diff --git a/src/gl/renderer/gl_postprocess.cpp b/src/gl/renderer/gl_postprocess.cpp
index b84c2e7d4..fa6004c53 100644
--- a/src/gl/renderer/gl_postprocess.cpp
+++ b/src/gl/renderer/gl_postprocess.cpp
@@ -828,6 +828,7 @@ void FGLRenderer::CopyToBackbuffer(const GL_IRECT *bounds, bool applyGamma)
 	if (FGLRenderBuffers::IsEnabled())
 	{
 		FGLPostProcessState savedState;
+		savedState.SaveTextureBindings(2);
 		mBuffers->BindOutputFB();
 
 		GL_IRECT box;
@@ -856,6 +857,8 @@ void FGLRenderer::DrawPresentTexture(const GL_IRECT &box, bool applyGamma)
 {
 	glViewport(box.left, box.top, box.width, box.height);
 
+	GLRenderer->mBuffers->BindDitherTexture(1);
+
 	glActiveTexture(GL_TEXTURE0);
 	if (ViewportLinearScale())
 	{
diff --git a/src/gl/renderer/gl_renderbuffers.cpp b/src/gl/renderer/gl_renderbuffers.cpp
index d60045f3e..b715aff9a 100644
--- a/src/gl/renderer/gl_renderbuffers.cpp
+++ b/src/gl/renderer/gl_renderbuffers.cpp
@@ -82,6 +82,7 @@ FGLRenderBuffers::~FGLRenderBuffers()
 	ClearExposureLevels();
 	ClearAmbientOcclusion();
 	ClearShadowMap();
+	DeleteTexture(mDitherTexture);
 }
 
 void FGLRenderBuffers::ClearScene()
@@ -741,6 +742,36 @@ void FGLRenderBuffers::BindEyeFB(int eye, bool readBuffer)
 	glBindFramebuffer(readBuffer ? GL_READ_FRAMEBUFFER : GL_FRAMEBUFFER, mEyeFBs[eye]);
 }
 
