This paper presents a new quantization algorithm that combines the quantization strategies of two existing methods. For uniformly smooth or detailed images, the new method improves upon both of the indiviual quantization strategies that make it up over 85% of the time, while a certain class of images mixing smoothness and detail are improved upon over 77% of the time. Even more important than the results, however, is the algorithm for combining the quantization strategies while can be applied to other, more recent strategies to achieve even better results.