The　Risley-prism　imaging　system　(RPIS)　is　a　powerful　way　to　achieve　bionic　human　eye　imaging　with　great　advantages　on　large　field　of　view　(FOV)　and　variable　resolution　imaging　owing　to　the　autonomous　controlled　deflection　of　light.　But　the　imaging　dispersion　originating　from　nonlinear　and　uneven　light　deflection　results　in　limited　imaging　wavelength　that　seriously　hinders　its　application.　The　existing　solutions　for　imaging　dispersion　mainly　rely　on　the　hardware,　which　generally　has　bulky　structure　and　limited　improvement　on　image.　Besides,　the　existing　image　evaluation　methods　for　dispersion　are　not　suitable　for　RPIS　due　to　inhomogeneous　dispersion.　Herein,　this　paper　systematically　analyzes　the　mechanism　and　characteristics　of　dispersion　in　the　RPIS,　and　proposes　a　cooperative　correction　method　for　image　distortion　and　dispersion　of　multiple-color　imaging,　achieving　the　elimination　of　distortion　and　dispersion　simultaneously　without　changing　the　optical　structure.　A　dispersion　evaluation　index　based　on　Pearson’s　correlation　coefficient　(PCC)　is　also　established,　and　the　objectivity　and　validity　of　the　index　are　proved　by　experiments.　Furthermore,　a　kind　of　compact　RPIS　based　on　an　RGB　camera　is　built,　and　both　indoor　and　outdoor　experiments　are　conducted.　The　experimental　results　demonstrate　that　proposed　algorithm　has　strong　universality　and　robustness　for　various　scenes　and　targets.　©　2024　Optica　Publishing　Group.