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With the rapid development of multimedia technology and computer network technology, and the popularization of the Internet, digital media has gradually become the primary means of information exchange, such as images, audio, video. People can easily get a variety of digital information from the Internet. Because digital information can easily be illegally copied and manipulated, the current infringement of multimedia information has become easier, and greatly damaged the interests of the authors and copyright owners, making the information security of the digital works and protection for copyright to be an urgent issue. Therefore, a digital watermarking technology was proposed in the international community, what can effectively protect the security of digital products and copyright. In recent years, digital watermarking technology, especially digital watermarking of color images, has aroused great international interest and attention. This paper introduces the mathematical concept, different computing definitions, Fourier Transform of hyper-complex, and the use of hyper-complex space for Adaptive Color Image Watermarking Algorithm.