diff --git a/gpu/compute.go b/gpu/compute.go
index 9deb3499..ba10f824 100644
--- a/gpu/compute.go
+++ b/gpu/compute.go
@@ -8,7 +8,6 @@ import (
 	"fmt"
 	"image"
 	"image/color"
-	"math"
 	"math/bits"
 	"time"
 	"unsafe"
@@ -17,9 +16,11 @@ import (
 	"gioui.org/gpu/internal/driver"
 	"gioui.org/internal/byteslice"
 	"gioui.org/internal/f32color"
+	"gioui.org/internal/ops"
 	"gioui.org/internal/scene"
 	"gioui.org/layout"
 	"gioui.org/op"
+	"gioui.org/op/clip"
 )
 
 type compute struct {
@@ -227,7 +228,7 @@ func newCompute(ctx driver.Device) (*compute, error) {
 	g.materials.layout = progLayout
 
 	g.drawOps.pathCache = newOpCache()
-	g.drawOps.retainPathData = true
+	g.drawOps.compute = true
 
 	buf, err := ctx.NewBuffer(driver.BufferBindingShaderStorage, int(unsafe.Sizeof(config{})))
 	if err != nil {
@@ -661,53 +662,59 @@ func (g *compute) encodeClipStack(clip, bounds f32.Rectangle, p *pathOp) int {
 	}
 	if p != nil && p.path {
 		pathData, _ := g.drawOps.pathCache.get(p.pathKey)
-		g.enc.transform(f32.Affine2D{}.Offset(p.off))
+		g.enc.transform(p.trans)
 		g.enc.append(pathData.computePath)
-		g.enc.transform(f32.Affine2D{}.Offset(p.off.Mul(-1)))
+		g.enc.transform(p.trans.Invert())
 	} else {
 		g.enc.rect(bounds, false)
 	}
 	return nclips
 }
 
-// encodePath takes a Path encoded with quadSplitter and encode it for elements.comp.
-// This is certainly wasteful, but minimizes implementation differences to the old
-// renderer.
-func encodePath(p []byte) encoder {
+func encodePath(pathData []byte, stroke clip.StrokeStyle, dashes dashOp) encoder {
 	var enc encoder
+	if stroke.Width > 0 {
+		quads := decodeToStrokeQuads(pathData)
+		quads = quads.stroke(stroke, dashes)
+		for _, quad := range quads {
+			q := quad.quad
+			enc.quad(q.From, q.Ctrl, q.To, false)
+		}
+		if len(quads) > 0 {
+			enc.scene[len(enc.scene)-1][0] |= (flagEndPath << 16)
+		}
+		return enc
+	}
 	var (
 		prevTo  f32.Point
 		hasPrev bool
 	)
-	for len(p) > 0 {
-		// p contains quadratic curves encoded in vertex structs.
-		vertex := p[:vertStride]
-		// We only need some of the values. This code undoes vertex.encode.
-		from := f32.Pt(
-			math.Float32frombits(bo.Uint32(vertex[8:])),
-			math.Float32frombits(bo.Uint32(vertex[12:])),
-		)
-		ctrl := f32.Pt(
-			math.Float32frombits(bo.Uint32(vertex[16:])),
-			math.Float32frombits(bo.Uint32(vertex[20:])),
-		)
-		to := f32.Pt(
-			math.Float32frombits(bo.Uint32(vertex[24:])),
-			math.Float32frombits(bo.Uint32(vertex[28:])),
-		)
-		if hasPrev && from != prevTo {
-			enc.scene[len(enc.scene)-1][0] = (flagEndPath << 16) | enc.scene[len(enc.scene)-1][0]
+	for len(pathData) >= scene.CommandSize+4 {
+		cmd := ops.DecodeCommand(pathData[4:])
+		switch cmd.Op() {
+		case scene.OpFillLine:
+			from, to := scene.DecodeLine(cmd)
+			if hasPrev && from != prevTo {
+				enc.scene[len(enc.scene)-1][0] |= (flagEndPath << 16)
+			}
+			hasPrev = true
+			prevTo = to
+		case scene.OpFillQuad:
+			from, _, to := scene.DecodeQuad(cmd)
+			if hasPrev && from != prevTo {
+				enc.scene[len(enc.scene)-1][0] |= (flagEndPath << 16)
+			}
+			hasPrev = true
+			prevTo = to
+		default:
+			panic("unsupported path scene command")
 		}
-		hasPrev = true
-		prevTo = to
-		enc.quad(from, ctrl, to, false)
-
-		// The vertex is duplicated 4 times, one for each corner of quads drawn
-		// by the old renderer.
-		p = p[vertStride*4:]
+		enc.scene = append(enc.scene, cmd)
+		enc.npathseg++
+		pathData = pathData[scene.CommandSize+4:]
 	}
 	if hasPrev {
-		enc.scene[len(enc.scene)-1][0] = (flagEndPath << 16) | enc.scene[len(enc.scene)-1][0]
+		enc.scene[len(enc.scene)-1][0] |= (flagEndPath << 16)
 	}
 	return enc
 }
diff --git a/gpu/gpu.go b/gpu/gpu.go
index 0b1d5867..4095b021 100644
--- a/gpu/gpu.go
+++ b/gpu/gpu.go
@@ -93,7 +93,7 @@ type drawOps struct {
 	pathCache   *opCache
 	// hack for the compute renderer to access
 	// converted path data.
-	retainPathData bool
+	compute bool
 }
 
