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TABLE 6 SPHERICAL HARMONIC BASIS FUNCTIONS
1993
Cited by 1
Table 1. L1 errors for the spherical harmonic expansion of the function f( ; )
1997
"... In PAGE 11: ... Notice in Figure 1 that the Gibbs phenomenon is prevalent at both boundaries as well as in the middle. The spherical harmonic expansion of f( ; ) produce the L1 errors displayed in Table1 . Although the errors away from the discontinuity... ..."
Cited by 11
Table 8 it can be seen that the transformation to spherical harmonics requires
in and
"... In PAGE 108: ...Table8 . Gaussianintegrals and SCF timings for N2 on CRAY X-MP/48 _ (in seconds).... ..."
Table 5.1 Comparison of Spherical Harmonic K index
2004
Table 5.4 Comparison of Spherical Harmonic K index
2004
Table 1. Electrostatic Polarization Contribution to the Solvation Free Energy (kcal/mol) of 1,2-Dichloroethane as a Function of the Highest-Order Spherical Harmonic in the Spherical Harmonic Expansion.a
1999
"... In PAGE 6: ...g., a recent calculation205 of the electrostatic part of the solvation free energy of trans-1,2-dichloroethane in acetonitrile is pre- sented as an example in Table1 . For this small molecule, the results are converged within 7% at lmax ) 8.... ..."
Cited by 6
Table 1. Electrostatic Polarization Contribution to the Solvation Free Energy (kcal/mol) of 1,2-Dichloroethane as a Function of the Highest-Order Spherical Harmonic in the Spherical Harmonic Expansion.a
"... In PAGE 6: ...g., a recent calculation205 of the electrostatic part of the solvation free energy of trans-1,2-dichloroethane in acetonitrile is pre- sented as an example in Table1 . For this small molecule, the results are converged within 7% at lmax ) 8.... ..."
Table 3: Iso-surface refinement and extraction times (in sec.) and triangle count for the spherical harmonics
"... In PAGE 9: ...(a) Level 6, 58,491 vertices (b) Level 7, 80,111 vertices (c) Level 8, 89,505 vertices Figure 2: Mesh of an iso-surface from the spherical harmonic data set at different levels of resolution in the images appearing as shadows, because the normals used for shading do not correspond to the normals of the tri- angles at coarser levels. In Table3 we give timing results for the iso-surface ex- traction and for the iso-surface refinement algorithm for the spherical harmonic data set. Together with the time informa- tion we include the number of triangles in the iso-surface at each level of resolution.... ..."
Table 1. Root-mean-square errors. Illumination Spherical Harmonics Haar Wavelets
2004
"... In PAGE 7: ... On the other hand, the method based on Haar wavelets successfully reproduces cast shadows (c and f) in the real images (a and d). In addi- tion, Table1 shows that the RMS error in the method using spherical harmonics becomes larger than that in the method using Haar wavelets. Hence, it can be concluded that the method using Haar wavelets works reliably also for real im- ages.... ..."
Cited by 4
Table 1: Mesh refinement and coarsening times (in sec.) for the spherical harmonic data set
"... In PAGE 8: ... Even for those large compression fac- tors, the quality of the approximation is very good as it can be seen in Figure 3. In Table1 we give for various hierarchy levels the total number of vertices, (regular) tetrahedra, octahedra, and ir- regular elements for the spherical harmonic data set together with the CPU times for incremental mesh refinement and coarsening. In Table 2 the same information is given for the abdomen data set.... ..."
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