Objective To further improve the quality of gamut mapped image, in-depth research was performed under the frame of spatial gamut mapping algorithms in this paper. Methods Laplace of Gaussian function was used to obtain the details of original image to be added in the first mapped image. Then the image was mapped for the second time to make sure the color value was within the target gamut. The data was compared with the minimum color difference method, CUSP and the algorithm proposed by Bala et al. Results Gamut mapping algorithm based on laplace of gaussian function was better than the algorithm proposed by Bala et al in the data of structure similarity and image difference. However, the situation was opposite for images with vivid color and rich details. Conclusion Gamut mapping algorithm based on laplace of gaussian function could improve the quality of gamut mapped image, but the spatial gamut mapping algorithms were not always better than the common algorithms.