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. Author manuscript; available in PMC: 2011 Dec 21.
Published in final edited form as: Phys Med Biol. 2011 May 25;56(12):3669–3684. doi: 10.1088/0031-9155/56/12/014

Figure 2.

Figure 2

To approximate the Pareto frontier a sandwiching scheme is used. The two red dots denote the criterion vectors of two computed plans. A lower bound for the Pareto surface with respect to plan quality is given by the convex combinations of the two plans' criterion vectors: (1 − t)f(x1) + tf(x2) (red line). The blue area is guaranteed to contain no feasible criterion vectors as the two plans' tangent planes to the Pareto surface provide an upper bound for the Pareto set with respect to plan quality.