattern recognition, 2011 - Elsevier
The problem of locating visual sensors can be often modelled as 2D Art Gallery problems. In
particular, tasks such as surveillance require observing the interior of a polygonal …

Point guards and point clouds: Solving general art gallery problems

D Borrmann, PJ de Rezende, CC de Souza… - Proceedings of the …, 2013 - dl.acm.org
In this video, we illustrate how one of the classical areas of computational geometry has
gained in practical relevance, which in turn gives rise to new, fascinating geometric …

The quest for optimal solutions for the art gallery problem: A practical iterative algorithm

DC Tozoni, PJ de Rezende, CC de Souza - International Symposium on …, 2013 - Springer
Abstract The general Art Gallery Problem (AGP) consists in finding the minimum number of
guards sufficient to ensure the visibility coverage of an art gallery represented by a polygon …

Visiting convex regions in a polygonal map

J Faigl, V Vonásek, L Přeučil - Robotics and Autonomous Systems, 2013 - Elsevier
This paper is concerned with a variant of the multi-goal path planning in which goals are
represented as convex polygons. The problem is to find a closed shortest path in a …