diff --git a/src/playsim/p_pspr.cpp b/src/playsim/p_pspr.cpp
index 591364b3c..79077c4ea 100644
--- a/src/playsim/p_pspr.cpp
+++ b/src/playsim/p_pspr.cpp
@@ -134,17 +134,21 @@ DEFINE_FIELD(DPSprite, oldx)
 DEFINE_FIELD(DPSprite, oldy)
 DEFINE_FIELD(DPSprite, px)
 DEFINE_FIELD(DPSprite, py)
-DEFINE_FIELD(DPSprite, oldpx)
-DEFINE_FIELD(DPSprite, oldpy)
 DEFINE_FIELD(DPSprite, scalex)
 DEFINE_FIELD(DPSprite, scaley)
 DEFINE_FIELD(DPSprite, oldscalex)
 DEFINE_FIELD(DPSprite, oldscaley)
 DEFINE_FIELD(DPSprite, rotation)
 DEFINE_FIELD(DPSprite, oldrotation)
+DEFINE_FIELD_NAMED(DPSprite, Coord[0], Coord0)
+DEFINE_FIELD_NAMED(DPSprite, Coord[1], Coord1)
+DEFINE_FIELD_NAMED(DPSprite, Coord[2], Coord2)
+DEFINE_FIELD_NAMED(DPSprite, Coord[3], Coord3)
 DEFINE_FIELD(DPSprite, firstTic)
 DEFINE_FIELD(DPSprite, Tics)
 DEFINE_FIELD(DPSprite, Translation)
+DEFINE_FIELD(DPSprite, HAlign)
+DEFINE_FIELD(DPSprite, VAlign)
 DEFINE_FIELD(DPSprite, alpha)
 DEFINE_FIELD_BIT(DPSprite, Flags, bAddWeapon, PSPF_ADDWEAPON)
 DEFINE_FIELD_BIT(DPSprite, Flags, bAddBob, PSPF_ADDBOB)
@@ -154,7 +158,6 @@ DEFINE_FIELD_BIT(DPSprite, Flags, bFlip, PSPF_FLIP)
 DEFINE_FIELD_BIT(DPSprite, Flags, bMirror, PSPF_MIRROR)
 DEFINE_FIELD_BIT(DPSprite, Flags, bPlayerTranslated, PSPF_PLAYERTRANSLATED)
 DEFINE_FIELD_BIT(DPSprite, Flags, bPivotPercent, PSPF_PIVOTPERCENT)
-DEFINE_FIELD_BIT(DPSprite, Flags, bPivotScreen, PSPF_PIVOTSCREEN)
 
 //------------------------------------------------------------------------
 //
@@ -180,11 +183,14 @@ DPSprite::DPSprite(player_t *owner, AActor *caller, int id)
   px(.0), py(.0),
   rotation(.0),
   oldscalex(.0), oldscaley(.0),
-  oldpx(.0), oldpy(.0),
   oldrotation(.0),
   PivotPercent(true),
-  PivotScreen(false)
+  HAlign(0),
+  VAlign(0)
 {
+	for (int i = 0; i < 4; i++)
+		Coord[i] = DVector2(0,0);
+
 	alpha = 1;
 	Renderstyle = STYLE_Normal;
 
@@ -657,11 +663,7 @@ DEFINE_ACTION_FUNCTION(APlayerPawn, CheckWeaponButtons)
 	return 0;
 }
 
-//---------------------------------------------------------------------------
-//
-// PROC A_OverlayScale
-//
-//---------------------------------------------------------------------------
+
 
 enum WOFFlags
 {
@@ -673,6 +675,41 @@ enum WOFFlags
 	WOF_ZEROY = 1 << 5,
 };
 
