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math.MG2020★ 2 cited
Linear Symmetries of the Unsquared Measurement Variety
Ioannis Gkioulekas, Steven J. Gortler, Louis Theran +1
We introduce a new family of algebraic varieties, , which we call the unsquared measurement varieties. This family is parameterized by a number of points and a dimensi…
math.MG2017★ 3 cited
Determining Generic Point Configurations From Unlabeled Path or Loop Lengths
Ioannis Gkioulekas, Steven J. Gortler, Louis Theran +1
Let be a configuration of points in for some and some . Each pair of points defines an edge, which has a Euclidean length in the config…