Computer instructions for determining coordinates for nodes on a wire secured to tow lines of a floating vessel for analyzing geological formations is provided. The computer instructions can use sensors in communication with a processor to determine the coordinates of nodes and provide azimuths tangential to the wire. A library of nominal values for polynomial coefficients, a library of known distances along the wire, and a library of preset limits can be stored in a data storage. The computer instructions can: receive sensor information, compute bearing, reorient the coordinates, rotate the azimuth, construct a polynomial algorithm, compute the azimuth, form a residual, compute updated differences until the residual is within preset limits, calculate local coordinates for nodes, and rotate the local coordinates from the local coordinate system to the projected coordinate system.