+//---------------------------------------------------------------------------
+//
+// PROC A_OverlayVertexOffset
+//
+//---------------------------------------------------------------------------
+
+DEFINE_ACTION_FUNCTION(AActor, A_OverlayVertexOffset)
+{
+	PARAM_ACTION_PROLOGUE(AActor);
+	PARAM_INT(layer)
+	PARAM_INT(index)
+	PARAM_FLOAT(x)
+	PARAM_FLOAT(y)
+	PARAM_INT(flags)
+
+	if (index < 0 || index > 3 || ((flags & WOF_KEEPX) && (flags & WOF_KEEPY)) || !ACTION_CALL_FROM_PSPRITE())
+		return 0;
+
+	DPSprite *pspr = self->player->FindPSprite(((layer != 0) ? layer : stateinfo->mPSPIndex));
+
+	if (pspr == nullptr)
+		return 0;
+
+	if (!(flags & WOF_KEEPX))	pspr->Coord[index].X = x;
+	if (!(flags & WOF_KEEPY))	pspr->Coord[index].Y = y;
+
+	return 0;
+}
+
+//---------------------------------------------------------------------------
+//
+// PROC A_OverlayScale
+//
+//---------------------------------------------------------------------------
+
 DEFINE_ACTION_FUNCTION(AActor, A_OverlayScale)
 {
 	PARAM_ACTION_PROLOGUE(AActor);
@@ -771,12 +808,6 @@ DEFINE_ACTION_FUNCTION(AActor, A_OverlayPivot)
 	if (!(flags & WOF_KEEPY))
 		pspr->py = (flags & WOF_ADD) ? pspr->py + wy : wy;
 
-	if (!(flags & WOF_INTERPOLATE))
-	{
-		pspr->oldpx = pspr->px;
-		pspr->oldpy = pspr->py;
-	}
-
 	return 0;
 }
 
@@ -889,6 +920,28 @@ DEFINE_ACTION_FUNCTION(AActor, A_OverlayFlags)
 	return 0;
 }
 
+DEFINE_ACTION_FUNCTION(AActor, A_OverlayPivotAlign)
+{
+	PARAM_ACTION_PROLOGUE(AActor);
+	PARAM_INT(layer);
+	PARAM_INT(halign);
+	PARAM_INT(valign);
+
+	if (!ACTION_CALL_FROM_PSPRITE())
+		return 0;
+
+	DPSprite *pspr = self->player->FindPSprite(((layer != 0) ? layer : stateinfo->mPSPIndex));
+
+	if (pspr != nullptr)
+	{
+		if (halign >= PSPA_LEFT && halign <= PSPA_RIGHT)
+			pspr->HAlign |= halign;
+		if (valign >= PSPA_TOP && valign <= PSPA_BOTTOM)
+			pspr->VAlign |= valign;
+	}
+	return 0;
+}
+
 //---------------------------------------------------------------------------
 //
 // PROC A_OverlayTranslation
@@ -1211,6 +1264,16 @@ void DPSprite::Serialize(FSerializer &arc)
 		("oldx", oldx)
 		("oldy", oldy)
 		("alpha", alpha)
+		("px", px)
+		("py", py)
+		("scalex", scalex)
+		("scaley", scaley)
+		("oldscalex", oldscalex)
+		("oldscaley", oldscaley)
+		("rotation", rotation)
+		("oldrotation", oldrotation)
+		("halign", HAlign)
+		("valign", VAlign)
 		("renderstyle_", Renderstyle);	// The underscore is intentional to avoid problems with old savegames which had this as an ERenderStyle (which is not future proof.)
 }
 
diff --git a/src/playsim/p_pspr.h b/src/playsim/p_pspr.h
index e5d7ad10b..cb39903e8 100644
--- a/src/playsim/p_pspr.h
+++ b/src/playsim/p_pspr.h
@@ -72,7 +72,15 @@ enum PSPFlags
 	PSPF_MIRROR			= 1 << 9,
 	PSPF_PLAYERTRANSLATED = 1 << 10,
 	PSPF_PIVOTPERCENT	= 1 << 11,
-	PSPF_PIVOTSCREEN	= 1 << 12,
+};
+
+enum PSPAlign
+{
+	PSPA_TOP = 0,
+	PSPA_CENTER,
+	PSPA_BOTTOM,
+	PSPA_LEFT = PSPA_TOP,
+	PSPA_RIGHT = 2
 };
 
 class DPSprite : public DObject
@@ -99,16 +107,16 @@ public:
 	std::pair<FRenderStyle, float> GetRenderStyle(FRenderStyle ownerstyle, double owneralpha);
 	float GetYAdjust(bool fullscreen);
 
