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Scaling and compressing melodies using geometric similarity measures

Author

Listed:
  • Caraballo, L.E.
  • Díaz-Báñez, J.M.
  • Rodríguez, F.
  • Sánchez-Canales, V.
  • Ventura, I.

Abstract

Melodic similarity measurement is of key importance in music information retrieval. In this paper, we use geometric matching techniques to measure the similarity between two melodies. We represent music as sets of points or sets of horizontal line segments in the Euclidean plane and propose efficient algorithms for optimization problems inspired in two operations on melodies; linear scaling and audio compression. In the scaling problem, an incoming query melody is scaled forward until the similarity measure between the query and a reference melody is minimized. The compression problem asks for a subset of notes of a given melody such that the matching cost between the selected notes and the reference melody is minimized.

Suggested Citation

  • Caraballo, L.E. & Díaz-Báñez, J.M. & Rodríguez, F. & Sánchez-Canales, V. & Ventura, I., 2022. "Scaling and compressing melodies using geometric similarity measures," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    • Handle: RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002144
    DOI: 10.1016/j.amc.2022.127130
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    References listed on IDEAS

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    1. Bereg, Sergey & Díaz-Báñez, José-Miguel & Kroher, Nadine & Ventura, Inmaculada, 2019. "Computing melodic templates in oral music traditions," Applied Mathematics and Computation, Elsevier, vol. 344, pages 219-229.
    2. Barba, L. & Caraballo, L.E. & Díaz-Báñez, J.M. & Fabila-Monroy, R. & Pérez-Castillo, E., 2016. "Asymmetric polygons with maximum area," European Journal of Operational Research, Elsevier, vol. 248(3), pages 1123-1131.
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    1. Bereg, Sergey & Díaz-Báñez, José-Miguel & Kroher, Nadine & Ventura, Inmaculada, 2019. "Computing melodic templates in oral music traditions," Applied Mathematics and Computation, Elsevier, vol. 344, pages 219-229.

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