Exporting very dense DensityPlot or Plot3D figures as vectors (pdf, eps) become very huge in size. for example, exporting this fig as pdf gives 85MB in size
plot2d = DensityPlot[Sin[x] Sin[y], {x, -4, 4}, {y, -3, 3}, PlotPoints -> 200, LabelStyle -> {FontFamily -> "LM Roman 12", Black, FontSize -> 16}, FrameLabel -> (MaTeX[#, FontSize -> 17] &) /@ {"X", "Y"}, ImageSize -> 200, ColorFunction -> Hue] 
Is it possible to Rasterize only the plot profile without frames or labels such that when exporting as pdf they are still in vector form (frame and labels)?
and can it be done also for Plot3D (As I know labels can not be in vector style in Plot3D but at least can we Rasterize plot profile and Axes with labels independently? so we can assign high RasterSizeRasterize on labels and low for plot profile )
Plot3D[Sin[x] Sin[y], {x, -4, 4}, {y, -3, 3}, PlotPoints -> 200, LabelStyle -> {FontFamily -> "LM Roman 12", Black, FontSize -> 16}, AxesLabel -> (MaTeX[#, FontSize -> 17] &) /@ {"X", "Y"}, ImageSize -> 200, ColorFunction -> Hue, BoxRatios -> {1, 1, 2}, ViewPoint -> {1, -1.3, 0.5}, PlotTheme -> "Detailed"] 
update
For DensityPlot the problem was solved in this answer. Now, we are left with the case of Plot3D, is it possible to do a similar thing as in DensityPlot?
i.e. I want to export the output of Plot3D as a vector style (pdf/eps) where only axes are in vector style and plot profile is arbitrary RasterSize in the background.