diff --git a/editor.go b/editor.go
index be72fd1..3e8fd96 100644
--- a/editor.go
+++ b/editor.go
@@ -177,27 +177,29 @@ func (e *editor) mutateLabels(fn func(i int, l uint32) (uint32, bool)) error {
 }
 
 func (e *editor) passThrough(fn func(int, mat.Vec3) bool) error {
-	pp, err := passThrough(e.pp, fn)
+	it, err := e.pp.Vec3Iterator()
 	if err != nil {
 		return err
 	}
-	if err := e.push(newUndoDataEntireCloud(e.pp)); err != nil {
+	pcNew, p := compactInPlace(e.pp, func(i int) bool {
+		return fn(i, it.Vec3At(i))
+	})
+	e.pp = pcNew
+	if err := e.push(p); err != nil {
 		return err
 	}
-	e.pp = pp
 	runtime.GC()
 	return nil
 }
 
 func (e *editor) passThroughByMask(sel []uint32, mask, val uint32) error {
-	pp, err := passThroughByMask(e.pp, sel, mask, val)
-	if err != nil {
-		return err
-	}
-	if err := e.push(newUndoDataEntireCloud(e.pp)); err != nil {
+	pcNew, p := compactInPlace(e.pp, func(i int) bool {
+		return sel[i]&mask == val
+	})
+	e.pp = pcNew
+	if err := e.push(p); err != nil {
 		return err
 	}
-	e.pp = pp
 	runtime.GC()
 	return nil
 }
@@ -222,6 +224,39 @@ func (e *editor) unlabelPoints(labelsToKeep []uint32) error {
 	})
 }
 
+// Spare capacity of pp.Data is kept so that undo can re-expand without allocation
+func compactInPlace(pp *pc.PointCloud, keep func(i int) bool) (*pc.PointCloud, *undoDataRemovedPoints) {
+	stride := pp.Stride()
+	p := &undoDataRemovedPoints{OldWidth: pp.Width, OldHeight: pp.Height}
+	n := pp.Points
+	j := 0
+	runStart := -1
+	flush := func(end int) {
+		if runStart < 0 {
+			return
+		}
+		cnt := end - runStart
+		if runStart != j {
+			copy(pp.Data[j*stride:(j+cnt)*stride], pp.Data[runStart*stride:end*stride])
+		}
+		j += cnt
+		runStart = -1
+	}
+	for i := 0; i < n; i++ {
+		if keep(i) {
+			if runStart < 0 {
+				runStart = i
+			}
+			continue
+		}
+		flush(i)
+		p.Indices = append(p.Indices, uint32(i))
+		p.points = append(p.points, pp.Data[i*stride:(i+1)*stride]...)
+	}
+	flush(n)
+	return newCloudView(pp, j, j, 1, pp.Data[:j*stride]), p
+}
+
 func passThrough(pp *pc.PointCloud, fn func(int, mat.Vec3) bool) (*pc.PointCloud, error) {
 	it, err := pp.Vec3Iterator()
 	if err != nil {
diff --git a/record.go b/record.go
index 9ca1c00..1674dd4 100644
--- a/record.go
+++ b/record.go
@@ -22,6 +22,7 @@ func init() {
 	gob.Register(&undoDataEntireCloud{})
 	gob.Register(&undoDataLabels{})
 	gob.Register(&undoDataSize{})
+	gob.Register(&undoDataRemovedPoints{})
 }
 
 // pcgol caches an unsafe float32 alias of Data keyed only by its base pointer,
@@ -111,6 +112,58 @@ func (p *undoDataLabels) payload() []byte {
 
