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Dual Quaternions for Rigid Transformation Blending Ladislav Kavan∗ Trinity College Dublin / CTU in Prague 84.9 FPS (a) Log-matrix Blending
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Document Date: 2012-05-09 05:15:14


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File Size: 1,19 MB

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MIT Press / North-Holland Publishing Company / GPU / Ge / ACM Press / Morgan Kaufmann Publishers Inc. / SIAM Journal / ASME Design Manufacturing / CRC Press Inc. / Macmillan / /

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University of Otago / Dam et al. / University of Copenhagen / Blending Steven Collins Trinity College / Dual Quaternions Carol O’Sullivan Trinity College / Rigid Transformation Blending Ladislav Kavan∗ Trinity College / /

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geometric skinning algorithm / coordinate-invariant algorithm / few applications / cross product / dual quaternion algorithms / on-line critique / real-time animation / coordinate invariant algorithm / coordinate systems / dual quaternion blending algorithms / real-time applications / iterative numerical solution / dot product / arbitrary-precision solution / On-line locomotion generation / realtime applications / precise solution / rigid transformation blending algorithms / real-time graphics / similar algorithm / constrained robotic systems / energy / above algorithms / transformation blending algorithm / matrix products / graphical applications / transformation blending algorithms / elegant solution / graphics hardware / obvious solution / ad-hoc algorithms / straightforward solution / iterative solution / shortest path solution / well-established rotation blending algorithms / simpler algorithm / software displays coordinate axes / /

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exp(T MT / log(T MT / /

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Lee / Marc Alexa / G OVINDU / V / Shin / Ladislav Kavan / /

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New York / /

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transformation blending algorithms / above algorithms / dual quaternion blending algorithms / three algorithms / Work Rigid transformation blending algorithms / dual quaternion algorithms / modified DIB algorithm / ad-hoc algorithms / proposed algorithms / skinning algorithm / coordinate invariant algorithm / blending algorithms / rigid transformation blending algorithms / previous rigid transformation blending algorithms / pdf / coordinate-invariant algorithm / rotation blending algorithms / DIB algorithm / similar algorithm / Appendix B. The DIB algorithm / transformation blending algorithm / 3D graphics / simpler algorithm / simulation / Animation / geometric skinning algorithm / following algorithms / DIB algorithms / DLB algorithm / /

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