Prepare the Graham Cracker Crust: Combine graham cracker crumbs and melted butter in a bowl. Press the mixture firmly into the bottom of a 9-inch springform pan.
Make the Cheesecake Filling: In a large bowl, beat softened cream cheese until smooth. Gradually add powdered sugar and vanilla extract, beating until well combined. Gently fold in the whipped cream until evenly incorporated.
Assemble the Cheesecake: Pour the cheesecake filling over the graham cracker crust in the springform pan. Smooth the top with a spatula.
Prepare the Strawberry Topping: In a saucepan, combine sliced strawberries, sugar, cornstarch, and water. Cook over medium heat, stirring constantly, until the mixture thickens and becomes glossy. Remove from heat and let cool slightly.
Add Strawberry Topping: Spoon the cooled strawberry topping evenly over the cheesecake filling.
Freeze: Place the assembled cheesecake in the freezer for at least 4 hours, or until completely frozen solid.
Prepare for Freeze-Drying: Remove the frozen cheesecake from the springform pan. Cut into individual slices or desired shapes.
Freeze-Dry: Arrange the frozen cheesecake pieces on the trays of a freeze-dryer, ensuring they are not touching. Follow the manufacturer's instructions for your freeze-dryer to complete the freeze-drying process (typically 12-24 hours).
Storage: Once the freeze-drying process is complete, store the freeze-dried strawberry cheesecake in an airtight container in a cool, dry place.
Optional Tips: For a gluten-free version, use gluten-free graham crackers. To enhance the strawberry flavor, add a few drops of strawberry extract to the cheesecake filling. Vary the fruit component using freeze-dried blueberries or raspberries.