Picture Perception for Humans

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Week 7 Basic Ideas for Physical Simulationsin
Computer Graphics
Jack Tumblin CS 395 Advanced Computer
Graphics Winter 2003
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Recall Newton New Notation

• Newtonian Physics
• F M a
• Notation time derivative as a dot
• y
• How does a spring work?
• F -K(x-x0)

.
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1-D Spring-Mass Example

• Given initial position y0 at time t0,What is y
  for time tgt0?
• Position y
• Velocity y v
• Accel v a
• Newton says F Ma
• Spring Force F GM -K(y - y0) solve....

y
y0
.
K
.
M
G
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'State Variable' Form

• 'State' A vector that holds everything
  you know about a particle
• or spring, or rigid object, or car, or body
  segment, or missile, or basketball or...

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How Do We Solve it?

• Explicit Integration
• Implicit Integration

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Conclusion

• Physically accurate (geometric optics only)
  simulation of light transport.
• Ultimate Realism? perceptual, not physical
• Languished as tweak-hungry lab curiosity
• Gradual adoption for multitexturing source, for
  mixing real/synthetic images, Ph.Ds,
  theatre/architectural lighting, archaeology,
• Growing interest for use in inverse rendering
  tasks image-based rendering modeling