We present a multiple description coding (MDC) scheme for 3-D plane-based surfaces. First, planes are split into two disjoint subsets, called descriptions, each of which provides an equal contribution in 3-D surface reconstruction. To optimize the quality of the decoded surface, planes in each description are adaptively compressed according to the channel error condition. Then, the two compressed bitstreams are transmitted over distinct channels to the decoder. At the decoder, if both channels are available, the two bitstreams are decoded and merged together to reconstruct a high quality surface. If only one channel is available, we employ a hole filling method to fill visual holes and reconstruct a smooth 3-D surface. Therefore, the proposed algorithm provides an acceptable 3-D surface, even when one channel is totally lost.