Computer Graphics Through OpenGL: From Theory to Experiments, Second Edition Chapter 7 Figure 7.1: Points that split segment PQ. Figure 7.2: Illustration for the proof of Proposition 7.1. Figure 7.3: What are the conditions on c1 and c2 for V = c1P + c2Q to lie on either side of PQ? Figure 7.4: Illustration for the proof of Proposition 7.2. Figure 7.5: A triangle DEF with vertices at the midpoints of the edges of a larger triangle. Figure 7.6: Color values specified at the vertices P1, P2 and P3 of a triangle are interpolated at V . Figure 7.7: Screenshot of Experiment 7.1. Figure 7.8: Screenshot of interpolation.cpp. Figure 7.9: Project, scale and rasterize. Figure 7.10: Convex and non-convex subsets of R2 – non-convexity is indicated by an example of a black line with endpoints in the object but that itself is not contained in it. Figure 7.11: Part answer to Exercise 7.23. Figure 7.12: A rubber band snapping to bound the convex hull of the nails. Figure 7.13: Convex hulls. Figure 7.14: Screenshot of convexHull.cpp. Figure 7.15: V has at least two expressions as a convex combination of P1, P2, P3 and P4. Figure 7.16: A non-planar quad q drawn in two different ways.
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