What religious sects refuse to have their pictures taken because they believe it captures their souls?

The religious belief that a photograph can steal a soul, imprisoning it within its amalgam of polyester, celluloid, salts and gelatin (or perhaps a CCD if you are into digital photography) is still shared by many cultures across the globe. From Native Americans to the Aborigines of Australia, there are those who refuse to be photographed.

http://photo.net/philosophy-of-photography-forum/00DnuX

Many Amish believe that photographs in which they can be recognized violate the Biblical commandment, ‘Thou shalt not make unto thyself a graven image.’ Photographs are an evidence of pride, in which people are tempted to look at a likeness of themselves with self admiration…Pictures, they say, represent simply the outward appearance, which is temporary; and in paying too much attention to the passing, there is always danger of losing sight of the eternal and the spiritual.

In the latter part of the nineteenth century, as photography was becoming popular, the Amish applied the biblical injunction against ‘likeness’ to photographs. Their aversion to photographs is a way of suppressing pride. If people see themselves displayed in a photograph, they might begin to take themselves too seriously.

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https://amishamerica.com/what-do-amish-think-about-photography/