Compared　to　traditional　vat　photopolymerization　3D　printing　methods,　pixel　blending　technique　provides　greater　freedom　in　terms　of　user-defined　lighting　sources.　Based　on　this　technology,　scientists　have　conducted　research　on　3D　printing　manufacturing　for　elastic　materials,　biologically　inert　materials,　and　materials　with　high　transparency,　making　significant　contributions　to　the　fields　of　portable　healthcare　and　specialty　material　processing.　However,　there　has　been　a　lack　of　a　universal　and　simple　algorithm　to　facilitate　low-cost　printing　experiments　for　researchers　not　in　the　3D　printing　industry.　Here,　we　propose　a　mathematical　approach　based　on　morphology　to　simulate　the　light　dose　distribution　and　virtual　visualization　of　parts　produced　using　grayscale　mask　vat　photopolymerization　3D　printing　technology.　Based　on　this　simulation,　we　develop　an　auto-correction　method　inspired　by　circle　packing　to　modify　the　grayscale　values　of　projection　images,　thereby　improving　the　dimensional　accuracy　of　printed　devices.　This　method　can　significantly　improve　printing　accuracy　with　just　a　single　parameter　adjustment.　We　conducted　experimental　validation　of　this　method　on　a　vat　photopolymerization　printer　using　common　commercial　resins,　demonstrating　its　feasibility　for　printing　high　precision　structures.　The　parameters　utilized　in　this　method　are　comparatively　simpler　to　acquire　compared　to　conventional　techniques　for　obtaining　optical　parameters.　For　researchers　in　non-vat　photopolymerization　3D　printing　industry,　it　is　relatively　user-friendly.