ISTANBUL — The models, tall and lithe and strutting down the runway to the beat of Moroccan-themed house music, are from Russia and Eastern Europe. They could be displaying the latest designer styles in Paris or New York, but instead they are here, in Istanbul, wearing high heels, flowing tunics and colorful head scarves.

The fashion show, part of Istanbul Modest Fashion Week, was held at an Ottoman-era railway station, with old-fashioned train cars and vintage luggage as props.

This is not the Islamic fashion of Riyadh or Kabul, nor is it the dark and dreary dress stereotyped in the West. Islamic fashion here is a colorful, creative and joyful enterprise. It is also a huge business.