Creating 3-D images, with regular ink

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This month, 5,000 distinctive cans of Fuzzy Logic beer will appear on local shelves as part of Massachusetts-based Portico Brewing’s attempt to stand out in the aesthetically competitive world of craft beer.

The cans feature eye-catching arrays of holographic triangles that appear three dimensional at certain angles. Curious drinkers might twist the cans and guess how Portico achieved the varying, almost shining appearance. Were special lenses or foils used? Are the optical effects the result of an expensive, holographic film?

It turns out it takes two MIT PhDs to fully explain the technology behind the can’s appearance. The design is the result of Portico’s collaboration with Lumii, a startup founded by Tom Baran SM ’07 PhD ’12 and Matt Hirsch SM ’09, PhD ’14.

Lumii uses complex algorithms to precisely place tens of millions of dots of ink on two sides of clear film to create light fields that achieve the same visual effects as special films and lenses. The designs add depth, motion, and chromatic effect to packages, labels, IDs, and more.

“We describe [the technology] differently to different crowds,” Baran says. “You can formulate this as a machine learning problem or a signal processing problem, but basically at the end of the day we think of it as an optimization problem. To produce a three-dimensional image, you could place dots of ink so that you get a perfect rendition of a three-dimensional image from one perspective. Then you could rotate the print and say, ‘Well now the perspective is off, so I need to readjust all of the dots,’ and that will mess things up from the first perspective. We make it possible to have a three-dimensional image using just two layers of ink from as many perspectives as possible.”

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