We determine the easy points of the 3-variable Tutte polynomial of a matroid perspective. It turns out that all but one of the sporadic easy points of the 3-variable Tutte polynomial proceed from the 8 sporadic easy points determined in the seminal paper of Jaeger--Vertigan--Welsh on the computational complexity of the Tutte polynomial of a matroid. The exceptional easy point, namely , can be evaluated with polynomial complexity for binary matroid perspectives by a previous result of the author.
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Michel Las Vergnas, The Tutte polynomial of a morphism of matroids 4. Computational complexity. Port. Math. 64 (2007), no. 3, pp. 303–309DOI 10.4171/PM/1788