We present a novel approach to the problem of hairstyle construction from raw surface data such as the ones obtained from surface scans. Our approach is based on a shape matching algorithm that fits individual hair fibers into a given volume according to a set of boundary conditions and additional hair density information. Our method employs a mechanical rod model based on the special theory of Cosserat rods. Such models can efficiently be used to simulate the deformation of individual fibers in subsequent manipulation steps. Keywords—Hair modeling, hairstyle construction, hair volume, surface data, optimization, fibers, Cosserat rods