Analytic Methods for Modern Design and Manufacturing

Mathematical morphology provides a strong foundation for creation of computational design tools for additive/subtractive manufacturing, including manufacturability analysis, planning, and design correction for solid parts made by depositing or removal of materials. This talk overviews some of the recent developments, existing challenges, and future directions in applying such tools to digital design and manufacturing. In particular, I will discuss an emerging paradigm of 'analytic methods' that reformulate a vast array of important geometric operations in the language of measure-theory, convolution algebra, and digital signal processing, and show its great promise for extending the computational design technology for traditional manufacturing to modern material structures and fabrication processes.