--- a/src/bridge_map.cpp
+++ b/src/bridge_map.cpp
@@ -63,16 +63,16 @@
 }
 
 /**
- * Get the height ('z') of a bridge in pixels.
+ * Get the height ('z') of a bridge.
  * @param tile the bridge ramp tile to get the bridge height from
- * @return the height of the bridge in pixels
+ * @return the height of the bridge.
  */
-uint GetBridgePixelHeight(TileIndex t)
+uint GetBridgeHeight(TileIndex t)
 {
 	uint h;
-	Slope tileh = GetTilePixelSlope(t, &h);
+	Slope tileh = GetTileSlope(t, &h);
 	Foundation f = GetBridgeFoundation(tileh, DiagDirToAxis(GetTunnelBridgeDirection(t)));
 
 	/* one height level extra for the ramp */
-	return h + TILE_HEIGHT + ApplyPixelFoundationToSlope(f, &tileh);
+	return h + 1 + ApplyFoundationToSlope(f, &tileh);
 }

--- a/src/bridge_map.h
+++ b/src/bridge_map.h
@@ -89,7 +89,16 @@
 TileIndex GetSouthernBridgeEnd(TileIndex t);
 TileIndex GetOtherBridgeEnd(TileIndex t);
 
-uint GetBridgePixelHeight(TileIndex tile);
+uint GetBridgeHeight(TileIndex tile);
+/**
+ * Get the height ('z') of a bridge in pixels.
+ * @param tile the bridge ramp tile to get the bridge height from
+ * @return the height of the bridge in pixels
+ */
+static inline uint GetBridgePixelHeight(TileIndex tile)
+{
+	return GetBridgeHeight(tile) * TILE_HEIGHT;
+}
 
 /**
  * Remove the bridge over the given axis.

--- a/src/landscape.cpp
+++ b/src/landscape.cpp
@@ -94,12 +94,12 @@
  * @param s  The #Slope to modify.
  * @return   Increment to the tile Z coordinate.
  */
-uint ApplyPixelFoundationToSlope(Foundation f, Slope *s)
+uint ApplyFoundationToSlope(Foundation f, Slope *s)
 {
 	if (!IsFoundation(f)) return 0;
 
 	if (IsLeveledFoundation(f)) {
-		uint dz = TILE_HEIGHT + (IsSteepSlope(*s) ? TILE_HEIGHT : 0);
+		uint dz = 1 + (IsSteepSlope(*s) ? 1 : 0);
 		*s = SLOPE_FLAT;
 		return dz;
 	}
@@ -114,7 +114,7 @@
 		return 0;
 	}
 
-	uint dz = IsSteepSlope(*s) ? TILE_HEIGHT : 0;
+	uint dz = IsSteepSlope(*s) ? 1 : 0;
 	Corner highest_corner = GetHighestSlopeCorner(*s);
 
 	switch (f) {
@@ -290,10 +290,10 @@
  * @param corner The corner.
  * @return Z position of corner relative to TileZ.
  */
-int GetSlopePixelZInCorner(Slope tileh, Corner corner)
+int GetSlopeZInCorner(Slope tileh, Corner corner)
 {
 	assert(!IsHalftileSlope(tileh));
-	return ((tileh & SlopeWithOneCornerRaised(corner)) != 0 ? TILE_HEIGHT : 0) + (tileh == SteepSlope(corner) ? TILE_HEIGHT : 0);
+	return ((tileh & SlopeWithOneCornerRaised(corner)) != 0 ? 1 : 0) + (tileh == SteepSlope(corner) ? 1 : 0);
 }
 
 /**
@@ -337,11 +337,11 @@
  * @param z returns the z of the foundation slope. (Can be NULL, if not needed)
  * @return The slope on top of the foundation.
  */
-Slope GetFoundationPixelSlope(TileIndex tile, uint *z)
+Slope GetFoundationSlope(TileIndex tile, uint *z)
 {
-	Slope tileh = GetTilePixelSlope(tile, z);
+	Slope tileh = GetTileSlope(tile, z);
 	Foundation f = _tile_type_procs[GetTileType(tile)]->get_foundation_proc(tile, tileh);
-	uint z_inc = ApplyPixelFoundationToSlope(f, &tileh);
+	uint z_inc = ApplyFoundationToSlope(f, &tileh);
 	if (z != NULL) *z += z_inc;
 	return tileh;
 }

