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XNA 3D Primer. Michael C. Neel ViNull.com [email protected] Wrox.com. create.msdn.com. v inull.com. 3D Overview. 3D Math. Decimals, Doubles, and Floats, Oh My!. 3D Math. Right Hand Rule. 3D Math. Matrix.CreateScale Matrix.CreateRotationX Matrix.CreateRotationY

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xna 3d primer

XNA 3D Primer

Michael C. Neel

ViNull.com

[email protected]

slide3

create.msdn.com

vinull.com

slide5

3D Math

Decimals, Doubles, and Floats, Oh My!

slide6

3D Math

Right Hand Rule

slide7

3D Math

Matrix.CreateScale

Matrix.CreateRotationX

Matrix.CreateRotationY

Matrix.CreateRotationZ

Matrix.CreateFromAxisAngle

Matrix.CreateFromQuaternion

Matrix.CreateTranslation

Matrix.CreateLookAt

Matrix.CreatePerspective

Matrix.CreatePerspectiveFieldOfView

Matrix.CreatePerspectiveOffCenter

Matrix.CreateOrthographic

Matrix.CreateOrthographicOffCenter

Matrix.CreateWorld

slide8

3D Math

Identity

Scale

Rotate

Orbit

Translate

ISROT

slide10

3D Math – Build a better Arc

Arctangent2 – Math.Atan2

Math.Atan2( 2.0, 4.0)

0.46364760900080609

Math.Atan2( -2.0, -4.0)

-2.677945044588987

slide11

3D Math

Vector3.Dot(Vector3.Normalize(a),

Vector3.Normalize(b))

1.0

Vector3.Dot(Vector3.Normalize(d),

Vector3.Normalize(e))

-1.0

Vector3.Dot(Vector3.Normalize(c),

Vector3.Normalize(d))

0.0

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(c))

0.707106769

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(e))

-0.707106769

slide12

3D Math

Math.Acos(

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(c)))

0.78539818051171917

Math.Acos(

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(e)))

2.3561944730780739

Math.Acos(

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(d)))

0.78539818051171917

Math.Acos(

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(c)))

0.78539818051171917

slide13

3D Math

Vector3.Cross(b, d)

{X:0 Y:0 Z:4}

Vector3.Cross(b, c)

{X:0 Y:0 Z:-4}

Math.Acos(

Vector3.Dot(Vector3.Normalize(b),

Vector3.Normalize(c)))

* Math.Sign(Vector3.Cross(b, c).Z)

-0.78539818051171917

slide14

3D Math

Quaternions

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