In a typical processing chain of image enhancement, an exposure fusion scheme can be used to synthesize a more detailed low dynamic range (LDR) image directly from a set of differently exposed LDR images, without generation of an intermediate high dynamic range image. In this brief, we introduce a new quadratic optimization-based method to extract fine details from a vector field. The new method extracts fine details from a set of differently exposed LDR images simultaneously. The extracted fine details are then added to an intermediate LDR image which is fused by simply using an existing exposure fusion scheme. With this, the proposed scheme can enhance fine details to produce sharper images.