Main content

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

Lesson 1: Introduction to animation- Start here!
- Math meets artistry
- 1. Straight ahead animation
- Straight ahead animation
- 2. Linear interpolation
- Animation with linear interpolation
- 3. Bezier curves
- Animation with Bezier curves
- 4. Squash and stretch
- Squash and stretch animation with Bezier curves
- Animation 101
- Getting to know Rob Jensen
- Save your animation
- Hands-on activity: animating Luxo Jr.

© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# 3. Bezier curves

Bézier curves make it easier to create smooth motion in animations by forming natural transitions between key poses. We can adjust the handles on a curve to shape the graph and produce more fluid movement.

## Want to join the conversation?

- Are Bezier curves generated using the concept of parabolic arcs introduced in the previous sections?(5 votes)
- What do you mean with next section? The only thing I found was a course called "Mathematics of linear interpolation" in the next part of the animation series. Can you give a link to the thing you are reffering to pls?(3 votes)

- Is this in 3d printing? Because I know that in the program i used we used the spline command(4 votes)
- um how does codes work with this(2 votes)
- OMG this is so hard

h-how do we do it.😐(2 votes) - at0:22what does smooth mean(1 vote)
- when he said Smooth he meant that the animation was going to be nice and fluent not chunky.(2 votes)

- At0:36he explains how to do it :)(1 vote)
- How do we do the practice promblems? Please help!(1 vote)
- Alright, now I'm a math whiz, so don't be shy. What is the math behind the Bezier Curves?(1 vote)
- i dont get it too quick(1 vote)
- I'm still having trouble with the y and x axis so yeah.(1 vote)

## Video transcript

(light clicks) (jettison pod whooshes)
(air ship whines) - You probably noticed that
in order to get smooth motion, you ended up having to pose the ball in pretty much every frame. The computer's helping, but
it's still a lot of work to get something that looks smooth. Instead of linear interpolation, we can use something called Bézier curves. If you've ever used design
or drawing software, you've probably used Bézier
curves without even knowing it. This is named after a French
engineer, Pierre Bézier, who invented this method to describe the smooth curves needed
when designing cars. These kinds of functions made up of Bézier curves are called splines. I also mentioned them in the first video. Bézier curves come with
these handles that let us control the shape of the
graph between our key poses. We get this nice curve that
eases out of the first pose, and ramps down to the second one. If you look at how these values map, you can see something that looks
just like our timing chart. Now you try it out. You should be able to get much smoother motion using Bézier curves. (ball smacks rhythmically)