The present invention provides an aortic embolic filter mounted on a catheter. A pair of spaced apart hubs are provided, one hub being a catheter hub mounted on the catheter, the other hub being a tip hub spaced distally of the catheter hub. A filter basket is attached to the hubs and positioned distally of the catheter hub. The basket includes multiple supports that each span the two hubs. A filter material/sheet is supported by the supports, the filter material having concave and convex surfaces, first and second edge portions, and an opening that spans most of the distance between the hubs and in between the filter material edge portions. One of the supports is movable relative to the catheter hub. An operator, controller or handle enables the movable support to change length between the hubs to put more or less of a curvature of the filter basket.