 type drawState struct {
@@ -126,6 +126,11 @@ type pathOp struct {
 	pathVerts []byte
 	parent    *pathOp
 	place     placement
+
+	// For compute
+	trans  f32.Affine2D
+	stroke clip.StrokeStyle
+	dashes dashOp
 }
 
 type imageOp struct {
@@ -829,8 +834,8 @@ func (d *drawOps) collect(ctx driver.Device, cache *resourceCache, root *op.Ops,
 		if v, exists := d.pathCache.get(p.pathKey); !exists || v.data.data == nil {
 			data := buildPath(ctx, p.pathVerts)
 			var computePath encoder
-			if d.retainPathData {
-				computePath = encodePath(p.pathVerts)
+			if d.compute {
+				computePath = encodePath(p.pathVerts, p.stroke, p.dashes)
 			}
 			d.pathCache.put(p.pathKey, opCacheValue{
 				data:        data,
@@ -847,12 +852,15 @@ func (d *drawOps) newPathOp() *pathOp {
 	return &d.pathOpCache[len(d.pathOpCache)-1]
 }
 
-func (d *drawOps) addClipPath(state *drawState, aux []byte, auxKey ops.Key, bounds f32.Rectangle, off f32.Point) {
+func (d *drawOps) addClipPath(state *drawState, aux []byte, auxKey ops.Key, bounds f32.Rectangle, off f32.Point, tr f32.Affine2D, stroke clip.StrokeStyle, dashes dashOp) {
 	npath := d.newPathOp()
 	*npath = pathOp{
 		parent: state.cpath,
 		bounds: bounds,
 		off:    off,
+		trans:  tr,
+		stroke: stroke,
+		dashes: dashes,
 	}
 	state.cpath = npath
 	if len(aux) > 0 {
@@ -939,9 +947,13 @@ loop:
 					// Why is this not used for the offset shapes?
 					op.bounds = v.bounds
 				} else {
-					quads.aux, op.bounds = d.buildVerts(
+					pathData, bounds := d.buildVerts(
 						quads.aux, trans, op.outline, stroke, dashes,
 					)
+					op.bounds = bounds
+					if !d.compute {
+						quads.aux = pathData
+					}
 					// add it to the cache, without GPU data, so the transform can be
 					// reused.
 					d.pathCache.put(quads.key, opCacheValue{bounds: op.bounds})
@@ -952,7 +964,7 @@ loop:
 				quads.key.SetTransform(trans)
 			}
 			state.clip = state.clip.Intersect(op.bounds.Add(off))
-			d.addClipPath(&state, quads.aux, quads.key, op.bounds, off)
+			d.addClipPath(&state, quads.aux, quads.key, op.bounds, off, state.t, stroke, dashes)
 			quads = quadsOp{}
 			stroke = clip.StrokeStyle{}
 			dashes = dashOp{}
@@ -983,8 +995,8 @@ loop:
 				dst = layout.FRect(state.image.src.Rect)
 			}
 			clipData, bnd, partialTrans := d.boundsForTransformedRect(dst, trans)
-			clip := state.clip.Intersect(bnd.Add(off))
-			if clip.Empty() {
+			cl := state.clip.Intersect(bnd.Add(off))
+			if cl.Empty() {
 				continue
 			}
 
@@ -993,10 +1005,10 @@ loop:
 				// The paint operation is sheared or rotated, add a clip path representing
 				// this transformed rectangle.
 				encOp.Key.SetTransform(trans)
-				d.addClipPath(&state, clipData, encOp.Key, bnd, off)
+				d.addClipPath(&state, clipData, encOp.Key, bnd, off, state.t, clip.StrokeStyle{}, dashOp{})
 			}
 
-			bounds := boundRectF(clip)
+			bounds := boundRectF(cl)
 			mat := state.materialFor(bnd, off, partialTrans, bounds, state.t)
 
 			if bounds.Min == (image.Point{}) && bounds.Max == d.viewport && state.rect && mat.opaque && (mat.material == materialColor) {
@@ -1452,13 +1464,31 @@ func (d *drawOps) boundsForTransformedRect(r f32.Rectangle, tr f32.Affine2D) (au
 
