The paper presents a method for digitally previewing a smocking pattern design by formulating smocking as a graph embedding and shape deformation problem.

The paper introduces an alternating minimization algorithm utilizing the Cauchy-Green complex coordinates to efficiently compute a conformal map between planar domains with initial global alignment.

The paper explores Hele-Shaw flow, a slow viscous liquid flow between parallel plates, proposing an efficient simulation method using a complex-variable formulation of generalized barycentric coordinates, enabling interactive user control and extending applicability to the exterior domain for simulating two-phase flow and diverse patterns.

The paper presents an algoirthm for computing the visual hull of a parameteric surface in an arrangement of additional occluding surfaces.