# A Novel 2.5D Shadow Calculation Algorithm for Urban Environment

### Sukriti Bhattacharya, Christian Braun, Ulrich Leopold

#### Abstract

This paper proposes a novel efficient algorithm to calculate a 2.5D shadow map based on a coherent mathematic formula concerning the sun’s position in a specific location, date and time. This work attempts to improve the understanding of the underlying equations and data structures from an analytical, a geometric and a dynamical systems perspective. By using scalable tensor data structure and inherent parallelism offered by data-flow based implementation the proof of concept is developed to test the technical feasibility of the proposed algorithm. Results show noticeable and significant improvements in overall performance keeping accuracy at negligible differences.

Download#### Paper Citation

#### in Harvard Style

Bhattacharya S., Braun C. and Leopold U. (2019). **A Novel 2.5D Shadow Calculation Algorithm for Urban Environment**.In *Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management - Volume 1: GISTAM,* ISBN 978-989-758-371-1, pages 274-281. DOI: 10.5220/0007748602740281

#### in Bibtex Style

@conference{gistam19,

author={Sukriti Bhattacharya and Christian Braun and Ulrich Leopold},

title={A Novel 2.5D Shadow Calculation Algorithm for Urban Environment},

booktitle={Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management - Volume 1: GISTAM,},

year={2019},

pages={274-281},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0007748602740281},

isbn={978-989-758-371-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management - Volume 1: GISTAM,

TI - A Novel 2.5D Shadow Calculation Algorithm for Urban Environment

SN - 978-989-758-371-1

AU - Bhattacharya S.

AU - Braun C.

AU - Leopold U.

PY - 2019

SP - 274

EP - 281

DO - 10.5220/0007748602740281