This book constitutes the refereed proceedings of the 13th IMA International Conference on the
Mathematics of Surfaces held in York UK in September 2009. The papers in the present volume
include seven invited papers as well as 16 submitted papers. The topics covered include
subdivision schemes and their continuity polar patchworks compressive algorithms for PDEs
surface invariant functions swept volume parameterization Willmore flow computational
conformal geometry heat kernel embeddings and self-organizing maps on manifolds mesh and
manifold construction editing flattening morphing and interrogation dissection of planar
shapes symmetry processing morphable models computation of isophotes point membership
classification and vertex blends. Surface types considered encompass polygon meshes as well as
parametric and implicit surfaces.