The　method　of　Minimal　Surfaces　can　remove　the　noise　of　certain　image　effectively　and　preserve　its　edges.　However　such　methods,　which　are　based　on　second-order　nonlinear　partial　differential　equations　(PDEs),　tend　to　cause　the　processed　images　to　look　blocky.　Fourth-order　PDEs,　which　replace　the　gradient　operator　with　the　Laplacian　operator,　are　able　to　avoid　blocky　effects.　However,　the　equation　brought　forward　by　You　and　Kaveh　does　not　possess　the　capability　of　removing　isolated　black　speckled　noise.　In　this　paper,　a　new　fourth-order　PDE,　based　on　the　combination　of　the　method　of　Minimal　Surfaces　and　the　fourth-order　PDE　of　You　and　Kaveh,　is　proposed　and　tested.　The　new　method　is　capable　of　removing　isolated　black　speckled　noise　as　well　as　avoiding　blocky　effects.