Systems, devices and methods related to various heart valve implants and for delivery of those implants are described. The implants may be used to re-size a native valve annulus or to replace a native heart valve. The implants include a re-sizable frame having angled struts. The implant is secured to tissue with anchors that can rotate without axial advancement to engage tissue while drawing the implant closer to the tissue. Collars are used to decrease the angle between struts of a frame to contract the implant. The implants can include a rotatable shaft, such as a threaded shaft, located internally to an axially translatable collar. Rotation of the shaft transmits force to the collar to cause the collar to translate axially, closing the angle of adjacent struts and decreasing the width of the implant and thus of the annulus. The implants can be delivered, secured and contracted via a catheter. The implants are repositionable and retrievable via catheter.