Abstract: This work presents a new general approach for applying textures onto implicit surfaces. Its main contributions are: - An improved set of interactive tools for subdividing implicit surfaces into convenient patches. - An efficient and reliable algorithm for deriving parameterizations for these patches. - A new set of useful texturing operations. These results provide a unified representation scheme for a variety of texturing techniques that were previously incompatible, allowing more efficient manipulation, storage, and rendering of textured objects and a fuller use of current texture mapping hardware.