diff --git a/src/r_draw.h b/src/r_draw.h
index b320500c6..2533ff7df 100644
--- a/src/r_draw.h
+++ b/src/r_draw.h
@@ -76,6 +76,8 @@ enum
 	COLDRAWFUNC_DROPSHADOW,
 	COLDRAWFUNC_AFFINE,
 	COLDRAWFUNC_AFFINETRANS,
+	COLDRAWFUNC_AFFINEFUZZY,
+	COLDRAWFUNC_AFFINETRANSTRANS,
 
 	COLDRAWFUNC_MAX
 };
@@ -205,6 +207,8 @@ void R_DrawFogColumn(drawcolumndata_t* dc);
 void R_DrawColumnShadowed(drawcolumndata_t* dc);
 void R_DrawAffineColumn(drawcolumndata_t* dc);
 void R_DrawTranslatedAffineColumn(drawcolumndata_t* dc);
+void R_DrawTranslucentAffineColumn(drawcolumndata_t* dc);
+void R_DrawTranslatedTranslucentAffineColumn(drawcolumndata_t* dc);
 
 void R_DrawColumn_Brightmap(drawcolumndata_t* dc);
 void R_DrawTranslucentColumn_Brightmap(drawcolumndata_t* dc);
diff --git a/src/r_draw_column.cpp b/src/r_draw_column.cpp
index d940697b3..483dce065 100644
--- a/src/r_draw_column.cpp
+++ b/src/r_draw_column.cpp
@@ -681,3 +681,5 @@ static void R_DrawAffineColumnTemplate(drawcolumndata_t *dc)
 
 DEFINE_AFFINE_COLUMN_SETUP(R_DrawAffineColumn, DC_BASIC);
 DEFINE_AFFINE_COLUMN_SETUP(R_DrawTranslatedAffineColumn, DC_COLORMAP);
+DEFINE_AFFINE_COLUMN_SETUP(R_DrawTranslucentAffineColumn, DC_TRANSMAP);
+DEFINE_AFFINE_COLUMN_SETUP(R_DrawTranslatedTranslucentAffineColumn, DC_COLORMAP|DC_TRANSMAP);
diff --git a/src/r_things.cpp b/src/r_things.cpp
index 7d8b1d4ae..eb5a9c806 100644
--- a/src/r_things.cpp
+++ b/src/r_things.cpp
@@ -1043,9 +1043,26 @@ static void R_DrawVisSprite(vissprite_t *vis)
 		// Specialized affine drawing functions, primarily for player sprites.
 
 		if (dc.translation) // translate green skin to another color
-			R_SetColumnFunc(COLDRAWFUNC_AFFINETRANS, false);
+		{
+			if (vis->transmap)
+			{
+				R_SetColumnFunc(COLDRAWFUNC_AFFINETRANSTRANS, false);
+				dc.transmap = vis->transmap;
+			}
+			else
+			{
+				R_SetColumnFunc(COLDRAWFUNC_AFFINETRANS, false);
+			}
+		}
+		else if (vis->transmap)
+		{
+			R_SetColumnFunc(COLDRAWFUNC_AFFINEFUZZY, false);
+			dc.transmap = vis->transmap;
+		}
 		else
+		{
 			R_SetColumnFunc(COLDRAWFUNC_AFFINE, false);
+		}
 	}
 	// Hack: Use a special column function for drop shadows that bypasses
 	// invalid memory access crashes caused by R_ProjectDropShadow putting wrong values
diff --git a/src/screen.c b/src/screen.c
index 73b6c4ac9..158b4313e 100644
--- a/src/screen.c
+++ b/src/screen.c
@@ -133,10 +133,13 @@ void SCR_SetDrawFuncs(enum columncontext_e _columncontext)
 	colfuncs[COLDRAWFUNC_FOG] = R_DrawFogColumn;
 	colfuncs[COLDRAWFUNC_DROPSHADOW] = R_DrawDropShadowColumn;
 
-	// Affine functions
+	// Affine functions; the ones here are only relevant for sprites.
+	// We can't rotate texture columns normally, can we?
 
 	colfuncs[COLDRAWFUNC_AFFINE] = R_DrawAffineColumn;
 	colfuncs[COLDRAWFUNC_AFFINETRANS] = R_DrawTranslatedAffineColumn;
+	colfuncs[COLDRAWFUNC_AFFINEFUZZY] = R_DrawTranslucentAffineColumn;
+	colfuncs[COLDRAWFUNC_AFFINETRANSTRANS] = R_DrawTranslatedTranslucentAffineColumn;
 
 	colfuncs_bm[BASEDRAWFUNC] = R_DrawColumn_Brightmap;
 	colfuncs_bm[COLDRAWFUNC_FUZZY] = R_DrawTranslucentColumn_Brightmap;
@@ -152,6 +155,8 @@ void SCR_SetDrawFuncs(enum columncontext_e _columncontext)
 
 	colfuncs_bm[COLDRAWFUNC_AFFINE] = NULL;
 	colfuncs_bm[COLDRAWFUNC_AFFINETRANS] = NULL;
+	colfuncs_bm[COLDRAWFUNC_AFFINEFUZZY] = NULL;
+	colfuncs_bm[COLDRAWFUNC_AFFINETRANSTRANS] = NULL;
 
 	spanfuncs[BASEDRAWFUNC] = R_DrawSpan;
 	spanfuncs[SPANDRAWFUNC_TRANS] = R_DrawTranslucentSpan;