Adaptive contouring with quadratic tetrahedra

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Abstract

We present an algorithm for adaptively extracting and rendering isosurfaces of scalar-valued volume datasets represented by quadratic tetrahedra. Hierarchical tetrahedral meshes created by longest-edge bisection are used to construct a multiresolution C0-continuous representation using quadratic basis functions. A new algorithm allows us to contour higher-order volume elements efficiently.

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Gregorski, B. F., Wiley, D. F., Childs, H. R., Hamann, B., & Joy, K. I. (2006). Adaptive contouring with quadratic tetrahedra. In Mathematics and Visualization (Vol. 0, pp. 3–15). Springer Heidelberg. https://doi.org/10.1007/3-540-30790-7_1

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