The aim of this research was to study effects of spatial frequency of an image on levels of chromatic induction of color background on which the image is presented. In the experiment, observers were asked to adjust the color of a sole test patch (without cheqeur board surrounding) to match in color with a reference patch surrounded by chequer board, where both patches were presented on the same background. The same procedures were repeated for 9 different spatial frequencies of chequer board (0, 1, 2, 3, 4, 6, 8, 12 and 24 CPD) and 4 different colors of background (red, green, yellow and blue). The result was used to modify CIECAM02+Induction model and CAM02-m1 to include the effect of changing of chromatic induction of background color due to spatial frequency of image. The new models were named CIECAM02TTF and CIECAM02M1F, respectively. The performance of the new models were tested by asking observers to rate them and another models such as CIECAM02, CIECAM02+Induction model, CAM02-m1 and non processed images in similarity of their reproduction images on a gray background comparing to the original images on the color background. The 4 images which were different in their structure were selected and 3 selected color background were blue, magenta and cyan. The result of the first experiment showed that the levels of chromatic induction of color background decreased when spatial frequency increased from 0–8 CPD, and then increased from the lowest point (8 CPD) when spatial frequencies were 12 and 24 CPD. The performance of one of new models, CIECAM02TTF was good. Its performance was better than CIECAM02. It took the second place in overall performance and worked well in magenta background and high spatial frequency image.
