Paris (CNN) - French police arrested two veiled women protesting the country's law banning face-hiding Islamic burqas and niqabs Monday, just hours after the legislation took effect.

The arrests outside Notre Dame Cathedral in Paris were not for wearing the prohibited garments. Police say the women were instead arrested for participating in an unauthorized protest. But the incident reflected the high passions the ban has incited among some Muslims.

One woman who disapproves of the ban said no one forces her to wear the niqab, a full-face veil with an opening for her eyes, and she should be left alone.

"I've not committed a crime," said Hind Amas, who was not among those arrested. "I'm walking peacefully in the street. I've not attacked anyone."

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The ban pertains to the burqa, a full-body covering that includes a mesh over the face, as well as the niqab.

The hijab, which covers the hair and neck but not the face, and the chador, which covers the body but not the face, apparently are not banned by the law.

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"The ban does not target the wearing of a headscarf, head gear, scarf or glasses, as long as the accessories do not prevent the person from being identified," the Interior Ministry said in a statement.