-	bool PivotScreen;		// If true, the pivot is based on the entire screen width/height instead of the image's dimensions/position.
+	int HAlign, VAlign;		// Horizontal and vertical alignment
 	bool PivotPercent;		// If true, the pivot goes between [0.0, 1.0]. Otherwise, it's a pixel position offset from the image size.
 	double px, py;			// pivot points
-	double oldpx, oldpy;	
 	double rotation;		// How much rotation to apply.
 	double oldrotation;
 	double scalex, scaley;	// Scale
 	double oldscalex, oldscaley;	
 	double x, y, alpha;
 	double oldx, oldy;
+	DVector2 Coord[4];
 	bool firstTic;
 	int Tics;
 	uint32_t Translation;
diff --git a/src/rendering/hwrenderer/scene/hw_weapon.cpp b/src/rendering/hwrenderer/scene/hw_weapon.cpp
index 4573790c4..4e0e4ad98 100644
--- a/src/rendering/hwrenderer/scene/hw_weapon.cpp
+++ b/src/rendering/hwrenderer/scene/hw_weapon.cpp
@@ -171,16 +171,12 @@ static WeaponPosition GetWeaponPosition(player_t *player, double ticFrac)
 			w.wy = (float)w.weapon->y;
 			w.sx = (float)w.weapon->scalex;
 			w.sy = (float)w.weapon->scaley;
-			w.px = (float)w.weapon->px;
-			w.py = (float)w.weapon->py;
 			w.r = (float)w.weapon->rotation;
 		}
 		else
 		{
 			w.wx = (float)(w.weapon->oldx + (w.weapon->x - w.weapon->oldx) * ticFrac);
 			w.wy = (float)(w.weapon->oldy + (w.weapon->y - w.weapon->oldy) * ticFrac);
-			w.px = (float)(w.weapon->oldpx + (w.weapon->px - w.weapon->oldpx) * ticFrac);
-			w.py = (float)(w.weapon->oldpy + (w.weapon->py - w.weapon->oldpy) * ticFrac);
 			w.sx = (float)(w.weapon->oldscalex + (w.weapon->scalex - w.weapon->oldscalex) * ticFrac);
 			w.sy = (float)(w.weapon->oldscaley + (w.weapon->scaley - w.weapon->oldscaley) * ticFrac);
 			w.r = (float)(w.weapon->oldrotation + (w.weapon->rotation - w.weapon->oldrotation) * ticFrac);
@@ -190,8 +186,6 @@ static WeaponPosition GetWeaponPosition(player_t *player, double ticFrac)
 	{
 		w.wx = 0;
 		w.wy = 0;
-		w.px = 0;
-		w.py = 0;
 		w.sx = 0;
 		w.sy = 0;
 		w.r = 0;
@@ -487,8 +481,21 @@ bool HUDSprite::GetWeaponRect(HWDrawInfo *di, DPSprite *psp, float sx, float sy,
 
 	// [MC] Code copied from DTA_Rotate
 	// Big thanks to IvanDobrovski who helped me modify this.
+
+	FVector2 c[4];
+	c[0] = FVector2(x1, y1);
+	c[1] = FVector2(x1, y2);
+	c[2] = FVector2(x2, y1);
+	c[3] = FVector2(x2, y2);
+
+	for (int i = 0; i < 4; i++)
+		c[i] += FVector2(psp->Coord[i].X * scalex, psp->Coord[i].Y * scale);
+
 	if (psp->rotation != 0.0 || psp->scalex != 1.0 || psp->scaley != 1.0)
 	{
+		if (psp->scalex == 0.0 || psp->scaley == 0.0)
+			return false;
+
 		FAngle rot = float(psp->rotation);
 		rot.Normalized360();
 		float cosang = rot.Cos();
@@ -496,68 +503,61 @@ bool HUDSprite::GetWeaponRect(HWDrawInfo *di, DPSprite *psp, float sx, float sy,
 		float px = float(psp->px);
 		float py = float(psp->py);
 		
