Joachim Weickert performs research in image processing, computer vision and scientific computing, focussing on techniques based on partial differential equations, variational principles, wavelets, morphological and nonlocal methods, as well as neuroexplicit approaches. He has developed mathematical models and efficient numerical algorithms for image restoration, enhancement, segmentation, compression, optic flow computation, stereo reconstruction, shape from shading, as well as signal processing methods for tensor fields. These ideas have entered a number of applications in industry, biomedical image analysis, and other fields.

The scientific work of Joachim Weickert covers more than 350 publications. He has been editor-in-chief of the Journal of Mathematical Imaging and Vision and has served in the editorial boards of ten international journals and book series. Joachim Weickert has been reviewer for more than 70 journals and 20 funding organisations and has given over 190 invited talks at conferences, workshops and other universities. He has received 35 research, teaching and reviewer awards, including a Gottfried Wilhelm Leibniz Prize which is considered the most important research award in Germany. In 2017 he has been awarded an ERC Advanced Grant for Inpainting-based Compression of Visual Data. He is elected member of the Academia Europaea - The Academy of Europe.