Publication 2004 Issue No. 4 - July/August Abstract - Multiresolution Indexing of Triangulated Irregular Networks
Multiresolution Indexing of Triangulated Irregular Networks
July/August 2004 (vol. 10 no. 4)
pp. 484-495
 ASCII Text x John J. Bartholdi, Paul Goldsman, "Multiresolution Indexing of Triangulated Irregular Networks," IEEE Transactions on Visualization and Computer Graphics, vol. 10, no. 4, pp. 484-495, July/August, 2004.
 BibTex x @article{ 10.1109/TVCG.2004.14,author = {John J. Bartholdi and Paul Goldsman},title = {Multiresolution Indexing of Triangulated Irregular Networks},journal ={IEEE Transactions on Visualization and Computer Graphics},volume = {10},number = {4},issn = {1077-2626},year = {2004},pages = {484-495},doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2004.14},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Visualization and Computer GraphicsTI - Multiresolution Indexing of Triangulated Irregular NetworksIS - 4SN - 1077-2626SP484EP495EPD - 484-495A1 - John J. Bartholdi, A1 - Paul Goldsman, PY - 2004KW - Triangulated irregular networkKW - TINKW - space-filling curveKW - hierarchical triangulationKW - multiresolution triangulationKW - triangle meshKW - spatial index.VL - 10JA - IEEE Transactions on Visualization and Computer GraphicsER -

Abstract—We show how to build a continuous, one-dimensional index of the points on a triangulated irregular network (TIN). The index is constructed by first finding an ordering of the triangles in which consecutive triangles share a vertex or an edge. Then, the space within each triangle is continuously indexed with a space-filling curve that begins at one vertex of the triangle and ends at another. The space-filling curve is oriented such that the first point in each triangle is a vertex shared with the previous triangle and the last point is a vertex shared with the next triangle. Furthermore, our index can be refined locally and, therefore, efficiently when the TIN is augmented by filling any face with another TIN (to make a hierarchical TIN). Such processes arise, for example, in the elaboration of detail on a graphical surface.

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Index Terms:
Triangulated irregular network, TIN, space-filling curve, hierarchical triangulation, multiresolution triangulation, triangle mesh, spatial index.
Citation:
John J. Bartholdi, Paul Goldsman, "Multiresolution Indexing of Triangulated Irregular Networks," IEEE Transactions on Visualization and Computer Graphics, vol. 10, no. 4, pp. 484-495, July-Aug. 2004, doi:10.1109/TVCG.2004.14