-		float xcenter, ycenter;
-		float width = MAX(x1, x2) - MIN(x1, x2);
-		float height = MAX(y1, y2) - MIN(y1, y2);
-		if (psp->Flags & PSPF_PIVOTSCREEN)
+		float anchorx, anchory, xcenter, ycenter;
+		float minx = MIN(x1, x2);
+		float miny = MIN(y1, y2);
+		float width = MAX(x1, x2) - minx;
+		float height = MAX(y1, y2) - miny;
+
+		switch (psp->VAlign)
 		{
-			if (psp->Flags & PSPF_PIVOTPERCENT)
-			{
-				xcenter = vw * px + viewwindowx;
-				ycenter = vh * py + viewwindowy;
-			}
-			else
-			{
-				xcenter = vw * 0.5 + viewwindowx + px;
-				ycenter = vh * 0.5 + viewwindowy + py;
-			}
+			default:
+			case PSPA_TOP:		anchory = 0.0;	break;
+			case PSPA_CENTER:	anchory = 0.5;	break;
+			case PSPA_BOTTOM:	anchory = 1.0;	break;
+		}
+
+		switch (psp->HAlign)
+		{
+			default:
+			case PSPA_LEFT:		anchorx = 0.0;	break;
+			case PSPA_CENTER:	anchorx = 0.5;	break;
+			case PSPA_RIGHT:	anchorx = 1.0;	break;
+		}
+
+		if (psp->Flags & PSPF_PIVOTPERCENT)
+		{
+			xcenter = minx + (width * anchorx + width * px);
+			ycenter = miny + (height * anchory + height * py);
 		}
 		else
 		{
-			if (psp->Flags & PSPF_PIVOTPERCENT)
-			{
-				xcenter = (x1 + width * px);
-				ycenter = (y1 + height * py);
-			}
-			else
-			{
-				xcenter = (x1 + width * 0.5) + px;
-				ycenter = (y1 + height * 0.5) - py;
-			}
+			xcenter = minx + (width * anchorx + scalex * px);
+			ycenter = miny + (height * anchory + scale * py);
 		}
+
 		x1 -= xcenter;
 		y1 -= ycenter;
 
 		x2 -= xcenter;
 		y2 -= ycenter;
-		
+
 		float ssx = float(psp->scalex);
 		float ssy = float(psp->scaley);
 
-		float xx1 = xcenter + ssx * (x1 * cosang + y1 * sinang);
-		float xx2 = xcenter + ssx * (x1 * cosang + y2 * sinang);
-		float xx3 = xcenter + ssx * (x2 * cosang + y1 * sinang);
-		float xx4 = xcenter + ssx * (x2 * cosang + y2 * sinang);
-
-		float yy1 = ycenter - ssy * (x1 * sinang - y1 * cosang);
-		float yy2 = ycenter - ssy * (x1 * sinang - y2 * cosang);
-		float yy3 = ycenter - ssy * (x2 * sinang - y1 * cosang);
-		float yy4 = ycenter - ssy * (x2 * sinang - y2 * cosang);
-		
-
-		verts.first[0].Set(xx1, yy1, 0, u1, v1);
-		verts.first[1].Set(xx2, yy2, 0, u1, v2);
-		verts.first[2].Set(xx3, yy3, 0, u2, v1);
-		verts.first[3].Set(xx4, yy4, 0, u2, v2);
-		
-	}
-	else
-	{
-		verts.first[0].Set(x1, y1, 0, u1, v1);
-		verts.first[1].Set(x1, y2, 0, u1, v2);
-		verts.first[2].Set(x2, y1, 0, u2, v1);
-		verts.first[3].Set(x2, y2, 0, u2, v2);
+		for (int i = 0; i < 4; i++)
+		{
+			c[i] -= {xcenter, ycenter};
+			float xx = xcenter + ssx * (c[i].X * cosang + c[i].Y * sinang);
+			float yy = ycenter - ssy * (c[i].X * sinang - c[i].Y * cosang);
+			c[i] = {xx, yy};
+		}
 	}
+	
+	verts.first[0].Set(c[0].X, c[0].Y, 0, u1, v1);
+	verts.first[1].Set(c[1].X, c[1].Y, 0, u1, v2);
+	verts.first[2].Set(c[2].X, c[2].Y, 0, u2, v1);
+	verts.first[3].Set(c[3].X, c[3].Y, 0, u2, v2);
 
