Geometry-aware upcycling of architectural tessellations

We propose a novel method to reuse panels from existing architectural structures by rearranging elements from a source structure to cover a given tessellation on a target surface. The method alternates between a sequence of global optimization steps, which determine the optimal panel assignment, and smooth deformation stages, which adapt the panels that cannot be directly reused to satisfy the new constraints. During the rearrangement process, adjacent panels on the resulting surface may exhibit limited mismatches, and the reconstructed surface may deviate from the target shape. Both effects are explicitly controlled by user-specified bounds on the allowable panel discrepancy and geometric deviation. We demonstrate the effectiveness of the proposed pipeline on several practical examples, including triangular, quadrilateral, and hexagonal tessellations.