MESHGRID is a novel, compact, multi-scalable and animation-friendly 3D object representation method, which is part of MPEG-4, and which resides in the Animation Framework Extensions (AFX) toolset. The paper introduces the novel concept of local error control for arbitrary mesh encoding. In this sense, the paper proposes a new wavelet-based L ∞ -constrained coding technique for MESHGRID models, generating a fully scalable L ∞ -oriented bit-stream. The advantages of scalable L ∞ -oriented coding over 2 L coding are experimentally demonstrated.