diff --git a/state/sessions/draw-session.ts b/state/sessions/draw-session.ts
index 9cf3bb34f..9994ce08d 100644
--- a/state/sessions/draw-session.ts
+++ b/state/sessions/draw-session.ts
@@ -80,17 +80,25 @@ export default class BrushSession extends BaseSession {
       }
     }
 
-    // Round the new point (helps keep our data tidy)
+    // Low pass the current input point against the previous one
+    const nextPrev = vec.med(this.previous, point)
+
+    // A delta to project the projected point
+    const offset = vec.mul(vec.sub(nextPrev, this.previous), 2)
+
+    this.previous = nextPrev
+
+    // Generate some temporary points towards a projected point
     const temporaryPoints = [0.7, 0.9, 0.95, 1].map((v) =>
       vec.round([
-        ...vec.sub(vec.lrp(this.previous, point, v), this.origin),
+        ...vec.sub(
+          vec.lrp(this.previous, vec.add(point, offset), v),
+          this.origin
+        ),
         pressure,
       ])
     )
 
-    // Low pass the current input point against the previous one
-    this.previous = vec.med(this.previous, point)
-
     // Don't add duplicate points. It's important to test against the
     // adjusted (low-passed) point rather than the input point.
 
diff --git a/state/state.ts b/state/state.ts
index 0813fe9fe..da2310ae6 100644
--- a/state/state.ts
+++ b/state/state.ts
@@ -19,9 +19,6 @@ import {
   getShape,
   screenToWorld,
   setZoomCSS,
-  translateBounds,
-  getParentOffset,
-  getParentRotation,
   rotateBounds,
   getBoundsCenter,
   getDocumentBranch,
@@ -45,7 +42,6 @@ import {
   DashStyle,
   SizeStyle,
   ColorStyle,
-  Bounds,
 } from 'types'
 import session from './session'
 import { pointInBounds } from 'utils/bounds'