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# Computer Game Design and Development PowerPoint PPT Presentation

Computer Game Design and Development. Mathematics, Collision, and Physics. Havok Destruction. Overlap Bisection. Limitations of Overlap Testing. Intersection Testing. Collision Approximations Minkowski Sum – sweep origin of X across Y. Bounding Volumes. AABB. OBB. Performance.

Computer Game Design and Development

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## Computer Game Design and Development

Mathematics, Collision, and Physics

Havok Destruction

AABB

OBB

### Performance

Possible collisionbetween R and B

since overlap in

all axis (2 in this case)

Subdivide such that on averageone object in each cell.

### Terrain Collision

• Heightmap information

• Look up terrain height

• 3 LERPs – Linear Interpretation between points

• X

• Z

• Between x and z

http://creators.xna.com/en-US/sample/collision3dheightmap

### Resolving Collision

• Gross collision & subdivide if needed

• Three phases

• Prologue – ignore or trigger other events

• Collision – point of impact, new velocities

• Epilogue – destroy object, effects, damage

### Particle Physics Basics

• Use consistent units (SI)

• Particles

• Position (p) in 3-space, vector3 (x,y,z) = p(t)

• Velocity (v) = change in position over time, V(t)

• Acceleration (a) = change in velocity over time, a(t)

• Force (f) = results in change in acceleration over time, F(t) = ma(t)

• Calculus

• Derivatives and integrals go from one to another

### Physics Engines

• Commercial

• Game Dynamics SDK (Havok)

• Renderware Physcis

• NovodeX SDK

• Free/Shareware

• Open Dynamics Engine (ODE)

• Tokamak Game Physics SDK

• Newton Game Dynamics SDK

### Demo

http://www.havok.com/content/view/584/96/

http://www.tokamakphysics.com/index.htm