7. You are doing some 3D interpolation using barycentric coordinates in a tetrahedron with vertices Pi (2,2,1), P2 (4,3, 1), Ps (1,3, 2), and Pa (1,3, 4). %3! %3D %3D a. A point Q has barycentric coordinates (0.3, 0.2, 0.1, 0.4). What are its Carte- sian coordinates? b. If function values at the vertices are f(P) = 3.13, f(P) = 2.94, S(P) = 3.17, and f(P.) = 3.4, what is the linearly interpolated value of f(Q)? %3D %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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7. You are doing some 3D interpolation using barycentric coordinates in a tetrahedron
with vertices P (2, 2, 1), P = (4, 3, 1); Ps = (1,3, 2), and Pa (1,3, 4).
%3D
%3D
a. A point Q has barycentric coordinates (0.3, 0.2, 0.1, 0.4). What are its Carte-
sian coordinates?
b. If function values at the vertices are f(P) = 3.13, S(P) = 2.94, f(Ps) = 3.17,
and f(P.) = 3.4, what is the linearly interpolated value of f(Q)?
%3D
%3D
Transcribed Image Text:7. You are doing some 3D interpolation using barycentric coordinates in a tetrahedron with vertices P (2, 2, 1), P = (4, 3, 1); Ps = (1,3, 2), and Pa (1,3, 4). %3D %3D a. A point Q has barycentric coordinates (0.3, 0.2, 0.1, 0.4). What are its Carte- sian coordinates? b. If function values at the vertices are f(P) = 3.13, S(P) = 2.94, f(Ps) = 3.17, and f(P.) = 3.4, what is the linearly interpolated value of f(Q)? %3D %3D
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