Image copyright THE ART INSTITUTE OF CHICAGO Image caption The vibrant lilacs and purples are restored in the visualisation

Scientists in Chicago have produced a visualisation of Van Gogh's Bedroom in Arles, showing what it would have looked like before its colours faded.

The artist painted three versions of this famous scene, using broadly the same colour scheme.

But time and light degradation have taken their toll on the pigments.

Using a variety of techniques, the researchers have digitally restored the light blue walls and door to their original lilac and purple.

The computer visualisation is part of a major new exhibition at the The Art Institute of Chicago, which brings together all three versions for only the second time since Van Gogh produced them.

It is hoped visitors to the exhibition will get a deeper sense of the emotions the 19th Century artist was trying to convey in the works.

"Science is vital in identifying the pigments that have faded, but then there is a lot of interpretation that we rely on from conservators and art historians who really know the hand of the artist, and know how to dial that virtual knob more or less," explained Dr Francesca Casadio, Mellon Senior Conservation Scientist at the Chicago institute.

"This is just a visualisation of what we think the faded colours looked like, but barring the invention of a time machine it will always still be an approximation."

Dr Casadio was speaking here in Washington at the annual meeting of the American Association for the Advancement of Science.

Image copyright THE ART INSTITUTE OF CHICAGO Image caption The walls and door in the original look today very blue

The Art Institute has one of the bedrooms permanently in its collection. The other two are normally held at the Van Gogh Museum in Amsterdam and the Musee d'Orsay in Paris.

The Chicago team knew there was something not quite right with the colours from the information contained in letters Van Gogh wrote to his brother, Theo, and other artists.

In that correspondence, he sets out very clearly what everything should look like.

"He describes it in detail - that the furniture is yellow, the bedspread is red, and the walls are lilac and the doors purple. Well, today, the wall is light blue," said Dr Casadio.

Taking a tiny flake of wall paint and examining it under the microscope, the team could see remnants of the original pigment. It is a carmine lake, or cochineal, pigment. Extracted from the bodies of certain insects, this pink pigment is vivid but fades rapidly over time.

"Of course, pink and blue makes purple," Dr Casadio adds.

Image caption Van Gogh wanted to convey a sense of calm - which comes from the lilacs and purples

The team then set about investigating the rest of the scene, using X-ray techniques that allowed them to interrogate pigments at the atomic level, and so gauge their original "recipe".

All this information went into the algorithms that make the final representation.

"And when you see the painting today in the visualised form, you get this sense of what the artist wanted - that the painting should convey a sense of repose, of calm. The colour combination should rest the mind, or rather the imagination. And once you have this purple restored, it's also restoring the balance between the complementary colours - the yellow and the purple - and it's really a very different mood to the painting."

The three versions of the Bedroom in Arles were painted over a period in 1888 and 1889.

The great irony is that conservators know that the walls of the house in Arles were actually white-washed.

Media playback is unsupported on your device Media caption Dr Francesca Casadio: "Returning the purple gives a very different mood to the painting"

Jonathan.Amos-INTERNET@bbc.co.uk and follow me on Twitter: @BBCAmos