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A combinatorial algorithm to compute set operations on simple isothetic polygons

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Abstract

A combinatorial algorithm is presented in this work to compute different set operations such as union, intersection, and difference on isothetic polygons. The algorithm constructs an interval tree and formulates a set of combinatorial rules to find the intersection points between two isothetic polygons and then perform the set operations respectively. The running time of the proposed algorithm is found to be \(\mathcal {O}(n\log {}n)\).

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Authors and Affiliations

  1. Department of Computer Science and Technology, Indian Institute of Engineering Science and Technology, Shibpur, India

    Raina Paul, Md Abdul Aziz Al Aman & Apurba Sarkar

  2. Department of Information Technology, Indian Institute of Engineering Science and Technology, Shibpur, India

    Arindam Biswas

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  1. Raina Paul
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  2. Md Abdul Aziz Al Aman
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  3. Apurba Sarkar
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  4. Arindam Biswas
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Correspondence to Raina Paul.

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Paul, R., Aman, M.A.A.A., Sarkar, A. et al. A combinatorial algorithm to compute set operations on simple isothetic polygons. Multimed Tools Appl 82, 6647–6666 (2023). https://doi.org/10.1007/s11042-022-13579-4

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  • DOI: https://doi.org/10.1007/s11042-022-13579-4

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