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Geometry |
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Authors: Florian Gashi
In this work, a precise characterization is given of those perspective affine reflections that preserve both the arc length and the magnitude of curvature for any smooth planar curve. The result shows that the only non-trivial transformation with this property is the orthogonal reflectionwith respect to the given axis, i.e., the perpendicular affine symmetry with characteristic constant k=-1.
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[v1] 2025-09-20 19:47:56
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