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Digital representations of manifold data (C02)

Subject Area Mathematics
Term from 2016 to 2024
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 195170736
 
To allow for electronic processing, data first needs to be digitally represented. We develop and study such quantized representations for data with manifold structure. We consider the problem of digital halftoning on manifolds, that is, the representation of images only by black and white pixels. In addition, we study quantization methods for manifold valued signals, as they appear for example for recently developed analog-to-digital converters, and thirdly we aim to discover global properties of an unknown manifold from quantized data.
DFG Programme CRC/Transregios
Applicant Institution Technische Universität Berlin
 
 

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