The papers which develop SMC (eg. [1]) often begin by describing SIS. The two terms, SMC and SIS, don't seem to be synonyms. But neither does SIS seem to be just one "type" of SMC method. So how exactly do SIS and SMC fit together? Is SIS the basis or foundation for SMC?
[1] Del Moral, Pierre, Arnaud Doucet, and Ajay Jasra. "Sequential Monte Carlo samplers." Journal of the Royal Statistical Society: Series B (Statistical Methodology) 68.3 (2006): 411-436.