diff --git a/crates/egui/src/containers/collapsing_header.rs b/crates/egui/src/containers/collapsing_header.rs
index 5eda61b6..5d12dc79 100644
--- a/crates/egui/src/containers/collapsing_header.rs
+++ b/crates/egui/src/containers/collapsing_header.rs
@@ -555,13 +555,12 @@ impl CollapsingHeader {
             let visuals = ui.style().interact_selectable(&header_response, selected);
 
             if ui.visuals().collapsing_header_frame || show_background {
-                ui.painter().add(epaint::RectShape {
-                    rect: header_response.rect.expand(visuals.expansion),
-                    rounding: visuals.rounding,
-                    fill: visuals.weak_bg_fill,
-                    stroke: visuals.bg_stroke,
-                    // stroke: Default::default(),
-                });
+                ui.painter().add(epaint::RectShape::new(
+                    header_response.rect.expand(visuals.expansion),
+                    visuals.rounding,
+                    visuals.weak_bg_fill,
+                    visuals.bg_stroke,
+                ));
             }
 
             if selected || selectable && (header_response.hovered() || header_response.has_focus())
diff --git a/crates/egui/src/containers/combo_box.rs b/crates/egui/src/containers/combo_box.rs
index 7bc12c7d..e29b12b4 100644
--- a/crates/egui/src/containers/combo_box.rs
+++ b/crates/egui/src/containers/combo_box.rs
@@ -383,12 +383,12 @@ fn button_frame(
 
         ui.painter().set(
             where_to_put_background,
-            epaint::RectShape {
-                rect: outer_rect.expand(visuals.expansion),
-                rounding: visuals.rounding,
-                fill: visuals.weak_bg_fill,
-                stroke: visuals.bg_stroke,
-            },
+            epaint::RectShape::new(
+                outer_rect.expand(visuals.expansion),
+                visuals.rounding,
+                visuals.weak_bg_fill,
+                visuals.bg_stroke,
+            ),
         );
     }
 
diff --git a/crates/egui/src/containers/frame.rs b/crates/egui/src/containers/frame.rs
index 08b5e5a0..6ce5cbc4 100644
--- a/crates/egui/src/containers/frame.rs
+++ b/crates/egui/src/containers/frame.rs
@@ -235,12 +235,7 @@ impl Frame {
             stroke,
         } = *self;
 
-        let frame_shape = Shape::Rect(epaint::RectShape {
-            rect: outer_rect,
-            rounding,
-            fill,
-            stroke,
-        });
+        let frame_shape = Shape::Rect(epaint::RectShape::new(outer_rect, rounding, fill, stroke));
 
         if shadow == Default::default() {
             frame_shape
diff --git a/crates/egui/src/painter.rs b/crates/egui/src/painter.rs
index 17028e6c..ab2b0c15 100644
--- a/crates/egui/src/painter.rs
+++ b/crates/egui/src/painter.rs
@@ -311,12 +311,7 @@ impl Painter {
         fill_color: impl Into<Color32>,
         stroke: impl Into<Stroke>,
     ) {
-        self.add(RectShape {
-            rect,
-            rounding: rounding.into(),
-            fill: fill_color.into(),
-            stroke: stroke.into(),
-        });
+        self.add(RectShape::new(rect, rounding, fill_color, stroke));
     }
 
     pub fn rect_filled(
@@ -325,12 +320,7 @@ impl Painter {
         rounding: impl Into<Rounding>,
         fill_color: impl Into<Color32>,
     ) {
-        self.add(RectShape {
-            rect,
-            rounding: rounding.into(),
-            fill: fill_color.into(),
-            stroke: Default::default(),
-        });
+        self.add(RectShape::filled(rect, rounding, fill_color));
     }
 
     pub fn rect_stroke(
@@ -339,12 +329,7 @@ impl Painter {
         rounding: impl Into<Rounding>,
         stroke: impl Into<Stroke>,
     ) {
-        self.add(RectShape {
-            rect,
-            rounding: rounding.into(),
-            fill: Default::default(),
-            stroke: stroke.into(),
-        });
+        self.add(RectShape::stroke(rect, rounding, stroke));
     }
 
