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キーワード:
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要旨:
Since their introduction, mean value coordinates enjoy ever increasing
popularity in computer graphics and computational mathematics
because they exhibit a variety of good properties. Most importantly,
they are defined in the whole plane which allows interpolation and
extrapolation without restrictions. Recently, mean value coordinates
were generalized to spheres and to $\mathbb{R}^{3}$. We show that these
spherical and 3D mean value coordinates are well-defined on the whole
sphere and the whole space $\mathbb{R}^{3}$, respectively.
