Abstract: Gram matrix,a method to get the inner product in simple terms,was commonly used for image style extraction in the style-transfer techniques.The Gram matrix can only extract the static features,but it is completely unconstrained to the spatial sequence of objects in the picture.This paper proposed a fast neural style transfer method with space constraints.First,the residuals are used to redesign the transform network of fast neural style transfer.Then,the method of spatial offset is used to transform the Feature map.Feature map T(a^l) are used for Gram matrix computation to get the cross-correlation,which contains the spatial information.That is to say,it can constrain the object’s spatial sequence in the picture.Finally,experiments show that the method’s ability of space constraint is better than traditional method,and the stylized image with better effect can be quickly obtained.

Key words: Cross-correlation, Fast neural style transfer, Gram matrix, Residual, Spatial offset