Abstract-In this work the solution to the problem of electromagnetic radiation from (pre-)fractal antennas is performed by means of PlaneWave field representation based on closed-form Fourier transforms of the self-similar current patterns. The generalization to the case of uniformly translating antennas is then accomplished through the Frame-Hopping Method by exploiting special-relativistic covariance properties of Plane-Wave spectra.
Electromagnetics and Acoustics on a bounded domain is governed by the Helmholtz's equation; when such a domain is [pre-]fractal described by means of a 'just-touching' Iterated Function System (IFS) spectral decomposition of the Helmholtz's operator is selfsimilar as well. Renormalization of the Green's function proves this feature and isolates a subclass of eigenmodes, called diaperiodic, whose waveforms and eigenvalues can be recursively computed applying the IFS to the initiator's eigenspaces. The definition of spectral dimension is given and proven to depend on diaperiodic modes only for a wide class of IFSs. Finally, asymptotic equivalence between box-counting and spectral dimensions in the fractal limit is proven. As the "self-similar" spectrum of the fractal is enough to compute box-counting dimension, positive answer is given to title question.
High-Performance Computing has been improving for the last decades through more parallelism and high-level machine instructions. Multimedia applications for Audio\Video post-production also rely on fast algebraic data manipulation, which is though not fully supported at cpu and os kernel levels yet. After a brief review on current hardware and software implementations, several steering proposals towards future architectures for both hpc and A\V post-production environments, as well as os human interfaces is sketched here.
SUMMARYA couple of iterative models for the theoretical study of fractal networks whose topologies are generated via iterated function systems is presented: a lumped-parameter impedor-oriented one and a two-portnetwork-oriented one. With the former, the voltage and current patterns give a detailed understanding of the electromagnetic fields' self-similar distribution throughout the network; on the other hand, model complexity exponentially increases with the prefractal iteration order. The latter 'black-box' model only controls port-oriented global parameters that are the ones commonly used in the integration of different electronic systems, and its complexity is independent of prefractal order. Sierpinski gasket and carpet topologies are reported as examples.
Abstract:The Academy of Motion Picture Arts and Sciences has been pivotal in the inception, design and later adoption of a vendor-agnostic and open framework for color management, the Academy Color Encoding System (ACES), targeting theatrical, TV and animation features, but also still-photography and image preservation at large. For this reason, the Academy gathered an interdisciplinary group of scientists, technologists, and creatives, to contribute to it so that it is scientifically sound and technically advantageous in solving practical and interoperability problems in the current film production, postproduction and visual-effects (VFX) ecosystem-all while preserving and future-proofing the cinematographers' and artists' creative intent as its main objective. In this paper, a review of ACES' technical specifications is provided, as well as the current status of the project and a recent use case is given, namely that of the first Italian production embracing an end-to-end ACES pipeline. In addition, new ACES components will be introduced and a discussion started about possible uses for long-time preservation of color imaging in video-content heritage.
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