A basket apparatus is described that assists in removing objects from within a patient. The apparatus includes a number of pull wires, each pull wire physically coupled to a different capstan that individually actuates one of the pull wires. The apparatus also includes an outer support shaft itself including a number of channels through which the pull wires traverse. The portions of the pull wires extending out of the outer support shaft form a basket of adjustable size, shape, and position. The pull wires are attached together at a tip located at a distal end of the basket apparatus. By controlling the actuation of the various pull wires, the basket's shape, position size can be manipulated to reposition the basket around an object located within a patient, independent of or in conjunction with motion of the remainder of the apparatus or an associated endoscope.