Roll out pastry on a lightly floured surface. Using a 2-1/2 inch cookie cutter, cut out 12 circles from each pastry. Press rounds onto the bottoms and up the sides of greased miniature muffin cups. Prick bottoms with a fork.
Bake at 450 degrees for 8-10 minutes. Cool for 5 minutes before removing from pans to wire racks.
In a large bowl, beat the cream cheese, yogurt, and confectioners sugar until smooth. Stir in 1/2 cup of the curd. Spoon into tart shells; top with remaining curd. Garnish with whipped cream, if desired.