     /// Show an arrow starting at `origin` and going in the direction of `vec`, with the length `vec.length()`.
diff --git a/crates/egui/src/widgets/button.rs b/crates/egui/src/widgets/button.rs
index ca211987..932918ab 100644
--- a/crates/egui/src/widgets/button.rs
+++ b/crates/egui/src/widgets/button.rs
@@ -318,12 +318,12 @@ impl<'a> Widget for Checkbox<'a> {
             // let visuals = ui.style().interact_selectable(&response, *checked); // too colorful
             let visuals = ui.style().interact(&response);
             let (small_icon_rect, big_icon_rect) = ui.spacing().icon_rectangles(rect);
-            ui.painter().add(epaint::RectShape {
-                rect: big_icon_rect.expand(visuals.expansion),
-                rounding: visuals.rounding,
-                fill: visuals.bg_fill,
-                stroke: visuals.bg_stroke,
-            });
+            ui.painter().add(epaint::RectShape::new(
+                big_icon_rect.expand(visuals.expansion),
+                visuals.rounding,
+                visuals.bg_fill,
+                visuals.bg_stroke,
+            ));
 
             if *checked {
                 // Check mark:
@@ -535,7 +535,7 @@ impl Widget for ImageButton {
                 let selection = ui.visuals().selection;
                 (
                     Vec2::ZERO,
-                    Rounding::none(),
+                    Rounding::ZERO,
                     selection.bg_fill,
                     selection.stroke,
                 )
@@ -552,6 +552,8 @@ impl Widget for ImageButton {
                 Default::default()
             };
 
+            let image = image.rounding(rounding); // apply rounding to the image
+
             // Draw frame background (for transparent images):
             ui.painter()
                 .rect_filled(rect.expand2(expansion), rounding, fill);
diff --git a/crates/egui/src/widgets/image.rs b/crates/egui/src/widgets/image.rs
index eaf4584d..487af9d3 100644
--- a/crates/egui/src/widgets/image.rs
+++ b/crates/egui/src/widgets/image.rs
@@ -42,6 +42,7 @@ pub struct Image {
     tint: Color32,
     sense: Sense,
     rotation: Option<(Rot2, Vec2)>,
+    rounding: Rounding,
 }
 
 impl Image {
@@ -54,6 +55,7 @@ impl Image {
             tint: Color32::WHITE,
             sense: Sense::hover(),
             rotation: None,
+            rounding: Rounding::ZERO,
         }
     }
 
@@ -89,8 +91,26 @@ impl Image {
     /// Origin is a vector in normalized UV space ((0,0) in top-left, (1,1) bottom right).
     ///
     /// To rotate about the center you can pass `Vec2::splat(0.5)` as the origin.
+    ///
+    /// Due to limitations in the current implementation,
+    /// this will turn off rounding of the image.
     pub fn rotate(mut self, angle: f32, origin: Vec2) -> Self {
         self.rotation = Some((Rot2::from_angle(angle), origin));
+        self.rounding = Rounding::ZERO; // incompatible with rotation
+        self
+    }
+
+    /// Round the corners of the image.
+    ///
+    /// The default is no rounding ([`Rounding::ZERO`]).
+    ///
+    /// Due to limitations in the current implementation,
+    /// this will turn off any rotation of the image.
+    pub fn rounding(mut self, rounding: impl Into<Rounding>) -> Self {
+        self.rounding = rounding.into();
+        if self.rounding != Rounding::ZERO {
+            self.rotation = None; // incompatible with rounding
+        }
         self
     }
 }
@@ -111,6 +131,7 @@ impl Image {
                 tint,
                 sense: _,
                 rotation,
+                rounding,
             } = self;
 
             if *bg_fill != Default::default() {
@@ -119,14 +140,27 @@ impl Image {
                 ui.painter().add(Shape::mesh(mesh));
             }
 
