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🖌️2D Animation Unit 20 Review

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20.4 Easing and custom interpolation

20.4 Easing and custom interpolation

Written by the Fiveable Content Team • Last updated August 2025
Written by the Fiveable Content Team • Last updated August 2025
🖌️2D Animation
Unit & Topic Study Guides

Easing and interpolation are key to creating natural, fluid animations. These techniques mimic real-world physics, adding realism and visual appeal to your work. From built-in functions to custom curves, mastering these tools elevates your animations.

Understanding different easing types and interpolation methods opens up a world of creative possibilities. Whether you're animating a bouncing ball or a complex character walk cycle, these concepts help you craft smooth, engaging animations that captivate viewers.

Understanding Easing and Interpolation in Animation

Concept of easing

  • Gradual acceleration or deceleration of animation mimics natural movement and physics (bouncing ball, swinging pendulum)
  • Adds realism to animations improves visual appeal and smoothness
  • Ease-in starts slow accelerates towards end, ease-out begins fast decelerates at finish, ease-in-out combines both
  • Easing curves visually represent animation progress over time X-axis shows time Y-axis displays progress
Concept of easing, كيف تعمل Easing Curves

Built-in easing functions

  • Linear maintains constant speed throughout animation
  • Quadratic based on square function creates gentle acceleration or deceleration
  • Cubic uses cube function for more pronounced easing effect
  • Quartic employs fourth power function for even stronger easing
  • Quintic utilizes fifth power function for most dramatic acceleration or deceleration
  • Implement by selecting appropriate function adjusting duration and intensity
  • Combine multiple functions create complex animations with varied pacing (character walk cycle)
Concept of easing, كيف تعمل Easing Curves

Custom easing curves

  • Bezier curves use control points define curve shape adjust handle positions for desired effect
  • Mathematical functions create formulas for unique motion patterns utilize trigonometric functions for oscillating effects (sine wave)
  • Keyframe interpolation manually adjust positions fine-tune acceleration and deceleration points
  • Experiment with different curve shapes achieve specific animation styles (bouncy, elastic, overshoot)

Interpolation for non-linear animations

  • Linear interpolation (LERP) calculates intermediate values between two points $LERP(a, b, t) = a + t(b - a)$ used for straight-line motion
  • Spherical Linear Interpolation (SLERP) ensures constant angular velocity useful for smooth rotations and quaternions
  • Catmull-Rom spline creates smooth curve through series of points ideal for camera paths and complex trajectories
  • Hermite curve defines curve using start and end points with tangents allows precise control over curve shape
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