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Jim Blinn's Corner: Notation, Notation, Notation by Jim Blinn

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Chapter Three

How to Draw a Sphere Part III, The Hyperbolic Horizon

September 1995

u03-01-9781558608603

Our Story So Far

We want to draw a sphere. Actually, we want to draw an arbitrarily scaled and oriented ellipsoid. In Chapter 1, I showed some matrix algebra for describing, transforming, and intersecting points, planes, and quadric surfaces (of which a sphere is a special case). In Chapter 2, I defined some useful coordinate systems and transformations. I'll use the same notation conventions defined there. Let's list what we have done so far.

Inputs

We are given the following:

 Qd—A matrix describing a unit radius sphere in its definition coordinate system:

Qd=100001

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