Over the past decades, modern mathematics is playing an increasingly important role in the development of biomedical imaging, yielding groundbreaking ideas and powerful tools for clinical and preclinical applications. Nevertheless, there are not only growing obstacles between applied mathematicians and imaging engineers to communicate more effective but also great synergy to be unlocked across boundaries between mathematics and imaging technology. We organize this special issue to address this unique challenge by presenting some sophisticated mathematical methods in an engineer-friendly language and demonstrating some representative applications of contemporary analytic tools in image reconstruction research.

Topics of interest include, but are not limited to:

• Relevance of mathematical branches to biomedical imaging
• Closed-form image reconstruction schemes
• Algebraic and statistical iterative reconstruction strategies
• Imaging performance assessment methods
• Emerging imaging theories and modalities

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