--- a/src/landscape.h
+++ b/src/landscape.h
@@ -35,11 +35,41 @@
 byte LowestSnowLine();
 void ClearSnowLine();
 
+int GetSlopeZInCorner(Slope tileh, Corner corner);
+Slope GetFoundationSlope(TileIndex tile, uint *z);
+
 uint GetPartialPixelZ(int x, int y, Slope corners);
 uint GetSlopePixelZ(int x, int y);
 void GetSlopePixelZOnEdge(Slope tileh, DiagDirection edge, int *z1, int *z2);
-int GetSlopePixelZInCorner(Slope tileh, Corner corner);
-Slope GetFoundationPixelSlope(TileIndex tile, uint *z);
+
+/**
+ * Determine the Z height of a corner relative to TileZ.
+ *
+ * @pre The slope must not be a halftile slope.
+ *
+ * @param tileh The slope.
+ * @param corner The corner.
+ * @return Z position of corner relative to TileZ.
+ */
+static inline int GetSlopePixelZInCorner(Slope tileh, Corner corner)
+{
+	return GetSlopeZInCorner(tileh, corner) * TILE_HEIGHT;
+}
+
+/**
+ * Get slope of a tile on top of a (possible) foundation
+ * If a tile does not have a foundation, the function returns the same as GetTilePixelSlope.
+ *
+ * @param tile The tile of interest.
+ * @param z returns the z of the foundation slope. (Can be NULL, if not needed)
+ * @return The slope on top of the foundation.
+ */
+static inline Slope GetFoundationPixelSlope(TileIndex tile, uint *z)
+{
+	Slope s = GetFoundationSlope(tile, z);
+	if (z != NULL) *z *= TILE_HEIGHT;
+	return s;
+}
 
 /**
  * Map 3D world or tile coordinate to equivalent 2D coordinate as used in the viewports and smallmap.
@@ -84,7 +114,20 @@
 	return pt;
 }
 
-uint ApplyPixelFoundationToSlope(Foundation f, Slope *s);
+uint ApplyFoundationToSlope(Foundation f, Slope *s);
+/**
+ * Applies a foundation to a slope.
+ *
+ * @pre      Foundation and slope must be valid combined.
+ * @param f  The #Foundation.
+ * @param s  The #Slope to modify.
+ * @return   Increment to the tile Z coordinate.
+ */
+static inline uint ApplyPixelFoundationToSlope(Foundation f, Slope *s)
+{
+	return ApplyFoundationToSlope(f, s) * TILE_HEIGHT;
+}
+
 void DrawFoundation(TileInfo *ti, Foundation f);
 bool HasFoundationNW(TileIndex tile, Slope slope_here, uint z_here);
 bool HasFoundationNE(TileIndex tile, Slope slope_here, uint z_here);

--- a/src/slope_func.h
+++ b/src/slope_func.h
@@ -159,11 +159,22 @@
  * @param s The #Slope.
  * @return Relative height of highest corner.
  */
-static inline uint GetSlopeMaxPixelZ(Slope s)
+static inline uint GetSlopeMaxZ(Slope s)
 {
 	if (s == SLOPE_FLAT) return 0;
-	if (IsSteepSlope(s)) return 2 * TILE_HEIGHT;
-	return TILE_HEIGHT;
+	if (IsSteepSlope(s)) return 2;
+	return 1;
+}
+
+/**
+ * Returns the height of the highest corner of a slope relative to TileZ (= minimal height)
+ *
+ * @param s The #Slope.
+ * @return Relative height of highest corner.
+ */
+static inline uint GetSlopeMaxPixelZ(Slope s)
+{
+	return GetSlopeMaxZ(s) * TILE_HEIGHT;
 }
 
