Quantitative evaluation of irregular sampling methods

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One of the big challenges of computer graphics and especially of computer-generated imagery is the construction of appropriate sampling patterns. Such patterns should suppress Moiré-Patterns but should also reduce the generated noise that is inherent to the sampling process. One possibility is to change the frequency spectrum of the noise so that the human observer does not notify it anymore. Such noise is called Blue Noise and is characterized by suppressing low frequencies below a prominent medium frequency.In the project we will extend sampling methods that have been developed by the applicant and his group in the last years. We want to deepen the theoretical understanding of such methods, but also develop practical methods for image synthesis. A particular useful method allows automatic judgement about the realizability of a spectrum, this method also enables the user to produce new forms of sampling patterns with desired frequency properties. We want to extend this method within the project.