1Place a paper towel in a colander, and place the colander over a bowl to collect any draining liquid. Pour yogurt on top of the paper towel. Set in refrigerator for 12 to 24 hours. Use this yogurt curd like cream cheese.
2Mix graham cracker crumbs with 1 teaspoon sugar and butter or margarine. Spread mixture in the bottom of a 9 inch springform pan.
3Mix yogurt curd with 1 cup sugar, eggs, and vanilla. Pour over crust.
4Bake at 325 degrees F (165 degrees C) for 70 minutes, or until done when checked with cake tester. Let sit 24 hours before serving.