 	// build the GPU vertices
 	l := len(d.vertCache)
-	d.vertCache = append(d.vertCache, make([]byte, vertStride*4*4)...)
-	aux = d.vertCache[l:]
-	encodeQuadTo(aux, 0, corners[0], corners[0].Add(corners[1]).Mul(0.5), corners[1])
-	encodeQuadTo(aux[vertStride*4:], 0, corners[1], corners[1].Add(corners[2]).Mul(0.5), corners[2])
-	encodeQuadTo(aux[vertStride*4*2:], 0, corners[2], corners[2].Add(corners[3]).Mul(0.5), corners[3])
-	encodeQuadTo(aux[vertStride*4*3:], 0, corners[3], corners[3].Add(corners[0]).Mul(0.5), corners[0])
-	fillMaxY(aux)
+	if !d.compute {
+		d.vertCache = append(d.vertCache, make([]byte, vertStride*4*4)...)
+		aux = d.vertCache[l:]
+		encodeQuadTo(aux, 0, corners[0], corners[0].Add(corners[1]).Mul(0.5), corners[1])
+		encodeQuadTo(aux[vertStride*4:], 0, corners[1], corners[1].Add(corners[2]).Mul(0.5), corners[2])
+		encodeQuadTo(aux[vertStride*4*2:], 0, corners[2], corners[2].Add(corners[3]).Mul(0.5), corners[3])
+		encodeQuadTo(aux[vertStride*4*3:], 0, corners[3], corners[3].Add(corners[0]).Mul(0.5), corners[0])
+		fillMaxY(aux)
+	} else {
+		d.vertCache = append(d.vertCache, make([]byte, (scene.CommandSize+4)*4)...)
+		aux = d.vertCache[l:]
+		buf := aux
+		bo := binary.LittleEndian
+		bo.PutUint32(buf, 0) // Contour
+		ops.EncodeCommand(buf[4:], scene.Line(r.Min, f32.Pt(r.Max.X, r.Min.Y), false, 0))
+		buf = buf[4+scene.CommandSize:]
+		bo.PutUint32(buf, 0)
+		ops.EncodeCommand(buf[4:], scene.Line(f32.Pt(r.Max.X, r.Min.Y), r.Max, false, 0))
+		buf = buf[4+scene.CommandSize:]
+		bo.PutUint32(buf, 0)
+		ops.EncodeCommand(buf[4:], scene.Line(r.Max, f32.Pt(r.Min.X, r.Max.Y), false, 0))
+		buf = buf[4+scene.CommandSize:]
+		bo.PutUint32(buf, 0)
+		ops.EncodeCommand(buf[4:], scene.Line(f32.Pt(r.Min.X, r.Max.Y), r.Min, false, 0))
+	}
 
 	// establish the transform mapping from bounds rectangle to transformed corners
 	var P1, P2, P3 f32.Point
diff --git a/internal/ops/ops.go b/internal/ops/ops.go
index 32105bce..4586685c 100644
--- a/internal/ops/ops.go
+++ b/internal/ops/ops.go
@@ -18,6 +18,10 @@ func DecodeCommand(d []byte) scene.Command {
 	return cmd
 }
 
+func EncodeCommand(out []byte, cmd scene.Command) {
+	copy(out, byteslice.Uint32(cmd[:]))
+}
+
 func DecodeTransform(data []byte) (t f32.Affine2D) {
 	if opconst.OpType(data[0]) != opconst.TypeTransform {
 		panic("invalid op")
diff --git a/internal/scene/scene.go b/internal/scene/scene.go
index 8326ef42..db663bf7 100644
--- a/internal/scene/scene.go
+++ b/internal/scene/scene.go
@@ -133,6 +133,15 @@ func FillImage(index int) Command {
 	}
 }
 
+func DecodeLine(cmd Command) (from, to f32.Point) {
+	if cmd[0] != uint32(OpFillLine) {
+		panic("invalid command")
+	}
+	from = f32.Pt(math.Float32frombits(cmd[1]), math.Float32frombits(cmd[2]))
+	to = f32.Pt(math.Float32frombits(cmd[3]), math.Float32frombits(cmd[4]))
+	return
+}
+
 func DecodeQuad(cmd Command) (from, ctrl, to f32.Point) {
 	if cmd[0] != uint32(OpFillQuad) {
 		panic("invalid command")
diff --git a/op/clip/clip.go b/op/clip/clip.go
index fe0e257a..0477e637 100644
--- a/op/clip/clip.go
+++ b/op/clip/clip.go
@@ -8,8 +8,8 @@ import (
 	"math"
 
 	"gioui.org/f32"
-	"gioui.org/internal/byteslice"
 	"gioui.org/internal/opconst"
+	"gioui.org/internal/ops"
 	"gioui.org/internal/scene"
 	"gioui.org/op"
 )
@@ -156,7 +156,7 @@ func (p *Path) QuadTo(ctrl, to f32.Point) {
 	data := p.ops.Write(scene.CommandSize + 4)
 	bo := binary.LittleEndian
 	bo.PutUint32(data[0:], uint32(p.contour))
-	encodeCommand(data[4:], scene.Quad(p.pen, ctrl, to, false))
+	ops.EncodeCommand(data[4:], scene.Quad(p.pen, ctrl, to, false))
 	p.pen = to
 	p.hasSegments = true
 }
@@ -392,7 +392,3 @@ func (o Outline) Op() Op {
 		outline: true,
 	}
 }
-
-func encodeCommand(out []byte, cmd scene.Command) {
-	copy(out, byteslice.Uint32(cmd[:]))
-}