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Computational design of structures and materials requires multiscale models to represent geometry and physical properties. In this paper, we propose a multiscale heterogeneous model, dual-Rep, to represent geometry and property distribution implicitly. A new basis function, called surfacelet, is proposed to capture boundary information more efficiently than traditional wavelets. Zoom operations are defined to support multiscale design. A method of materials model reconstruction from images is also developed.

Multiscale Heterogeneous Modeling with Surfacelets