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By Eisenhart L.P.

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Moreover, we call regular meshes those meshes which are defined by the uniform subdivision of a d-cell into scaled copies of it. Note that the vertices of a regular mesh are a subset of the vertices of a regular grid and that all sub-cells with a given dimension d have the same valence vd . A semi-regular mesh is generated by starting with an irregular mesh and applying a uniform refinement operator to each cell. The uniform refinement does not generate new vertices or edges with irregular valences nor does it change the valences of existing elements.

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M. Levoy, K. Pulli, B. Curless, S. Rusinkiewicz, D. Koller, L. Pereira, M. Ginzton, S. Anderson, J. Davis, J. Ginsberg, J. Shade, and D. Fulk. The Digital Michelangelo Project. In Proc. ACM SIGGRAPH, pages 131–144, 2000. 48. J. -C. Jay Kuo. Mesh Connectivity Coding by the Dual Graph Approach, July 1998. MPEG98 Contribution Document No. M3530, Dublin, Ireland. 49. R. Pajarola and J. Rossignac. Compressed Progressive Meshes. IEEE Transactions on Visualization and Computer Graphics, 6(1):79–93, 2000.

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Transformations of Conjugate Systems With Equal Invariants by Eisenhart L.P.

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