A Monte Carlo Approach for ? Placement in Fractal-Dimension Calculations for Waveform Graphs
| dc.contributor.author | Pickover, C.A. | en_US |
| dc.date.accessioned | 2014-10-16T14:15:12Z | |
| dc.date.available | 2014-10-16T14:15:12Z | |
| dc.date.issued | 1986 | en_US |
| dc.description.abstract | Many diverse and complicated objects of nature and math possess the quality of self-similarity, and algorithms which produce self-similar shapes provide a way for computer graphics to represent natural structures. For a variety of studies in signal processing and shape-characterization, it is useful to compare the structures of many different "objects". Unfortunately, large amounts of computer time are needed as prerequisite for rigorous self-similarity characterization and comparison. The present paper describes a fast computer technique for the characterization of self-similar shapes and signals based upon Monte Carlo methods. The algorithm is specifically designed for digitized input (e.g. pictures, acoustic waveforms, analytic functions) where the self-similarity is not obvious from visual inspection of just a few sample magnifications. A speech waveform graph is used as an example, and additional graphics are included as a visual aid for conceptualizing the Monte Carlo process when applied to speech waveforms. | en_US |
| dc.description.number | 3 | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 5 | en_US |
| dc.identifier.doi | 10.1111/j.1467-8659.1986.tb00299.x | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.pages | 203-209 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.1986.tb00299.x | en_US |
| dc.publisher | Blackwell Publishing Ltd and the Eurographics Association | en_US |
| dc.title | A Monte Carlo Approach for ? Placement in Fractal-Dimension Calculations for Waveform Graphs | en_US |