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