Answer:
4.3.1.1 Cell Classification
After active cells have been extracted, cell classification consists of testing the values of the cell's vertices with respect to the query value, in order to devise the topology of the isosurface patch inside the active cell. Cell classification is generally not a critical task in the isosurface extraction process. However, this step can be slightly improved by exploiting the fact that indices of vertices in the connectivity list of each cell can be stored in ascending value of field. In this case the first and last vertices of the list correspond to the minimum and maximum and therefore they are implicitly classified because the cell is active. This implies that cell classification can be performed with at most ⌊log2(x−2)⌋ + 1 tests for a cell with x vertices, by using bisection (i.e., either two or three tests in the worst case, depending on the type of cell).
Explanation:
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