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### Course: Pixar in a Box>Unit 10

Lesson 2: Mathematics of animation curves

# 4. What degree are these curves?

Bonus! In this video we'll connect the degree of these curves to the number of control points in the construction.

## Want to join the conversation?

• this is too hard for me and what is the difference between linear interpulation and a beziar curve?
• Linear interpolation means, that the change is at a constant rate. Imagine an electric garage door closing or sand in an hourglass running.

Bezier curves allow you to make a change in the speed of the changes, accelerate and decelerate things. Since this is the way most things actually move, the beziers are quite essential to animation.
• I got confused within the first 30 seconds... where does Q=(1-t)A + tB come from??
• I dont understand any of this
• so just call brandon brown jr he can tutor you
• My brain is popping. Can anyone explain this whole video?
• linear equals straight
curve equals curve
• for Q=(t-1)A+tB can A swap with B but still have the same answer?
• The resulting curve would be different, assuming we keep R = (1-t)*B+t*C.

Let's picture the value of Q when we give t values from 0 to 1.
- If we use Q = (1-t)*A + t*B, then Q starts at point A and moves on the line segment toward point B.
- If we use Q = (1-t)*B + t*A, then Q starts at point B and moves on the line segment toward point A.

If you plug in the expressions for Q and R into the equation for P, you'll find that P = t(1-t)*A + (1-t)*B + t^2*C, which is different from the equation for P in the video.
• It is elaborated shortly. Please explain with more ease.