Fractal Videofeedback as Analog Iterated Function Systems

Frame, Michael; Neger, Nial

doi:10.1142/s0218348x08003946

Cited by 12 publications

(13 citation statements)

References 8 publications

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“…(12) when Q k are coming from fBm or fractional Gaussian noise (fGn), we employed the following procedure: First, we generated fBm (or fGn) time-series X k (consisting of 2 × 10 4 points) for a given value of H using the Mandelbrot-Weierstrass function 28,29,30 as described in Ref. 22.…”

Section: A Fractional Brownian Motion and Fractional Gaussian Noise mentioning

confidence: 99%

Fluctuations, under time reversal, of the natural time and the entropy distinguish similar looking electric signals of different dynamics

Varotsos

Sarlis

Skordas

et al. 2008

Journal of Applied Physics

109

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We show that the scale dependence of the fluctuations of the natural time itself under time reversal provides a useful tool for the discrimination of seismic electric signals (critical dynamics) from noises emitted from manmade sources as well as for the determination of the scaling exponent. We present recent data of electric signals detected at the Earth's surface, which confirm that the value of the entropy in natural time as well as its value under time reversal are smaller than that of the entropy of a "uniform" distribution.PACS numbers: 91.25. Qi, 91.30.Px, 05.45.Tp

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Section: A Fractional Brownian Motion and Fractional Gaussian Noise mentioning

confidence: 99%

Fluctuations, under time reversal, of the natural time and the entropy distinguish similar looking electric signals of different dynamics

Varotsos

Sarlis

Skordas

et al. 2008

Journal of Applied Physics

109

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“…17 Since Apollonius introduced circle inversion, many applications of the concept have been used in geometry. 16 Definition 1.…”

Section: Circle Inversionmentioning

confidence: 99%

Star-Shaped Set Inversion Fractals

Gdawiec

2014

Fractals

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In the paper, we generalized the idea of circle inversion to star-shaped sets and used the generalized inversion to replace the circle inversion transformation in the algorithm for the generation of the circle inversion fractals. In this way, we obtained the star-shaped set inversion fractals. The examples that we have presented show that we were able to obtain very diverse fractal patterns by using the proposed extension and that these patterns are different from those obtained with the circle inversion method. Moreover, because circles are star-shaped sets, the proposed generalization allows us to deform the circle inversion fractals in a very easy and intuitive way.

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“…Video feedback: Scientists have studied VF for decades by experiment [4], digital simulation [2], adding digital processing [3] and modifying the VF setup [5]. New media artists have built many interesting VF artworks [1].…”

Section: Related Workmentioning

confidence: 99%

Paint Desirable Subjects with Interactive Video Feedback

Lyu

Zhong

2013

2013 International Conference on Computer-Aided Design and Computer Graphics

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In this paper we describe the creation and the presentation of interactive fractal paintings with paint systems based on VF(Video Feedback). VF occurs when a camera points to its own display. VF is able to generate evolving fractal patterns. But it is difficult to create artworks under specified subjects based on VF. To solve this difficulty, we implemented video feedback paint system by minimally modifying the bare-bones VF system. The system enables the user to draw shapes directly on a display engaged in VF. These shapes geometrically confine the VF dynamics and compose a designed 2D composition which can include specific subject matter. Artworks created using the system can generate evolving patterns with the viewer manipulating anything possible between the camera and the display yet always conform to designed 2D compositions.

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Fractal Videofeedback as Analog Iterated Function Systems

Cited by 12 publications

References 8 publications

Fluctuations, under time reversal, of the natural time and the entropy distinguish similar looking electric signals of different dynamics

Fluctuations, under time reversal, of the natural time and the entropy distinguish similar looking electric signals of different dynamics

Star-Shaped Set Inversion Fractals

Paint Desirable Subjects with Interactive Video Feedback

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