The Mathematics of Surfaces

These essays examine the mathematical techniques used to describe and analyze surfaces in three-dimensisonal Euclidean space. The contributors consider basic mathematical tools such as computational geometry, parametric representation for computer-aided design, classical differential geometry, and differential forms. Other papers consider algorithms for multivariate splines, recursive division techniques, surface intersections, principal surface patches (including cyclide surfaces), N-sided patches, Gaussian curvature and shell structures, and flexible surface structures.