Author Archive

Newton, Newton, Newton

So far we have studied Newton’s method for root finding, Newton’s method for polynomial interpolation, and the Newton-Cotes methods for numerical integration.  You’ve probably also heard of Newton’s laws of planetary motion, Newton’s three laws of motion, Newton’s  and the SI unit of force, the Newton.
We owe a lot to Sir Isaac Newton.  Among these […]

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Why Penguins Hate Least-Squares Solutions

You’re probably wondering what this gif has to do with least-squares, or CS 322 in general. Well, it is actually a demonstration of some of Dr. James’s research (along with Alec Rivers), into the deformation of objects, and guess what, the underlying algorithm does in fact use a least squares approximation to get those […]

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Radiosity, or Illuminating 3D graphics.

By now, we are all familiar with using ray tracing to find implicit surfaces, yet that is clearly not enough for us to render a surface.  For that we need to know what the color the object is, and how well it is lit.  If we wanted to be realistic, we’d also need to know […]

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