We address here the problem of color constancy and propose two new methods for achieving color constancythe first method uses denoising techniques such as a Gaussian filter, Median filter, Bilateral filter and Non-local means filter to smooth the image for illuminant estimation, while the second method acts in the frequency domain by doing a cepstral analysis of the image. We provide extensive validation tests for our illuminant estimation on commonly used datasets having images under different illumination conditions, and the results show that both new methods outperform current state-of-the-art color constancy approaches, at a very low computational cost.