Our role as TOOLMAKERS


We see our (= NUHAG's) role as that of a toolmaker for scientists in various branches of science doing data analysis, signal analysis, image processing, etc.;

OUR AIMS are therefore

  1. Development of efficient algorithms

of practical use in signal analysis, based on profound mathematical methods;

  • To link pure mathematics with image processing
  • (proofs are seen as a guarantee of convergence, experimental insight leads to mathematical conjectures)

  • Interaction with colleagues from various sciences
  • (build models, exhibit hidden mathematical structure, and develop on this basis numerical solutions; talk to colleagues to learn what their needs are, and their methods)

  • To develop appropriate mathematical theories
  • (e.g. Gabor analysis, irregular sampling; covering simultaneously the discrete, continuous, and finite case in a unified terminology)

  • To show that the new tools actually work efficiently
  • (convince scientists from related fields that we provide more than heuristic suggestions or theoretical approaches)