The anti-orthotomic of a frontal is constructed explicitly and shown to be unique with a related Gauss map and equal distances to the reference point and original frontal.
Ishikawa, Opening of differentiable map-germs and unfoldings , Topics on real and complex singu- larities, 87–113, World Sci
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Anti-orthotomics of frontals and their applications
The anti-orthotomic of a frontal is constructed explicitly and shown to be unique with a related Gauss map and equal distances to the reference point and original frontal.