 	texture = tex;
 	return true;
diff --git a/src/rendering/hwrenderer/scene/hw_weapon.h b/src/rendering/hwrenderer/scene/hw_weapon.h
index d9817bbaa..48d930e86 100644
--- a/src/rendering/hwrenderer/scene/hw_weapon.h
+++ b/src/rendering/hwrenderer/scene/hw_weapon.h
@@ -16,7 +16,6 @@ struct WeaponPosition
 	float wx, wy;
 	float bobx, boby;
 	float sx, sy;
-	float px, py;
 	float r;
 	DPSprite *weapon;
 };
diff --git a/wadsrc/static/zscript/actors/actor.zs b/wadsrc/static/zscript/actors/actor.zs
index 2d0818b2b..2526be303 100644
--- a/wadsrc/static/zscript/actors/actor.zs
+++ b/wadsrc/static/zscript/actors/actor.zs
@@ -1186,6 +1186,8 @@ class Actor : Thinker native
 	action native void A_OverlayScale(int layer, double wx = 1, double wy = 0, int flags = 0);
 	action native void A_OverlayRotate(int layer, double degrees = 0, int flags = 0);
 	action native void A_OverlayPivot(int layer, double wx = 0.5, double wy = 0.5, int flags = 0);
+	action native void A_OverlayPivotAlign(int layer, int halign, int valign);
+	action native void A_OverlayVertexOffset(int layer, int index, double x, double y, int flags = 0);
 	action native void A_OverlayOffset(int layer = PSP_WEAPON, double wx = 0, double wy = 32, int flags = 0);
 	action native void A_OverlayFlags(int layer, int flags, bool set);
 	action native void A_OverlayAlpha(int layer, double alph);
diff --git a/wadsrc/static/zscript/actors/heretic/chicken.zs b/wadsrc/static/zscript/actors/heretic/chicken.zs
index 6e5354623..4bc2e20de 100644
--- a/wadsrc/static/zscript/actors/heretic/chicken.zs
+++ b/wadsrc/static/zscript/actors/heretic/chicken.zs
@@ -60,6 +60,7 @@ class Beak : Weapon
 		if (psp)
 		{
 			psp.y = WEAPONTOP;
+			ResetPSprite(psp);
 		}
 		player.SetPsprite(PSP_WEAPON, player.ReadyWeapon.GetReadyState());
 	}
diff --git a/wadsrc/static/zscript/actors/inventory/weapons.zs b/wadsrc/static/zscript/actors/inventory/weapons.zs
index 06854da9d..15d95d979 100644
--- a/wadsrc/static/zscript/actors/inventory/weapons.zs
+++ b/wadsrc/static/zscript/actors/inventory/weapons.zs
@@ -213,6 +213,20 @@ class Weapon : StateProvider
 	//
 	//---------------------------------------------------------------------------
 
+	action void ResetPSprite(PSprite psp)
+	{
+		if (!psp)	return;
+		psp.rotation = 0;
+		psp.scalex = 1.0;
+		psp.scaley = 1.0;
+		psp.valign = 0;
+		psp.halign = 0;
+		psp.Coord0 = (0,0);
+		psp.Coord1 = (0,0);
+		psp.Coord2 = (0,0);
+		psp.Coord3 = (0,0);
+	}
+
 	action void A_Lower(int lowerspeed = 6)
 	{
 		let player = player;
@@ -240,6 +254,8 @@ class Weapon : StateProvider
 		{ // Not lowered all the way yet
 			return;
 		}
+		ResetPSprite(psp);
+		
 		if (player.playerstate == PST_DEAD)
 		{ // Player is dead, so don't bring up a pending weapon
 			// Player is dead, so keep the weapon off screen
@@ -278,12 +294,18 @@ class Weapon : StateProvider
 		}
 		let psp = player.GetPSprite(PSP_WEAPON);
 		if (!psp) return;
+
+		if (psp.y <= WEAPONBOTTOM)
+		{
+			ResetPSprite(psp);
+		}
 		psp.y -= raisespeed;
 		if (psp.y > WEAPONTOP)
 		{ // Not raised all the way yet
 			return;
 		}
 		psp.y = WEAPONTOP;
+		
 		psp.SetState(player.ReadyWeapon.GetReadyState());
 		return;
 	}
diff --git a/wadsrc/static/zscript/actors/player/player.zs b/wadsrc/static/zscript/actors/player/player.zs
index f076e680a..4541a91bc 100644
--- a/wadsrc/static/zscript/actors/player/player.zs
+++ b/wadsrc/static/zscript/actors/player/player.zs
@@ -1664,7 +1664,11 @@ class PlayerPawn : Actor
 			if (player.ReadyWeapon != null)
 			{
 				let psp = player.GetPSprite(PSP_WEAPON);
-				if (psp) psp.y = WEAPONTOP;
+				if (psp) 
+				{
+					psp.y = WEAPONTOP;
+					player.ReadyWeapon.ResetPSprite(psp);
+				}
 				player.SetPsprite(PSP_WEAPON, player.ReadyWeapon.GetReadyState());
 			}
 			return;
@@ -2559,14 +2563,17 @@ class PSprite : Object native play
 	native double oldy;
 	native double px;
 	native double py;
-	native double oldpx;
-	native double oldpy;
 	native double scalex;
 	native double scaley;
 	native double oldscalex;
 	native double oldscaley;
 	native double rotation;
 	native double oldrotation;
+	native int HAlign, VAlign;
+	native Vector2 Coord0;
+	native Vector2 Coord1;
+	native Vector2 Coord2;
+	native Vector2 Coord3;
 	native double alpha;
 	native Bool firstTic;
 	native int Tics;
@@ -2579,7 +2586,6 @@ class PSprite : Object native play
 	native bool bMirror;
 	native bool bPlayerTranslated;
 	native bool bPivotPercent;
-	native bool bPivotScreen;
 
