Saturday, December 27, 2014

[arzbmnls] Two parameter shape

Given a geometric shape parametrized by only one continuous parameter, it is often easy to discover the value of the parameter by binary search along a line, comparing it with the given shape.

However, with two or more parameters, things might become more difficult.

The original motivation was to create an infinite collection of new shapes distinctly different from the "endpoints" by morphing a linear combination of three different shapes.

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