Computational homogenization methods offer deeper insights into the mechanical behavior of heterogeneous materials, often exhibiting complex anisotropic properties due to intricate manufacturing processes. Micromechanical techniques exploit the knowledge of the material's microstructure to predict effective behavior. Digital material data, represented as voxels, require processing numerous image points. Despite the computational power of modern fast Fourier transform-based numerical solvers, performance improvements are still valuable. The composite voxel technique, in its original form, furnishes voxels containing more than one material with a surrogate material law, resulting in higher accuracy. This work contributes to the understanding and application of composite voxels in computational micromechanics by integrating them into a level-set-based framework, providing a detailed methodology for deriving laminate composite properties using the formulas of Mirtich, and demonstrating their potential to enhance computational performance through a numerical example.