diff --git a/engine/camera.go b/engine/camera.go
index e16fa2e..0f7f430 100644
--- a/engine/camera.go
+++ b/engine/camera.go
@@ -6,8 +6,9 @@ import (
 	"github.com/hajimehoshi/ebiten/v2"
 )
 
-// Camera models a camera that is viewing a scene. Changes to the
-// configuration take effect immediately.
+// Camera models a camera that is viewing a scene.
+// Changes to the configuration take effect immediately.
+// Camera ignores Scene.Draw and calls Scene's children's Draw.
 type Camera struct {
 	ID
 	Scene *Scene
@@ -15,16 +16,20 @@ type Camera struct {
 	// Camera controls
 	Bounds image.Rectangle // world coordinates
 	Centre image.Point     // world coordinates
-	//Rotation float64       // radians
-	Zoom float64 // unitless
-
 	Filter ebiten.Filter
+	Zoom   float64 // unitless
 
 	game *Game
 }
 
 // Draw applies transformations to opts, then calls c.Scene.Draw with it.
 func (c *Camera) Draw(screen *ebiten.Image, opts ebiten.DrawImageOptions) {
+	if c.Scene.Hidden {
+		return
+	}
+
+	// Compute the geometry matrix for the camera controls.
+
 	// The lower bound on zoom is the larger of
 	// { (ScreenWidth / BoundsWidth), (ScreenHeight / BoundsHeight) }
 	zoom := c.Zoom
@@ -54,19 +59,30 @@ func (c *Camera) Draw(screen *ebiten.Image, opts ebiten.DrawImageOptions) {
 		centre.Y = c.Bounds.Max.Y - shz
 	}
 
-	// Apply camera controls to geom.
-	// 1. Move centre to the origin
-	opts.GeoM.Translate(-float64(centre.X), -float64(centre.Y))
-	// 2. Zoom and rotate
-	opts.GeoM.Scale(zoom, zoom)
-	//geom.Rotate(c.Rotation)
-	// 3. Move the origin to the centre of screen space.
-	opts.GeoM.Translate(sw2, sh2)
-
 	// Apply other options
 	opts.Filter = c.Filter
 
-	c.Scene.Draw(screen, opts)
+	// Draw everything.
+	og := opts.GeoM
+	for _, i := range c.Scene.Components {
+		if d, ok := i.(Drawer); ok {
+			cs := 1.0
+			if s, ok := i.(CoordScaler); ok {
+				cs = s.CoordScale()
+			}
+			var geom ebiten.GeoM
+			// 1. Move centre to the origin, subject to CoordScale
+			geom.Translate(-float64(centre.X)*cs, -float64(centre.Y)*cs)
+			// 2. Zoom (this is also where rotation would be)
+			geom.Scale(zoom, zoom)
+			// 3. Move the origin to the centre of screen space.
+			geom.Translate(sw2, sh2)
+			// 4. Apply transforms from the caller.
+			geom.Concat(og)
+			opts.GeoM = geom
+			d.Draw(screen, opts)
+		}
+	}
 }
 
 // Update passes the call to c.Scene.
diff --git a/engine/interface.go b/engine/interface.go
index e389cb6..3b42a23 100644
--- a/engine/interface.go
+++ b/engine/interface.go
@@ -11,6 +11,12 @@ type Collider interface {
 	CollidesWith(image.Rectangle) bool
 }
 
+// CoordScaler components have a scaling factor. This is used for
+// e.g. parallax layers in a scene, and can be thought of as 1/distance.
+type CoordScaler interface {
+	CoordScale() float64
+}
+
 // Drawer components can draw themselves. Draw is called often.
 // Each component is responsible for calling Draw on its child components
 // (so that hiding the parent can hide the children, etc).