Geodesic
Minkowski symmetry sets for 1-parameter families of plane curves
Journal of Singularities, Tome 25 (2022), pp. 361-376

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In this paper the generic bifurcations of the Minkowski symmetry set for 1-parameter families of plane curves are classified and the necessary and sufficient geometric criteria for each type are given. The Minkowski symmetry set is an analogue of the standard Euclidean symmetry set, and is defined to be the locus of centres of all of its bitangent pseudo-circles. It is shown that the list of possible bifurcation types is different to that of the list of possible types for the Euclidean symmetry set. 
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     author = {Graham Reeve},
     title = {Minkowski symmetry sets for 1-parameter families of plane curves},
     journal = {Journal of Singularities},
     pages = {361--376},
     publisher = {mathdoc},
     volume = {25},
     year = {2022},
     doi = {10.5427/jsing.2022.25q},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25q/}
}
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Graham Reeve. Minkowski symmetry sets for 1-parameter families of plane curves. Journal of Singularities, Tome 25 (2022), pp. 361-376. doi: 10.5427/jsing.2022.25q

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