Digital Watermark Embedding Technology Based on Fourier Transform

Fourier Transform-based digital watermark embedding technology is a method for embedding invisible information into digital images or videos. This technique serves to protect intellectual property rights, prevent piracy, and verify data integrity. The process involves embedding watermark information into the original image or video content and utilizing Fourier transform to conceal the watermark, making it imperceptible to the human eye. When authentication of image or video authenticity is required, the same Fourier transform methodology can be employed to extract the hidden watermark information. In graduation projects, this digital watermark embedding technology plays a significant role, providing students with valuable opportunities for in-depth research and practical implementation.

The implementation typically involves applying Fast Fourier Transform (FFT) to convert the image from spatial domain to frequency domain, where watermark data is embedded in specific frequency coefficients. Key algorithmic steps include: 1) Preprocessing the watermark image (often using binary pattern conversion), 2) Applying 2D-FFT to the host image, 3) Modifying mid-frequency coefficients using additive or multiplicative embedding algorithms, 4) Applying inverse FFT to reconstruct the watermarked image. The extraction process reverses these steps using the same frequency domain coefficients and embedding parameters.

(Graduation Project with English Translation and Code Implementation Framework)