The 27th European Signal Processing Conference (EUSIPCO) was held 2–6 September 2019 at the A Coruña Conference Center, Palexco. “Balcony of the Atlantic,” “Crystal City,” and “Herculine City” are some of the nicknames for A Coruña, Spain, whose motto is “A Coruña, a cidade onde ninguén é forasteiro,” which translates into “A Coruña, the city where nobody is an outsider.”

The articles in this special section focus on computational magnetic resonance imaging (MRI) using compressed sensing applications. Presents recent developments in computational MRI. These developments are pushing the frontier of computational imaging beyond CS. Similar to CS, most of these algorithms rely on image representation in one form or another. 

I have made a concerted effort in my previous editorials to cover topics that embrace our humanity and diversity and touch on issues of social value, the environment, the universe, our history, and science. In it all, I hope that you were able to see the reach and impact of our discipline into the depths of our existence.

In an increasingly networked world, signal processing is leading the way to innovations that promise to raise data throughput and capacity to levels scarcely dreamed of a decade ago.

Since its inception in the early 1970s [1], magnetic resonance imaging (MRI) has revolutionized radiology and medicine. Apart from high-quality data acquisition, image reconstruction is an important step to guarantee high image quality in MRI.