In ground-penetrating radar (GPR) applications, a salient map is useful for data analysis and building a consensus for data interpretation. In this paper, we present a novel method to map the salient region of a hyperbola using an asymmetry measurement and seam carving. First, on the basis of the magnitude and phase information of the Zernike moment and pixel asymmetry, we construct a new hyperbola descriptor to represent the region feature. Second, in order to make the hyperbolic region stand out, we improve the calculation of seam carving to extract the saliency map with the hyperbolic region. Compared with typical methods, our method provides significant and meaningful hyperbolic information, balancing the low-and high-level contrast of the branch of a hyperbola.