We describe a new shape operator that superimposes wrinkles on top of a smooth parametric surface. Previous research on wrinkles focused mostly on fabrics, attempting to predict how a given piece of cloth would drape under prescribed simple boundary conditions. Our work provides a parametric tool to a CAD operator, which can specify a few basic parameters such as wrinkle magnitude and extent (these terms will also be defined) to generate wrinkle-shaped deformations along prescribed curves on a surface. The essential geometric transformation to map the smooth surface to a wrinkled one will be defined purely in terms of the geometry of the surface and the input parameters. Our model is based on two surface properties: geodesic offsets and Gaussian curvature. Practical implementation of th...[ Read more ]

We describe a new shape operator that superimposes wrinkles on top of a smooth parametric surface. Previous research on wrinkles focused mostly on fabrics, attempting to predict how a given piece of cloth would drape under prescribed simple boundary conditions. Our work provides a parametric tool to a CAD operator, which can specify a few basic parameters such as wrinkle magnitude and extent (these terms will also be defined) to generate wrinkle-shaped deformations along prescribed curves on a surface. The essential geometric transformation to map the smooth surface to a wrinkled one will be defined purely in terms of the geometry of the surface and the input parameters. Our model is based on two surface properties: geodesic offsets and Gaussian curvature. Practical implementation of this operator will be discussed, and examples presented. Finally, the motivation for the operator will be given through its application in the computer-aided design of footwear.