The court in Versailles, outside Paris, will hear arguments from the lawyer of Cassandra Belin, 20, that the ban on the veil -- in place since 2011 -- is discriminatory and unconstitutional but she will shun the hearing.
"She does not want to be wrongly perceived as the symbol of a supposed rampant Islamisation," Belin's lawyer Philippe Bataille said.
Belin, who converted to Islam at the age of 15, was stopped by police in the gritty town of Trappes west of Paris on July 18 -- during the Muslim Ramadan fasting period -- for wearing the veil in public.
He was later found guilty and got a three-month suspended sentence. The incident sparked riots in Trappes, which has a large immigrant population.
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The ensuing violence drew hundreds of protestors. They set fire to bins, destroyed bus stops and hurled stones at police.
Belin went on trial in October for defying the ban and insulting a police officer but her lawyer launched a constitutional challenge and the Versailles court postponed the case to today to consider defence claims that the charges are unconstitutional.
Bataille says the ban impinges on freedom of religion, of movement and goes against human dignity.
But many then interpreted it as a sign targeting Islamic veils, arguing that helmets worn by motorcyclists also covered the face.