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Triangular matrix-based lossless compression algorithm for 3D mesh connectivity

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Abstract

Three-dimensional mesh compression is vital to support advances in many scenarios, such as 3D web-based applications. Existing 3D mesh methods usually require complex data structures and time-consuming processing. Given a mesh represented by its vertices and triangular faces, we present a novel, fast, and straightforward encoding algorithm. Our method encodes the mesh connectivity data based on an upper triangular matrix which is easily recovered by its underlying decoding process. Our technique encodes the mesh edges in linear time without losing any face in the process. Results show that our method provides a connectivity compression rate of 55.29 and an average total compression rate of 27.09. Furthermore, our approach achieves, on average, a similar compressing rate of state-of-the-art algorithms, such as OpenCTM, which considers geometry and connectivity, while our approach considers only their connectivity.

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All data generated or analyzed during this study are included in this published article.

Notes

  1. We claim this is a fair assumption even in coded representations since our method starts by indexing the existing vertices from the mesh.

  2. https://openctm.sourceforge.net/?page=performance. Accessed on July 2nd, 2023.

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Acknowledgements

This study was partially financed by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001 and Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul (FAPERGS).

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  1. Institute of Informatics, Federal University of Rio Grande do Sul, Ave. Bento Gonçalves, 9500, Porto Alegre, RS, 91501-970, Brazil

    Dennis G. Balreira & Thiago L. T. da Silveira

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  1. Dennis G. Balreira
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Balreira, D.G., da Silveira, T.L.T. Triangular matrix-based lossless compression algorithm for 3D mesh connectivity. Vis Comput (2024). https://doi.org/10.1007/s00371-024-03400-8

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