+void FGLRenderBuffers::BindDitherTexture(int texunit)
+{
+	if (!mDitherTexture)
+	{
+		float halfstep = 1.0f / 65.0f;
+		float data[64] =
+		{
+			0.0f / 16.0f + halfstep * 1, 8.0f / 16.0f + halfstep * 1, 2.0f / 16.0f + halfstep * 1, 10.0f / 16.0f + halfstep * 1,
+			0.0f / 16.0f + halfstep * 3, 8.0f / 16.0f + halfstep * 3, 2.0f / 16.0f + halfstep * 3, 10.0f / 16.0f + halfstep * 3,
+			12.0f / 16.0f + halfstep * 1, 4.0f / 16.0f + halfstep * 1, 14.0f / 16.0f + halfstep * 1, 6.0f / 16.0f + halfstep * 1,
+			12.0f / 16.0f + halfstep * 3, 4.0f / 16.0f + halfstep * 3, 14.0f / 16.0f + halfstep * 3, 6.0f / 16.0f + halfstep * 3,
+			3.0f / 16.0f + halfstep * 1, 11.0f / 16.0f + halfstep * 1, 1.0f / 16.0f + halfstep * 1, 9.0f / 16.0f + halfstep * 1,
+			3.0f / 16.0f + halfstep * 3, 11.0f / 16.0f + halfstep * 3, 1.0f / 16.0f + halfstep * 3, 9.0f / 16.0f + halfstep * 3,
+			15.0f / 16.0f + halfstep * 1, 7.0f / 16.0f + halfstep * 1, 13.0f / 16.0f + halfstep * 1, 5.0f / 16.0f + halfstep * 1,
+			15.0f / 16.0f + halfstep * 3, 7.0f / 16.0f + halfstep * 3, 13.0f / 16.0f + halfstep * 3, 5.0f / 16.0f + halfstep * 3,
+			0.0f / 16.0f + halfstep * 4, 8.0f / 16.0f + halfstep * 4, 2.0f / 16.0f + halfstep * 4, 10.0f / 16.0f + halfstep * 4,
+			0.0f / 16.0f + halfstep * 2, 8.0f / 16.0f + halfstep * 2, 2.0f / 16.0f + halfstep * 2, 10.0f / 16.0f + halfstep * 2,
+			12.0f / 16.0f + halfstep * 4, 4.0f / 16.0f + halfstep * 4, 14.0f / 16.0f + halfstep * 4, 6.0f / 16.0f + halfstep * 4,
+			12.0f / 16.0f + halfstep * 2, 4.0f / 16.0f + halfstep * 2, 14.0f / 16.0f + halfstep * 2, 6.0f / 16.0f + halfstep * 2,
+			3.0f / 16.0f + halfstep * 4, 11.0f / 16.0f + halfstep * 4, 1.0f / 16.0f + halfstep * 4, 9.0f / 16.0f + halfstep * 4,
+			3.0f / 16.0f + halfstep * 2, 11.0f / 16.0f + halfstep * 2, 1.0f / 16.0f + halfstep * 2, 9.0f / 16.0f + halfstep * 2,
+			15.0f / 16.0f + halfstep * 4, 7.0f / 16.0f + halfstep * 4, 13.0f / 16.0f + halfstep * 4, 5.0f / 16.0f + halfstep * 4,
+			15.0f / 16.0f + halfstep * 2, 7.0f / 16.0f + halfstep * 2, 13.0f / 16.0f + halfstep * 2, 5.0f / 16.0f + halfstep * 2
+		};
+
+		mDitherTexture = Create2DTexture("DitherTexture", GL_R32F, 8, 8, data);
+	}
+	mDitherTexture.Bind(1, GL_NEAREST, GL_REPEAT);
+}
+
 //==========================================================================
 //
 // Shadow map texture and frame buffers
diff --git a/src/gl/renderer/gl_renderbuffers.h b/src/gl/renderer/gl_renderbuffers.h
index 1c8ea1690..5e54cfacf 100644
--- a/src/gl/renderer/gl_renderbuffers.h
+++ b/src/gl/renderer/gl_renderbuffers.h
@@ -51,6 +51,8 @@ public:
 	void BindEyeTexture(int eye, int texunit);
 	void BindEyeFB(int eye, bool readBuffer = false);
 
+	void BindDitherTexture(int texunit);
+
 	void BindShadowMapFB();
 	void BindShadowMapTexture(int index);
 
@@ -145,6 +147,8 @@ private:
 	GLuint mShadowMapFB = 0;
 	int mCurrentShadowMapSize = 0;
 
+	PPGLTexture mDitherTexture;
+
 	static bool FailedCreate;
 	static bool BuffersActive;
 };
diff --git a/wadsrc/static/shaders/glsl/present.fp b/wadsrc/static/shaders/glsl/present.fp
index fd4c28329..79c33072d 100644
--- a/wadsrc/static/shaders/glsl/present.fp
+++ b/wadsrc/static/shaders/glsl/present.fp
@@ -8,6 +8,7 @@ uniform float Contrast;
 uniform float Brightness;
 uniform float Saturation;
 uniform int GrayFormula;
+uniform sampler2D DitherTexture;
 
 vec4 ApplyGamma(vec4 c)
 {
@@ -22,30 +23,10 @@ vec4 ApplyGamma(vec4 c)
 	return vec4(val, c.a);
 }
 
