Ground-penetrating-radars (GPRs) are used for surveying underground-buried objects. Methods for estimating buried objects can be classified into two categories. Non-parametric methods are, firstly, employed so that rough sketches of buried objects is reconstructed where no models with buried objects are used. The rough sketches inform us the buried object models. Next, based on the formulas of the model, parametric methods are employed so that parameter values of the models are estimated. In this paper, the authors proposed a method for 2-D reconstruction of upper surface contours in the vertical section of buried objects as a set of line elements. The proposed method is based on multi-bistatic B-scope images being recorded under multiple transmitter-receiver offsets. The line elements are obtained based on the condition that multiple ellipses provided by the different B-scope images touch internally: the ellipses are defined by a constraint deduced from time-of-flight information in B-scope image. Furthermore, the effectiveness of the proposed method was confirmed through a laboratory experiment: using a non-linear least-squares method, position and radius of a buried object were estimated from the contour line elements reconstructed by the proposed method.