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Quaternion Catmull-Rom Spline

Quaternion(사원수) Operations

Unit Quaternion Algebra

 

  • Unit Quaternion space is
    • closed under multiplication and inverse,
    • but not closed under addition and subtraction

 

Rotation Quaternion

 

Exp and Log

 

Scale

 

 

Quaternion Catmull-Rom Spline

Quaternion Bezier

Quaternion Bezier Curve

  • Linear Combination of quaternion?

 

  • De Casteljau by Slerp

 

by De Casteljau Algorithm

  • Multi-linear Construction
    • De Casteljau Algorithm
    • Replace Linear Interpolation by Slerp

 

Point Bezier vs. Quaternion Bezier

 

Quaternion Bezier Spline

Bezier Spline Review

 

 

Quaternion Bezier Spline

 

Quaternion Catmull-Rom Spline

Derivatives?

 

Quaternion Catmull-Rom Spline







 
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