To warp or morph a surface in we must be able to triangulate the surface. Let , , and be
Chapter 10, Problem T1(choose chapter or problem)
To warp or morph a surface in we must be able to triangulate the surface. Let , , and be three noncollinear vectors on the surface. Then a vector lies in the triangle formed by these three vectors if and only if v is a convex combination of the three vectors; that is, for some nonnegative coefficients , , and whose sum is 1. (a) Show that in this case, , , and are solutions of the following linear system: In parts (b)(d) determine whether the vector v is a convex combination of the vectors , , and . (b) (c) (d)
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