Images　captured　in　dense　fog　are　always　severely　degraded.　For　luminous　objects,　the　luminance　and　contrast　of　the　image　are　severely　reduced　due　to　the　strong　absorption　of　suspended　particles.　In　this　case,　owing　to　the　influence　of　forward　scattered　light　and　detector　noise,　the　signal-to-noise　ratio　of　the　image　is　greatly　reduced.　Traditional　image　dehazing　algorithms　will　enhance　the　noise　while　improving　the　image　contrast.　Here　a　dynamic　equation-based　filter　is　proposed,　which　can　strongly　suppress　speckle　and　noise　while　improving　target　contrast.　Based　on　this　filter,　we　design　an　image　restoration　method　for　luminous　targets　in　dense　fog.　The　effectiveness　of　the　proposed　method　is　verified　by　experiments.　The　experimental　results　show　that　the　proposed　method　has　a　good　recovery　effect　on　the　luminous　targets　in　dense　fog　with　an　optical　thickness　of　4.51.　The　proposed　method　has　better　performance　than　the　traditional　dehazing　algorithms　and　conventional　filtering　method.　©　2022　Elsevier　GmbH