-#define HALFSTEP 1./65.
-float DitherMatrix[64] = float[](
-	 0.0 / 16.0 + HALFSTEP * 1,  8.0 / 16.0 + HALFSTEP * 1,  2.0 / 16.0 + HALFSTEP * 1, 10.0 / 16.0 + HALFSTEP * 1,
-	 0.0 / 16.0 + HALFSTEP * 3,  8.0 / 16.0 + HALFSTEP * 3,  2.0 / 16.0 + HALFSTEP * 3, 10.0 / 16.0 + HALFSTEP * 3,
-	12.0 / 16.0 + HALFSTEP * 1,  4.0 / 16.0 + HALFSTEP * 1, 14.0 / 16.0 + HALFSTEP * 1,  6.0 / 16.0 + HALFSTEP * 1,
-	12.0 / 16.0 + HALFSTEP * 3,  4.0 / 16.0 + HALFSTEP * 3, 14.0 / 16.0 + HALFSTEP * 3,  6.0 / 16.0 + HALFSTEP * 3,
-	 3.0 / 16.0 + HALFSTEP * 1, 11.0 / 16.0 + HALFSTEP * 1,  1.0 / 16.0 + HALFSTEP * 1,  9.0 / 16.0 + HALFSTEP * 1,
-	 3.0 / 16.0 + HALFSTEP * 3, 11.0 / 16.0 + HALFSTEP * 3,  1.0 / 16.0 + HALFSTEP * 3,  9.0 / 16.0 + HALFSTEP * 3,
-	15.0 / 16.0 + HALFSTEP * 1,  7.0 / 16.0 + HALFSTEP * 1, 13.0 / 16.0 + HALFSTEP * 1,  5.0 / 16.0 + HALFSTEP * 1,
-	15.0 / 16.0 + HALFSTEP * 3,  7.0 / 16.0 + HALFSTEP * 3, 13.0 / 16.0 + HALFSTEP * 3,  5.0 / 16.0 + HALFSTEP * 3,
-	 0.0 / 16.0 + HALFSTEP * 4,  8.0 / 16.0 + HALFSTEP * 4,  2.0 / 16.0 + HALFSTEP * 4, 10.0 / 16.0 + HALFSTEP * 4,
-	 0.0 / 16.0 + HALFSTEP * 2,  8.0 / 16.0 + HALFSTEP * 2,  2.0 / 16.0 + HALFSTEP * 2, 10.0 / 16.0 + HALFSTEP * 2,
-	12.0 / 16.0 + HALFSTEP * 4,  4.0 / 16.0 + HALFSTEP * 4, 14.0 / 16.0 + HALFSTEP * 4,  6.0 / 16.0 + HALFSTEP * 4,
-	12.0 / 16.0 + HALFSTEP * 2,  4.0 / 16.0 + HALFSTEP * 2, 14.0 / 16.0 + HALFSTEP * 2,  6.0 / 16.0 + HALFSTEP * 2,
-	 3.0 / 16.0 + HALFSTEP * 4, 11.0 / 16.0 + HALFSTEP * 4,  1.0 / 16.0 + HALFSTEP * 4,  9.0 / 16.0 + HALFSTEP * 4,
-	 3.0 / 16.0 + HALFSTEP * 2, 11.0 / 16.0 + HALFSTEP * 2,  1.0 / 16.0 + HALFSTEP * 2,  9.0 / 16.0 + HALFSTEP * 2,
-	15.0 / 16.0 + HALFSTEP * 4,  7.0 / 16.0 + HALFSTEP * 4, 13.0 / 16.0 + HALFSTEP * 4,  5.0 / 16.0 + HALFSTEP * 4,
-	15.0 / 16.0 + HALFSTEP * 2,  7.0 / 16.0 + HALFSTEP * 2, 13.0 / 16.0 + HALFSTEP * 2,  5.0 / 16.0 + HALFSTEP * 2
-);
-
 vec4 Dither(vec4 c, float colorscale)
 {
-	ivec2 pos = ivec2(gl_FragCoord.xy) & 7;
-	float threshold = DitherMatrix[pos.x + (pos.y << 3)];
+	vec2 texSize = vec2(textureSize(DitherTexture, 0));
+	float threshold = texture(DitherTexture, gl_FragCoord.xy / texSize).r;
 	return vec4(floor(c.rgb * colorscale + threshold) / colorscale, c.a);
 }