The recovery of an intact volume of tissue proceeds with a delivery cannula distal end positioned in confronting adjacency with the volume of tissue to be recovered. A tissue cutting and capture assembly formed of a plurality of metal leafs is deployed from the distal end of the delivery cannula. The tips of these leafs carry a pursing cable assembly, which is resistively heated by the passage of electrical current through the cable, attaining temperature level sufficient to thermally cut around and circumscribe the tissue volume. These pursing cables are tensioned to complete the envelopment of the tissue volumes by drawing the leaf tips together. An essential attribute of the disclosed apparatus is the confinement of the path of electrical conduction of constant current required to achieve tissue cutting to only those portions of the deploying and retracting resistively heated portion of the electrically conductive cutting and pursing cable that are in direct contact with tissue.