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- W1984084920 abstract "We prove theorems showing a duality between the surface curvatures of three-dimensional objects and the existence of symmetry axes. More precisely, we prove that, given a surface, for each maximum or minimum of the principle curvature along a line of curvature, there is a symmetry axis terminating at this point. Moreover, such points are generically the only points at which these axes can terminate. These theorems generalize results obtained by Leyton for two-dimensional objects." @default.
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- W1984084920 date "1990-10-01" @default.
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- W1984084920 title "3D symmetry-curvature duality theorems" @default.
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- W1984084920 doi "https://doi.org/10.1016/0734-189x(90)90126-g" @default.
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