 func (p *undoDataLabels) setPayload([]byte) {}
 
+type undoDataRemovedPoints struct {
+	OldWidth, OldHeight int
+	Indices             []uint32 // ascending original positions of the removed points
+	points              []byte
+}
+
+func (p *undoDataRemovedPoints) restore(pp *pc.PointCloud) (*pc.PointCloud, error) {
+	stride := pp.Stride()
+	if len(p.points) != len(p.Indices)*stride {
+		return nil, errBrokenRecord
+	}
+	oldN := pp.Points + len(p.Indices)
+	need := oldN * stride
+	var data []byte
+	if cap(pp.Data) >= need {
+		data = pp.Data[:need]
+	} else {
+		data = make([]byte, need)
+		copy(data, pp.Data)
+	}
+
+	// Walk backwards so that every move reads a not-yet-overwritten position
+	di := len(p.Indices) - 1
+	src := pp.Points - 1
+	for dst := oldN - 1; dst >= 0; dst-- {
+		if di >= 0 && int(p.Indices[di]) == dst {
+			copy(data[dst*stride:(dst+1)*stride], p.points[di*stride:(di+1)*stride])
+			di--
+		} else {
+			if src < 0 {
+				return nil, errBrokenRecord
+			}
+			if dst != src {
+				copy(data[dst*stride:(dst+1)*stride], data[src*stride:(src+1)*stride])
+			}
+			src--
+		}
+	}
+	if di >= 0 {
+		return nil, errBrokenRecord
+	}
+	return newCloudView(pp, oldN, p.OldWidth, p.OldHeight, data), nil
+}
+
+func (p *undoDataRemovedPoints) payload() []byte {
+	return p.points
+}
+
+func (p *undoDataRemovedPoints) setPayload(data []byte) {
+	p.points = data
+}
+
 type undoDataSize struct {
 	Points, Width, Height int
 }
diff --git a/record_test.go b/record_test.go
index 256b0e3..570866a 100644
--- a/record_test.go
+++ b/record_test.go
@@ -74,6 +74,74 @@ func TestUndoDataLabelsRestore(t *testing.T) {
 	assertCloudEqual(t, orig, out)
 }
 
+func deleteForTest(pp *pc.PointCloud, removed map[int]bool) *undoDataRemovedPoints {
+	stride := pp.Stride()
+	p := &undoDataRemovedPoints{
+		OldWidth:  pp.Width,
+		OldHeight: pp.Height,
+	}
+	j := 0
+	for i := 0; i < pp.Points; i++ {
+		if removed[i] {
+			p.Indices = append(p.Indices, uint32(i))
+			p.points = append(p.points, pp.Data[i*stride:(i+1)*stride]...)
+			continue
+		}
+		if i != j {
+			copy(pp.Data[j*stride:(j+1)*stride], pp.Data[i*stride:(i+1)*stride])
+		}
+		j++
+	}
+	pp.Points = j
+	pp.Width = j
+	pp.Height = 1
+	pp.Data = pp.Data[:j*stride]
+	return p
+}
+
+func TestUndoDataRemovedPointsRestore(t *testing.T) {
+	for name, removed := range map[string]map[int]bool{
+		"Scattered": {1: true, 5: true, 6: true, 99: true},
+		"Head":      {0: true, 1: true, 2: true},
+		"Tail":      {97: true, 98: true, 99: true},
+		"All":       allIndices(100),
+		"None":      {},
+	} {
+		t.Run(name, func(t *testing.T) {
+			orig := makeTestCloud(t, 100, 10, 10)
+			t.Run("KeptCapacity", func(t *testing.T) {
+				pp := cloneCloud(orig)
+				p := deleteForTest(pp, removed)
+				out, err := p.restore(pp)
+				if err != nil {
+					t.Fatal(err)
+				}
+				assertCloudEqual(t, orig, out)
+			})
+			t.Run("NoSpareCapacity", func(t *testing.T) {
+				pp := cloneCloud(orig)
+				p := deleteForTest(pp, removed)
+				// Drop the spare capacity to exercise the reallocation
+				// path (a no-op for the None pattern).
+				pp.Data = append([]byte{}, pp.Data...)
+				out, err := p.restore(pp)
+				if err != nil {
+					t.Fatal(err)
+				}
+				assertCloudEqual(t, orig, out)
+			})
+		})
+	}
+}
+
+func allIndices(n int) map[int]bool {
+	m := map[int]bool{}
+	for i := 0; i < n; i++ {
+		m[i] = true
+	}
+	return m
+}
+
 func TestUndoDataSizeRestore(t *testing.T) {
 	orig := makeTestCloud(t, 100, 10, 10)
 	pp := cloneCloud(orig)
@@ -114,6 +182,11 @@ func TestRecordEncodeDecodeRoundTrip(t *testing.T) {
 		"EntireCloud": newUndoDataEntireCloud(orig),
 		"Labels":      &undoDataLabels{Indices: []uint32{1, 2, 42}, OldLabels: []uint32{7, 8, 9}},
 		"Size":        &undoDataSize{Points: 90, Width: 9, Height: 10},
+		"RemovedPoints": &undoDataRemovedPoints{
+			OldWidth: 10, OldHeight: 10,
+			Indices: []uint32{0, 50, 99},
+			points:  bytes.Repeat([]byte{1, 2, 3, 4}, 3*4),
+		},
 	} {
 		t.Run(name, func(t *testing.T) {
 			var buf bytes.Buffer