Generalized Map Makers Problem Optimal Flattening of Polyhedral Surfaces

Cover Generalized Map Makers Problem Optimal Flattening of Polyhedral Surfaces
Generalized Map Makers Problem Optimal Flattening of Polyhedral Surfaces
Eric L Schwartz
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This suggestion is reinforced by the plot of the stress as a function of iterations, shown at the lower right. In this parameter (which determines the overall least-squares goodness of fit) there is some large oscillation early in the run; but after about 100 iterations, all three runs converge to the same stress and to the same geometric solution. The curved appearance of these figures is an illusion caused by the curved nature of the original polyhedron. In fact, all three of these examples a...re of course planar representations.
For this model, minimal distances were calculated usuing the algorithm of Wolf- son and Schwartz (1986). Use of an eight-node neighborhood of the 600-node model limited the size of the distance matrixes.
Figure 3a. NOTE; ORIGINAL FIGURE IS GRAY SCALE FOR JOURNAL REPRODUCTION. A block of monkey brain. The smooth roof (operculum) of visual cortex is the bullet- shaped region at the left.
- 9- Figure 3b. NOTE: ORIGINAL FIGURE IS GRAY SCALE FOR JOURNAL REPRODUCTION.


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