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Mesh Vertex Pose and Position Interpolation Using Geometric Algebra

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Articulated Motion and Deformable Objects (AMDO 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5098))

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Abstract

This paper presents a method of interpolating between two or more general displacements (rotation and translation). The resulting interpolated path is smooth and possesses a number of desirable properties. It differs from existing algorithms which require factorising the pose into separate rotation and translation components and is derived from an intuitively appealing framework–i.e. a natural extension of the standard interpolation scheme for pure rotations. While this paper presents the theory behind the interpolation and its description as a tool, we also outline the possible advantages of using this technique for vision and graphics applications.

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References

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Francisco J. Perales Robert B. Fisher

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Âİ 2008 Springer-Verlag Berlin Heidelberg

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Wareham, R., Lasenby, J. (2008). Mesh Vertex Pose and Position Interpolation Using Geometric Algebra. In: Perales, F.J., Fisher, R.B. (eds) Articulated Motion and Deformable Objects. AMDO 2008. Lecture Notes in Computer Science, vol 5098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70517-8_13

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  • DOI: https://doi.org/10.1007/978-3-540-70517-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70516-1

  • Online ISBN: 978-3-540-70517-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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