Endoluminal filters are disclose with a first support member having a first end and a second end and a second support member attached to the first end of the first support member or the second end of the first support member. The filters also include a material capture structure extending between the first and second support members, a crossover between the first and second support members, and the first end or the second end of the first support member. The filters also include at least one tissue anchor with an elongate portion and a curved portion configured to engage with a lumen wall. The elongate portion has a length greater than a length of the curved portion. Methods for deploying and retrieving endoluminal filters are also disclosed.