Media Summary: Where does the string touch the parabola? See if you can come up with your hypothesis! Watch the next lesson: ... How can we calculate a weighted average between Let's apply what we just learned to calculate the touching point. Watch the next lesson: ...

2 Midpoint Formula Environment Modeling Computer Animation Khan Academy - Detailed Analysis & Overview

Where does the string touch the parabola? See if you can come up with your hypothesis! Watch the next lesson: ... How can we calculate a weighted average between Let's apply what we just learned to calculate the touching point. Watch the next lesson: ... We need to be careful with the order of scaling and translation. But why? Watch the next lesson: ... Okay we know how to calculate the touching point, great! Next let's think about how we can prove this is true. Watch the next ... One way we can prove that we are calculating the actual touching point. Watch the next lesson: ...

Now let's think about how subdivision would work in 3D. Watch the next lesson: ... Next lets build a diagram that break rotation into smaller parts. The next exercise will give us a chance to build our understanding ... Next let's build a blade of grass using a parabolic arc as a spine. Click here to review perpendicular lines. Watch the next lesson: ... Next we need to throw away the slope-intercept form and use the line Let's start by drawing every frame, one by one... Watch the next lesson: ... Overview of this topic Watch the next lesson: ...

Next let's extend the averaging step from the previous lesson to include multiple points. Now we'll need to calculate positions ...

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2. Midpoint formula | Environment modeling | Computer animation | Khan Academy
2. Where is the touching point? | Environment modeling | Computer animation | Khan Academy
1. Weighted average of two points | Environment modeling | Computer animation | Khan Academy
3. Compute the touching point | Environment modeling | Computer animation | Khan Academy
Math meets artistry | Animation | Computer animation | Khan Academy
Midpoint formula | Analytic geometry | Geometry | Khan Academy
4. Commutativity | Sets & Staging | Computer animation | Khan Academy
4. How can we prove this? | Environment modeling | Computer animation | Khan Academy
Bonus: Completing the proof | Environment modeling | Computer animation | Khan Academy
4. Subdivision in 3D | Character modeling | Computer animation | Khan Academy
2. Geometry of rotation | Sets & Staging | Computer animation | Khan Academy
1. Weighted average of three points | Character modeling | Computer animation | Khan Academy
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2. Midpoint formula | Environment modeling | Computer animation | Khan Academy

2. Midpoint formula | Environment modeling | Computer animation | Khan Academy

Explore how

2. Where is the touching point? | Environment modeling | Computer animation | Khan Academy

2. Where is the touching point? | Environment modeling | Computer animation | Khan Academy

Where does the string touch the parabola? See if you can come up with your hypothesis! Watch the next lesson: ...

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1. Weighted average of two points | Environment modeling | Computer animation | Khan Academy

1. Weighted average of two points | Environment modeling | Computer animation | Khan Academy

How can we calculate a weighted average between

3. Compute the touching point | Environment modeling | Computer animation | Khan Academy

3. Compute the touching point | Environment modeling | Computer animation | Khan Academy

Let's apply what we just learned to calculate the touching point. Watch the next lesson: ...

Math meets artistry | Animation | Computer animation | Khan Academy

Math meets artistry | Animation | Computer animation | Khan Academy

Watch the next lesson: ...

Sponsored
Midpoint formula | Analytic geometry | Geometry | Khan Academy

Midpoint formula | Analytic geometry | Geometry | Khan Academy

Courses on

4. Commutativity | Sets & Staging | Computer animation | Khan Academy

4. Commutativity | Sets & Staging | Computer animation | Khan Academy

We need to be careful with the order of scaling and translation. But why? Watch the next lesson: ...

4. How can we prove this? | Environment modeling | Computer animation | Khan Academy

4. How can we prove this? | Environment modeling | Computer animation | Khan Academy

Okay we know how to calculate the touching point, great! Next let's think about how we can prove this is true. Watch the next ...

Bonus: Completing the proof | Environment modeling | Computer animation | Khan Academy

Bonus: Completing the proof | Environment modeling | Computer animation | Khan Academy

One way we can prove that we are calculating the actual touching point. Watch the next lesson: ...

4. Subdivision in 3D | Character modeling | Computer animation | Khan Academy

4. Subdivision in 3D | Character modeling | Computer animation | Khan Academy

Now let's think about how subdivision would work in 3D. Watch the next lesson: ...

2. Geometry of rotation | Sets & Staging | Computer animation | Khan Academy

2. Geometry of rotation | Sets & Staging | Computer animation | Khan Academy

Next lets build a diagram that break rotation into smaller parts. The next exercise will give us a chance to build our understanding ...

1. Weighted average of three points | Character modeling | Computer animation | Khan Academy

1. Weighted average of three points | Character modeling | Computer animation | Khan Academy

First we'll review weighted averages of

Getting to know Tony DeRose | Environment modeling | Computer animation | Khan Academy

Getting to know Tony DeRose | Environment modeling | Computer animation | Khan Academy

Watch the next lesson: ...

4. Modeling grass | Environment modeling | Computer animation | Khan Academy

4. Modeling grass | Environment modeling | Computer animation | Khan Academy

Next let's build a blade of grass using a parabolic arc as a spine. Click here to review perpendicular lines. Watch the next lesson: ...

Algebra of focus | Virtual Cameras | Computer animation | Khan Academy

Algebra of focus | Virtual Cameras | Computer animation | Khan Academy

In this video we develop a

4. Using the line equation | Rendering | Computer animation | Khan Academy

4. Using the line equation | Rendering | Computer animation | Khan Academy

Next we need to throw away the slope-intercept form and use the line

1. Straight ahead animation | Animation | Computer animation | Khan Academy

1. Straight ahead animation | Animation | Computer animation | Khan Academy

Let's start by drawing every frame, one by one... Watch the next lesson: ...

Introduction to rendering | Rendering | Computer animation | Khan Academy

Introduction to rendering | Rendering | Computer animation | Khan Academy

Overview of this topic Watch the next lesson: ...

2. Weighted subdivision | Character modeling | Computer animation | Khan Academy

2. Weighted subdivision | Character modeling | Computer animation | Khan Academy

Next let's extend the averaging step from the previous lesson to include multiple points. Now we'll need to calculate positions ...