Interpolation Summary

1
Interpolation Summary
2
Preprocessing

• Define track points
• Catmull-Rom curve interpolate over the track
  points
• Extract Hermite pieces out of the Catmull-Rom
  curve

• Compute the frames at the track points
• Determine the first frame using Frenet frame
• Rotation-minimizing frames at all other track
  points.
• Assign key (time stamp when the object passes
  through the point) to each track point

Note unnatural behavior might occur due to
excessive speed difference between segments
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Interpolation

• Use t to determine which Hermite piece it is on
• Evaluate the position and tangent at t
• Compute rotation-minimizing frame from start of
  this Hermite piece

• Display objects (model, frame) with the
  corresponding frame

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Example
Time stamp
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Implementation
6
Camera (suggestion)

• Trailing the plane via a damped spring
• determine the position
• Camera orientation determined by a torsional
  spring, based on the rotation of b(inormal)

7
Particle System
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What you need to do

• Thoroughly understand explosion.c
• Goals
• Alpha-tested, Textured, colored (modulation)
• Aging concept
• ?tree (each particle as billboard might be an
  overkill)
• Or screen-aligned billboard
• Consider momentum conservation
• Provide a layer of abstraction (age, center pos,
  display mode (line, point, textured), )

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Half-baked PBM Prototype
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Screen-aligned Billboard
v 0,0,1 in eye coord. Transform into world
coord.
n
v
During each frame Rotate every n into v
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Shooting

• Aiming interface (iron sight)
• Impact detection