这句话后面的based可以看做垂悬分词作状语 ,其逻辑主语是前面整个句子,相当于一个非限制性定语从句=which is based on these.
垂悬分词作状语的其他例子
Admired by everybody, dozens of letters reached the veteran soldier.(老战士收到了很多信,他被所有人赞扬。) (“赞扬”的逻辑主语是老战士,而主句主语是letters)
Taken as a whole, there is nothing with the book.总的来说,这本书没有问题。