The Laser Running shoes were manufactured in Auckland, New Zealand in the 1980's. A unique feature of the shoes was a patented open toe design. The were designed and developed by the brother of the running coach Arthur Lydiard, Graeme.
From the patent application:
An athletic shoe is provided with an open-toe to facilitate cooling of the wearers' foot during running. The tongue of the shoe is attached to one side edge of the shoe.
Also, according to an article in the New York Times, the shoe range included:
The Lydico line of shoes, which has three models for men and one for women, is produced by the Lydiard Shoe Company of Auckland. The shoes come with two or three plugs, depending on the model, which will change the midsole of the shoe from soft to firm. Lydiard refers to its cushioning technology as I.C.E., for impact cushion exchange.
The brand is no longer available and does not show up like some other discontinued brands in the search engine popularity of running shoes.
Graeme Lydiard at LinkedIn