Digital representations of manifold data (C02)

• Subject Area: Mathematics
• Term: since 2016
• 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
• Subproject of: TRR 109: Discretisation in Geometry and Dynamics
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Dr. Felix Krahmer, Ph.D.; Professorin Dr. Gitta Kutyniok, until 6/2020