diff --git a/CHANGELOG.md b/CHANGELOG.md
index 01fcc04c..a9842515 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,7 +5,7 @@
 New features and improvements:
 * Added `lswap` command to swap the content of two layers (#300)
 * Added `lreverse` command to reverse the order of paths within a layer (#300)
-* Improved HPGL export (#253, #310, #316)
+* Improved HPGL export (#253, #310, #316, #335)
 
   * Relative coordinates are now used by default to reduce file size. If absolute coordinates are needed, they a new `--absolute` option for the `write` command.
   * A homing command (as defined by the `final_pu_params` configuration parameter) is no longer emitted between layers.
diff --git a/tests/test_hpgl.py b/tests/test_hpgl.py
index ac7579cf..1e9c0f65 100644
--- a/tests/test_hpgl.py
+++ b/tests/test_hpgl.py
@@ -334,6 +334,31 @@ def test_hpgl_paper_size_inference_fail(runner):
     assert res.stdout.strip() == ""
 
 
+def test_hpgl_relative_no_aliasing(runner):
+    # This generates two lines of the same length, one split in small bits. Relative export
+    # is expected to avoid aliasing when differentiating subsequent point position.
+    res = runner.invoke(
+        cli,
+        "begin grid -o 0 0.11mm 1 1200 line 0 0 0 0.11mm end linemerge translate 0.1cm 0 "
+        "line 0 0 0 13.2cm linemerge layout a4  write -f hpgl -d hp7475a -",
+    )
+
+    cmds = res.stdout.strip().split(";")
+
+    # Note: the following indices depends on the weird bug that a `line` command after a
+    # `begin`/`end` block is using a new layer (i.e. layer 2) instead of the same layer as
+    # before
+    line1_pd = cmds[6]
+    assert line1_pd.startswith("PD")
+    line2_pd = cmds[10]
+    assert line2_pd.startswith("PD")
+
+    line1_length = sum(map(int, line1_pd.lstrip("PD").split(",")[0::2]))
+    line2_length = int(line2_pd.lstrip("PD").split(",")[0])
+
+    assert abs(line1_length) == abs(line2_length)
+
+
 def test_hpgl_flex_no_pagesize(simple_printer_config):
     doc = vp.Document()
     doc.add(vp.LineCollection([(1 + 1j, 2 + 4j)]))
diff --git a/vpype/io.py b/vpype/io.py
index c2334a08..dc6c867e 100644
--- a/vpype/io.py
+++ b/vpype/io.py
@@ -635,6 +635,10 @@ def complex_to_str(p: complex) -> str:
                     + ";"
                 )
             else:
+                # snap all points of the line to the HPGL grid, such as to avoid any aliasing
+                # when computing the diff between points
+                line = np.round(line)
+
                 if last_point is None:
                     output.write(f"PU{complex_to_str(line[0])};PR;")
                 else: