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Bézier Spline Modeling of Pitch-Continuous Melodic Expression and Ornamentation

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Bret BatteyAuthors Info & Claims

Computer Music Journal, Volume 28, Issue 4

Pages 25 - 39

https://doi.org/10.1162/0148926042728377

Published: 01 December 2004 Publication History

Abstract

No abstract available.

References

[1]

Bartels, R. H., and D. R. Warn. 1994. "Experiments with Curvature-Continuous Patch-Boundary Fitting." IEEE Computer Graphics and Applications 14(5):64-73.

Digital Library

Google Scholar

[2]

Beauchamp, J. W. 1982. "Synthesis by Spectral Amplitude and 'Brightness' Matching of Analyzed Musical Sounds." Journal of the Audio Engineering Society 30(6):396-406.

Google Scholar

[3]

Daniélou, A. 1980. The Ragas of North Indian Music. New Delhi: Munshiram Hanoharlal.

Google Scholar

[4]

Farin, G. 1993. Curves and Surfaces for Computer Aided Geometric Design. San Diego: Academic Press.

Crossref

Google Scholar

[5]

Foley, J., et al. 1990. Computer Graphics: Principles and Practice, 2nd ed. New York: Addison-Wesley.

Digital Library

Google Scholar

[6]

Gautam, M. R. 1981. "Gamakas of Hindustani Music." The Journal of the Music Academy of Madras 52:202- 209.

Google Scholar

[7]

Gill, P. E., W. Murray, and M. H. Wright. 1981. Practical Optimization. New York: Academic Press.

Google Scholar

[8]

Gjerdingen, R. O. 1988. "Shape and Motion in the Micro-structure of Song." Music Perception 6(1):35-64.

Crossref

Google Scholar

[9]

Hajda, J. 1996. "A New Model for Segmenting the Envelope of Musical Signals: The Relative Salience of Steady State." Audio Engineering Society Preprint #4391, 101st Convention. New York: Audio Engineering Society.

Google Scholar

[10]

Jehan, T., and B. Schoner. 2001. An Audio-Driven, Spectral Analysis-Based, Perceptual Synthesis Engine. Paper presented at the 110th Audio Engineering Society Convention, 12-15 May, Amsterdam.

Google Scholar

[11]

Johnson, L. W., R. D. Riess, and J. T. Arnold. 2002. Introduction to Linear Algebra, 5th ed. New York: Addison-Wesley.

Google Scholar

[12]

Lee, E. T. Y. 1989. "Choosing Nodes in Parametric Curve Interpolation." Computer Aided Design 21(6):363-370.

Digital Library

Google Scholar

[13]

McAdams, S., J. W. Beauchamp, and S. Meneguzzi. 1999. "Discrimination of Musical Instrument Sounds Resynthesized with Simplified Spectrotemporal Parameters." Journal of the Acoustical Society of America 105(2):882-897.

Crossref

Google Scholar

[14]

Rabiner, L. R. 1977. "On the Use of Autocorrelation Analysis for Pitch Detection." IEEE Transactions on Acoustics, Speech, and Signal Processing 25(1):24-33.

Crossref

Google Scholar

[15]

Roederer, J. C. 1979. Introduction to the Physics and Psychophysics of Music, 2nd ed. New York: Springer-Verlag.

Google Scholar

[16]

Wishart, T. 1996. On Sonic Art. Amsterdam: Harwood Academic Publishers.

Google Scholar

Cited By

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Maestre ERamírez R(2018)An approach to predicting bowing control parameter contours in violin performanceIntelligent Data Analysis10.5555/1859240.185924614:5(587-599)Online publication date: 27-Dec-2018
https://dl.acm.org/doi/10.5555/1859240.1859246
Aloupis GFevens TLangerman SMatsui TMesa ANuñez YRappaport DToussaint G(2018)Algorithms for Computing Geometric Measures of Melodic SimilarityComputer Music Journal10.1162/comj.2006.30.3.6730:3(67-76)Online publication date: 27-Dec-2018
https://dl.acm.org/doi/10.1162/comj.2006.30.3.67
Battey BFinnegan JPfister H(2006)Autarkeia AggregatumACM SIGGRAPH 2006 Sketches10.1145/1179849.1179964(92-es)Online publication date: 30-Jul-2006
https://dl.acm.org/doi/10.1145/1179849.1179964

Bézier Spline Modeling of Pitch-Continuous Melodic Expression and Ornamentation
1. Applied computing
  1. Arts and humanities

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Published In

Computer Music Journal Volume 28, Issue 4

December 2004

127 pages

ISSN:0148-9267

EISSN:1531-5169

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MIT Press

Cambridge, MA, United States

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Published: 01 December 2004

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Maestre ERamírez R(2018)An approach to predicting bowing control parameter contours in violin performanceIntelligent Data Analysis10.5555/1859240.185924614:5(587-599)Online publication date: 27-Dec-2018
https://dl.acm.org/doi/10.5555/1859240.1859246
Aloupis GFevens TLangerman SMatsui TMesa ANuñez YRappaport DToussaint G(2018)Algorithms for Computing Geometric Measures of Melodic SimilarityComputer Music Journal10.1162/comj.2006.30.3.6730:3(67-76)Online publication date: 27-Dec-2018
https://dl.acm.org/doi/10.1162/comj.2006.30.3.67
Battey BFinnegan JPfister H(2006)Autarkeia AggregatumACM SIGGRAPH 2006 Sketches10.1145/1179849.1179964(92-es)Online publication date: 30-Jul-2006
https://dl.acm.org/doi/10.1145/1179849.1179964

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Recommendations

Euler Bézier spirals and Euler B-spline spirals

Approximation of conic sections by curvature continuous quartic Bézier curves

Weighted Lupaş q -Bézier curves

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