Spectral Geometry in Architectural Design
Spectral geometry bridges mathematics and design by linking geometric properties to the eigenvalues of differential operators on surfaces. While well established in geometry processing, its adoption in architectural geometry and structural engineering has been limited. This research explores how spectral methods can provide new opportunities for shape modeling and design in architecture, opening pathways for more efficient and innovative structural solutions. Spectral Methods in Shape Modeling The use of spectral methods in shape modeling introduces new possibilities for architectural geometry by providing mathematically grounded tools for analyzing and optimizing forms. By applying eigenvalue-based techniques to surfaces and meshes, architects and engineers can unlock alternative workflows for modeling complex structures, enabling both precision and creativity. Anisotropic Laplacian Operators for Design Flexibility A key inn...