We address the problem of texture mapping implicit surfaces. Recent work in providing 2D mappings for implicit surfaces maps points from a auxiliary parametric surface to the implicit surface. In this work we extend this method by observing that all commonly used skeletal elements are easily parametrized and can be their own support surfaces. In areas of a surface which are due to multiple skeletal primitives we compute a mapping through relations found with the zero level surface of a primitive by using the gradient eld.