Rotation-minamizing frames on space curves: Theory, algorithms, and aplications

Kdy? 29.10.2009 14:00 - 15:30
Kde? ZČU / FAV / UP115(posluchárna)
Kategorie

Rida T. Farouki: Rotation-minamizing frames on space curves: Theory, algorithms, and aplications

 

 

Abstrakt:

An orthonormal frame defined along a space curve is called an adapted frame if it incorporates the curve tangent at each point as one basis vector. Such a frame is rotation-minimizing if its angular velocity maintains a zero component in the direction of the curve tangent, i.e., the normal-plane vectors exhibit no instantaneous rotation about the tangent. Such frames have important applications in computer animation, swept surface constructions, path planning for robotics, etc.
Recently, the possibility of constructing space curves with
exact rational rotation-minimizing frames, as a proper subset of the spatial PH curves, has been recognized. The underlying theory and construction of such RRMF curves is presented. A theory of rotation-minimizing directed (rather than adapted) frames is also introduced, motivated by a problem of camera orientation control.

 

Evropská unie, ESF, MŠMT, OP Vzdělávání pro konkurenceschopnost, ZČU

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