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www.reedbeta.com | ||
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thenumb.at
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| | | | | Or, where does that \(\sin\theta\) come from? Integrating functions over spheres is a ubiquitous task in graphicsand a common source of confusion for beginners. In particular, understanding why integration in spherical coordinates requires multiplying by \(\sin\theta\) takes some thought. The Confusion So, we want to integrate a function \(f\) over the unit sphere. For simplicity, lets assume \(f = 1\). Integrating \(1\) over any surface computes the area of that surface: for a unit sphere, we should end... | |
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thenumb.at
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vankessel.io
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| | | | | A blog for my thoughts. Mostly philosophy, math, and programming. | |
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blog.otoro.net
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| | | GitHub | ||
