1. An image processing apparatus comprising circuitry configured to: receive image data acquired by an image sensor in an RGBW arrangement that has each color pixel of R, G, and B and a white (W) pixel that passes through almost all wavelength light of each wavelength of the R, G, and B, interpolate W pixels at a position of an attention pixel that is a compensation target, and at a position of a reference pixel which has the same color as the attention pixel within a reference area, in a pixel value compensation processing of a color pixel, calculate smoothing weight based on pixel values of the interpolation W pixels, and thus calculate a compensation pixel value of the attention pixel by executing smoothing processing to which the calculated smoothing weight is applied, wherein the smoothing processing comprises computing a product of (a) a pixel value of the reference pixel which has the same color as the attention pixel and (b) a difference between the pixel value of the interpolation W pixel at the position of the attention pixel and the pixel value of the interpolation W pixel at the position of the reference pixel, and provide the compensation value of the attention pixel to further circuitry for use in generating a display image that corresponds to a sensed image that was sensed by the image sensor.