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Wavelet-Based Multiple Description Coding of 3-D Geometry
Wavelet-Based Multiple Description Coding of 3-D Geometry
Andrey Norkina, M. Oguz Bicib, Gozde Bozdagi Akarb, Atanas Gotcheva,
and Jaakko Astolaa
aInstitute of Signal Processing, Tampere University of Technology, Tampere, Finland;
bMiddle East Technical University, Ankara, Turkey.
ABSTRACT
In this work, we present a multiple description coding (MDC) scheme for reliable transmission of compressed
three dimensional (3-D) meshes. It trades off reconstruction quality for error resilience to provide the best
expected reconstruction of 3-D mesh at the decoder side. The proposed scheme is based on multiresolution
geometry compression achieved by using wavelet transform and modified SPIHT algorithm. The trees of wavelet
coefficients are divided into sets. Each description contains the coarsest level mesh and a number of tree sets
coded with different rates. The original 3-D geometry can be reconstructed with acceptable quality from any
received description. More descriptions provide better reconstruction quality. The proposed algorithm provides
flexible number of descriptions and is optimized for varying packet loss rates (PLR) and channel bandwidth.
Keywords: Multiple description coding, 3-D geometry, meshes, SPIHT, wavelets, error resilience.
1. INTRODUCTION
3-D models are widely used nowadays. The most common representation for 3-D objects is a surface based
triangle mesh.1 Achieving high quality models requires large number of triangles. Therefore, compressing mesh
data is necessary due to storage space and bandwidth limitations. A great number of 3-D mesh compression
schemes have been proposed in the literature.2 In multimedia applications such as virtual presence, internet
computer games, e-commerce, tele-medicine, object-based video compression, 3DTV, 3-D meshes need to be
communicated in a networked environment. However, in a typical network, packets may be lost or delayed
because of congestions and buffer overflow. There are several error-resilient coding schemes f
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