 	native void SetState(State newstate, bool pending = false);
 
diff --git a/wadsrc/static/zscript/actors/player/player_morph.zs b/wadsrc/static/zscript/actors/player/player_morph.zs
index 391be4a06..e6ca560a4 100644
--- a/wadsrc/static/zscript/actors/player/player_morph.zs
+++ b/wadsrc/static/zscript/actors/player/player_morph.zs
@@ -60,7 +60,11 @@ extend class PlayerPawn
 		if (player.ReadyWeapon != null)
 		{
 			let psp = player.GetPSprite(PSP_WEAPON);
-			if (psp) psp.y = WEAPONTOP;
+			if (psp) 
+			{
+				psp.y = WEAPONTOP;
+				player.ReadyWeapon.ResetPSprite(psp);
+			}
 		}
 
 		if (morphweaponcls == null || !(morphweaponcls is 'Weapon'))
diff --git a/wadsrc/static/zscript/constants.zs b/wadsrc/static/zscript/constants.zs
index c391832da..5aa8cec49 100644
--- a/wadsrc/static/zscript/constants.zs
+++ b/wadsrc/static/zscript/constants.zs
@@ -701,17 +701,28 @@ enum EWeaponOffsetFlags
 // Flags for psprite layers
 enum EPSpriteFlags
 {
-	PSPF_ADDWEAPON	= 1 << 0,
-	PSPF_ADDBOB		= 1 << 1,
-	PSPF_POWDOUBLE	= 1 << 2,
-	PSPF_CVARFAST	= 1 << 3,
-	PSPF_ALPHA		= 1 << 4,
-	PSPF_RENDERSTYLE= 1 << 5,
-	PSPF_FLIP		= 1 << 6,
-	PSPF_FORCEALPHA	= 1 << 7,
-	PSPF_FORCESTYLE	= 1 << 8,
-	PSPF_MIRROR		= 1 << 9,
-	PSPF_PLAYERTRANSLATED = 1 << 10
+	PSPF_ADDWEAPON		= 1 << 0,
+	PSPF_ADDBOB			= 1 << 1,
+	PSPF_POWDOUBLE		= 1 << 2,
+	PSPF_CVARFAST		= 1 << 3,
+	PSPF_ALPHA			= 1 << 4,
+	PSPF_RENDERSTYLE	= 1 << 5,
+	PSPF_FLIP			= 1 << 6,
+	PSPF_FORCEALPHA		= 1 << 7,
+	PSPF_FORCESTYLE		= 1 << 8,
+	PSPF_MIRROR			= 1 << 9,
+	PSPF_PLAYERTRANSLATED = 1 << 10,
+	PSPF_PIVOTPERCENT	= 1 << 11,
+};
+
+// Alignment constants for A_OverlayPivotAlign
+enum EPSpriteAlign
+{
+	PSPA_TOP = 0,
+	PSPA_CENTER,
+	PSPA_BOTTOM,
+	PSPA_LEFT = PSPA_TOP,
+	PSPA_RIGHT = 2
 };
 
 // Default psprite layers