The universal projection for computing data carried on the hemisphere

Beckers, Benoît; Masset, Luc; Beckers, Pierre

doi:10.1016/j.cad.2010.11.007

Cited by 11 publications

(3 citation statements)

References 6 publications

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“…Using the software Heliodon 2, we developed two kinds of solar analyses: i) solar exposure studies at certain points of interest based on solar stereographic diagrams; ii) computations of the solar radiation received by urban surfaces through the complete warm season in Cordoba. Notice that Heliodon 2 computes the solar flux just taking into account the direct component of solar radiation and assuming clear sky conditions [29].…”

Section: Urban Modeling and Complementary Solar Analysismentioning

confidence: 99%

Assessing the Cooling Effect of Urban Textile Shading Devices Through Time-Lapse Thermography

García‐Nevado

Beckers

Roura³

2020

Sustainable Cities and Society

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Section: Urban Modeling and Complementary Solar Analysismentioning

confidence: 99%

Assessing the Cooling Effect of Urban Textile Shading Devices Through Time-Lapse Thermography

García‐Nevado

Beckers

Roura³

2020

Sustainable Cities and Society

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“…Essentially, the challenge becomes tessellating the surface of a spherical image into equal sized square segments. Most established methods to approximate such a split make use of 2D projections to mimic the spherical shape, yielding largely asymmetrical non-square cells [26]- [29]. It should be noted that there is no optimal method to tessellate the sphere's surface into equal area square partitions [30].…”

Section: A Spherical Image Partitioningmentioning

confidence: 99%

Relative Visual Localization for Unmanned Aerial Systems

Holter¹,

Τσουκαλάς²,

Evangeliou³

et al. 2020

Preprint

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Cooperative Unmanned Aerial Systems (UASs) in GPS-denied environments demand an accurate poselocalization system to ensure efficient operation. In this paper we present a novel visual relative localization system capable of monitoring a 360 o Field-of-View (FoV) in the immediate surroundings of the UAS using a spherical camera. Collaborating UASs carry a set of fiducial markers which are detected by the camera-system. The spherical image is partitioned and rectified into a set of square images. An algorithm is proposed to select the number of images that balances the computational load while maintaining a minimum tracking-accuracy level. The developed system tracks UASs in the vicinity of the spherical camera and experimental studies using two UASs are offered to validate the performance of the relative visual localization against that of a motion capture system.

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“…To transpose this relation to the hemisphere, we have to consider Figure 5 as a stereographic projection where radial scale is not respected but where circles of the hemisphere appear as circles in the projection. 20 The extreme radial positions of the inscribed circle are then converted into the extreme colatitudes (or zenithal angles) on the hemisphere.…”

Section: Greatest Circle Inscribed In a Sector Andmentioning

confidence: 99%

Sky vault partition for computing daylight availability and shortwave energy budget on an urban scale

Beckers

2013

Lighting Research & Technology

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The objective of this work is to propose to the urban physics community an optimal sky vault partition able to support most existing applications, either in daylight availability evaluation or in shortwave energy budget estimation. This partition is explained and justified. Its refinement is examined and analysed with respect to the studies performed today at urban level. The solution of the analyses is obtained in two steps: the heaviest part is the solution of the urban interreflection problem, while the second step is very fast and can be achieved in interactive mode. It consists in computing the thermal or illumination loads which will be used as coefficients of a recombination of the first step results. The urban interreflection problem is independent of this process and can be obtained with various existing techniques, such as the radiosity method.

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The universal projection for computing data carried on the hemisphere

Cited by 11 publications

References 6 publications

Assessing the Cooling Effect of Urban Textile Shading Devices Through Time-Lapse Thermography

Assessing the Cooling Effect of Urban Textile Shading Devices Through Time-Lapse Thermography

Relative Visual Localization for Unmanned Aerial Systems

Sky vault partition for computing daylight availability and shortwave energy budget on an urban scale

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