An image processing device includes: a frequency divider for performing a frequency division processing of dividing an input image into a plurality of frequency components each having a frequency band; a noise remover for performing a noise component removal processing of removing a noise component from a high frequency component in the frequency components each having the frequency band obtained by the frequency division processing by the frequency divider; an edge preservation information calculator for detecting an edge intensity based on a low frequency component in the frequency components each having the frequency band obtained by the frequency division processing by the frequency divider, and calculating edge preservation information relating to a degree of preserving an edge component based on the detected edge intensity; an edge preserving section for preserving the edge component in the high frequency component, based on the edge preservation information calculated by the edge preservation information calculator; and a frequency synthesizer for synthesizing the high frequency component whose noise component is removed by the noise remover and whose edge component is preserved by the edge preserving section, and the low frequency component, in each of the frequency bands.