We talked about two ways to evaluate this, but I'm wondering if one algorithm is preferred in practice (e.g. for speeds, numerical stability, or depends on computation model like GPU/CPU)?

chetanaramaiyer

I definitely understand the de Casteljau on the earlier slides. But I'm a little confused when it comes to applyin de Casteljau on the surfaces. Just to make sure I understand, is this method suggesting that we use de Casteljau to evaluate the four points that are on the gray line first to create four Bezier curves (four gray lines). Then we use de Casteljau on those four Bezier curves with a "moving Bezier curve" (which is the blue line) to create a surface?

We talked about two ways to evaluate this, but I'm wondering if one algorithm is preferred in practice (e.g. for speeds, numerical stability, or depends on computation model like GPU/CPU)?

I definitely understand the de Casteljau on the earlier slides. But I'm a little confused when it comes to applyin de Casteljau on the surfaces. Just to make sure I understand, is this method suggesting that we use de Casteljau to evaluate the four points that are on the gray line first to create four Bezier curves (four gray lines). Then we use de Casteljau on those four Bezier curves with a "moving Bezier curve" (which is the blue line) to create a surface?

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