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Gaussian Equation to Describe the Percent of Shadow Length in Satellite Image

2018/03/11 by Emad Ali Al-Hilaly, Al-Hilaly, Emad Ali, Israa J. Muhsin +1
Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Applied Physics (physics.app-ph) #Astronomy #Astrophysics #Computer science #Computer vision #FOS: Physical sciences #Gaussian #Geodesy #Geography #Geology #Geometry #Impact of Light on Environment and Health #Mathematics #Physics #Popular Physics (physics.pop-ph) #Process (computing) #Remote Sensing and Land Use #Rotation (mathematics) #Satellite #Satellite Image Processing and Photogrammetry #Shadow (psychology) #Sky #physics.app-ph #physics.pop-ph

paper · pdf · doi:10.48550/arxiv.1803.05304

20 pages, 13 figure. arXiv admin note: substantial text overlap with arXiv:1803.03823

arxiv created 2018/03/11 · openalex publication_date 2018/03/11 · arxiv updated 2018/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The shadow is a separated feature in the satellite images specially high resolution images. It may be looked as a problem when it causes a loss in the ground ray response to the shaded area, and may be, from other view, considered as an indication to the height of the bodies or buildings, when it hidden due to top view of the satellite image usually. The location of the object on the earth affects its shadow length, direction and darkness. The ostensible sun path in the sky also affects the shadow length and direction, it is depending on the change of the rotation axis of planet about its center during the year. And it is clear that the shadow is changing with the sun transmission in the day times. The sun location needs complex equations, because there are several angles describing its location with taking into consideration the location of the shaded body on the earth spatially the latitude, and the shadow direction and length depend on the sun location so it need more equations. Some engineering purposes, and some engineers and designer can not process these complex astronomy equations every time they need to calculate the shadow effect on the urban region or garden for examples, or other architectural purposes, it is unpractical process to estimate the shadow direction and length for civil from these equation. So, we derived in this study a high accurate empirical Gaussian equation to find shadow length percent in the limits of the study area depends on single parameter which is the number of day during the year, and calculating the percent of shadow, so we can calculate the shadow length percent accurately in any day number by the suggested equation after knowing the real building height.

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