Explore the fascinating world of convex hulls, curves, volumes, and signatures in this 16-minute conference talk presented at GSI. Delve into the mathematical concepts and applications of these geometric structures, gaining insights into their properties and relationships. Learn how convex hulls are formed around curves, understand the calculation of volumes within these shapes, and discover the significance of signatures in this context. Enhance your knowledge of computational geometry and its practical implications in various fields such as computer graphics, robotics, and data analysis.