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Animation

Table of Contents

Animation

The Illusion of Motion

Animation Types

Conventional Animation Techniques

Conventional Animation Process

Conventional and Computer Animation

Key Frame Animation

Geometric Transformation and Animation

Parametric Equation for a Line

Advantage of Parametric vs. Explicit Line Definition

Linear Interpolation

Example: Linear Interpolation--Translation and Size

Other Parameters to Linearly Interpolate

Example: Interpolated Shapes

Key Frame Interpolation vs. Explicit Transformations

Interpolation Along Polylines

Problems with Linear Interpolation

Some Possible Solutions

Parametric Curves

Plotting Parameterized Curves

Tangents to a Parametric Cubic

Splines

Bezier Curves

Initial Condition Points

Computing Polynomial Coefficients from Control Points

Splines and Patches

Morphing (Image Metamorphosis)

Fading with Linear Interpolation

The Problem: Differences

Warping: Bringing us together

Warping, a Physical Analogy

Doing the Morph

Animation - 10 MAY 95

sl@cs.brown.edu