4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)
Apollonius diagrams and the Representation of Sounds and Music
University of Glamorgan, Pontypridd, Wales
July 09-July 11
ISBN: 0-7695-2869-4
We introduce the use of weighted medial graph struc- tures to represent sounds and musical events. Such structures permit the building of hierarchical neighbor- hood relationships (symmetries) while mapping time to a weight (of a note, or event). This is useful to re- late perceptual organisations (groupings in the sense of Gestalt theory) both visually and aurally. We treat time in a cinematographic way, effectively using a space- time representation. The use of colour, modulation (of waveforms), orientation, speed, etc., allows us to integrate multiple musical features in our dynamic dia- grams. We provide illustrations, including animations, of our ideas.
Citation:
Alex McLean, Frederic Fol Leymarie, Geraint Wiggins, "Apollonius diagrams and the Representation of Sounds and Music," isvd, pp.276-281, 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007), 2007