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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 75 (1994), S. 189-213 
    ISSN: 1572-9613
    Keywords: Multidimensional piecewise expanding mappings ; deterministic chaos ; diffusion ; central limit theorem ; local limit theorem ; Markov processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Strongly chaotic systems (e.g., piecewise expanding mappings) exhibit diffusion-like behavior in the sense of central limit theorems. To find more precise statements about the similarity to probabilistic diffusion, we study how the evolution of probability densities underd-dimensional piecewise expanding mappings can be modeled by Markov processes with smooth transition probabilities (such as diffusion processes). Our results can be viewed as a special type of local limit theorem.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2022-07-19
    Description: The limited spatial resolution of standard computer displays impedes the legibility of text. To improve the rendering, we have developed a number of strategies that employ GPU-based shader programs and appropriate preprocessing steps. We devised and implemented a set of methods that may be used alone or in combination ranging from simple measures such as gamma-correct MIPmapping to complex ones such as RGB subpixel rendering combined with supersampling. We have researched into their performance in terms of both legibility and speed. We difinded a psychovisual test that quantifies legibility quickly enough to compare a selection of promising techniques. The results allow to choose the optimum blend of rendering methods for a given set of requirements.
    Language: English
    Type: conferenceobject , doc-type:conferenceObject
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