 /**

--- a/src/tile_map.cpp
+++ b/src/tile_map.cpp
@@ -18,13 +18,13 @@
  * @param h    If not \c NULL, pointer to storage of z height
  * @return Slope of the tile, except for the HALFTILE part
  */
-Slope GetTilePixelSlope(TileIndex tile, uint *h)
+Slope GetTileSlope(TileIndex tile, uint *h)
 {
 	assert(tile < MapSize());
 
 	if (TileX(tile) == MapMaxX() || TileY(tile) == MapMaxY() ||
 			(_settings_game.construction.freeform_edges && (TileX(tile) == 0 || TileY(tile) == 0))) {
-		if (h != NULL) *h = TileHeight(tile) * TILE_HEIGHT;
+		if (h != NULL) *h = TileHeight(tile);
 		return SLOPE_FLAT;
 	}
 
@@ -54,7 +54,7 @@
 	if ((d -= min) != 0) r += (--d << 4) + SLOPE_S;
 	if ((b -= min) != 0) r += (--b << 4) + SLOPE_W;
 
-	if (h != NULL) *h = min * TILE_HEIGHT;
+	if (h != NULL) *h = min;
 
 	return (Slope)r;
 }
@@ -64,7 +64,7 @@
  * @param tile Tile to compute height of
  * @return Minimum height of the tile
  */
-uint GetTilePixelZ(TileIndex tile)
+uint GetTileZ(TileIndex tile)
 {
 	if (TileX(tile) == MapMaxX() || TileY(tile) == MapMaxY()) return 0;
 
@@ -73,7 +73,7 @@
 	h = min(h, TileHeight(tile + TileDiffXY(0, 1))); // E corner
 	h = min(h, TileHeight(tile + TileDiffXY(1, 1))); // S corner
 
-	return h * TILE_HEIGHT;
+	return h;
 }
 
 /**
@@ -81,7 +81,7 @@
  * @param t Tile to compute height of
  * @return Maximum height of the tile
  */
-uint GetTileMaxPixelZ(TileIndex t)
+uint GetTileMaxZ(TileIndex t)
 {
 	if (TileX(t) == MapMaxX() || TileY(t) == MapMaxY()) return 0;
 
@@ -90,5 +90,5 @@
 	h = max(h, TileHeight(t + TileDiffXY(0, 1))); // E corner
 	h = max(h, TileHeight(t + TileDiffXY(1, 1))); // S corner
 
-	return h * TILE_HEIGHT;
+	return h;
 }

--- a/src/tile_map.h
+++ b/src/tile_map.h
@@ -226,9 +226,42 @@
 	_me[t].m7 = frame;
 }
 
-Slope GetTilePixelSlope(TileIndex tile, uint *h);
-uint GetTilePixelZ(TileIndex tile);
-uint GetTileMaxPixelZ(TileIndex tile);
+Slope GetTileSlope(TileIndex tile, uint *h = NULL);
+uint GetTileZ(TileIndex tile);
+uint GetTileMaxZ(TileIndex tile);
+
+/**
+ * Return the slope of a given tile
+ * @param tile Tile to compute slope of
+ * @param h    If not \c NULL, pointer to storage of z height
+ * @return Slope of the tile, except for the HALFTILE part
+ */
+static inline Slope GetTilePixelSlope(TileIndex tile, uint *h)
+{
+	Slope s = GetTileSlope(tile, h);
+	if (h != NULL) *h *= TILE_HEIGHT;
+	return s;
+}
+
+/**
+ * Get bottom height of the tile
+ * @param tile Tile to compute height of
+ * @return Minimum height of the tile
+ */
+static inline uint GetTilePixelZ(TileIndex tile)
+{
+	return GetTileZ(tile) * TILE_HEIGHT;
+}
+
+/**
+ * Get top height of the tile
+ * @param t Tile to compute height of
+ * @return Maximum height of the tile
+ */
+static inline uint GetTileMaxPixelZ(TileIndex tile)
+{
+	return GetTileMaxZ(tile) * TILE_HEIGHT;
+}
 
 
 /**