-            {
-                // TODO(emilk): builder pattern for Mesh
+            if let Some((rot, origin)) = rotation {
+                // TODO(emilk): implement this using `PathShape` (add texture support to it).
+                // This will also give us anti-aliasing of rotated images.
+                egui_assert!(
+                    *rounding == Rounding::ZERO,
+                    "Image had both rounding and rotation. Please pick only one"
+                );
+
                 let mut mesh = Mesh::with_texture(*texture_id);
                 mesh.add_rect_with_uv(rect, *uv, *tint);
-                if let Some((rot, origin)) = rotation {
-                    mesh.rotate(*rot, rect.min + *origin * *size);
-                }
+                mesh.rotate(*rot, rect.min + *origin * *size);
                 ui.painter().add(Shape::mesh(mesh));
+            } else {
+                ui.painter().add(RectShape {
+                    rect,
+                    rounding: *rounding,
+                    fill: *tint,
+                    stroke: Stroke::NONE,
+                    fill_texture_id: *texture_id,
+                    uv: *uv,
+                });
             }
         }
     }
diff --git a/crates/egui/src/widgets/plot/items/bar.rs b/crates/egui/src/widgets/plot/items/bar.rs
index 4ab6ebc7..7c4dbab0 100644
--- a/crates/egui/src/widgets/plot/items/bar.rs
+++ b/crates/egui/src/widgets/plot/items/bar.rs
@@ -127,12 +127,7 @@ impl Bar {
         };
 
         let rect = transform.rect_from_values(&self.bounds_min(), &self.bounds_max());
-        let rect = Shape::Rect(RectShape {
-            rect,
-            rounding: Rounding::none(),
-            fill,
-            stroke,
-        });
+        let rect = Shape::Rect(RectShape::new(rect, Rounding::ZERO, fill, stroke));
 
         shapes.push(rect);
     }
diff --git a/crates/egui/src/widgets/plot/items/box_elem.rs b/crates/egui/src/widgets/plot/items/box_elem.rs
index 3f915108..dab53fd7 100644
--- a/crates/egui/src/widgets/plot/items/box_elem.rs
+++ b/crates/egui/src/widgets/plot/items/box_elem.rs
@@ -150,12 +150,7 @@ impl BoxElem {
             &self.point_at(self.argument - self.box_width / 2.0, self.spread.quartile1),
             &self.point_at(self.argument + self.box_width / 2.0, self.spread.quartile3),
         );
-        let rect = Shape::Rect(RectShape {
-            rect,
-            rounding: Rounding::none(),
-            fill,
-            stroke,
-        });
+        let rect = Shape::Rect(RectShape::new(rect, Rounding::ZERO, fill, stroke));
         shapes.push(rect);
 
         let line_between = |v1, v2| {
diff --git a/crates/egui/src/widgets/plot/mod.rs b/crates/egui/src/widgets/plot/mod.rs
index 456f3dc1..4bd95337 100644
--- a/crates/egui/src/widgets/plot/mod.rs
+++ b/crates/egui/src/widgets/plot/mod.rs
@@ -864,12 +864,14 @@ impl Plot {
 
         // Background
         if show_background {
-            ui.painter().with_clip_rect(rect).add(epaint::RectShape {
-                rect,
-                rounding: Rounding::same(2.0),
-                fill: ui.visuals().extreme_bg_color,
-                stroke: ui.visuals().widgets.noninteractive.bg_stroke,
-            });
+            ui.painter()
+                .with_clip_rect(rect)
+                .add(epaint::RectShape::new(
+                    rect,
+                    Rounding::same(2.0),
+                    ui.visuals().extreme_bg_color,
+                    ui.visuals().widgets.noninteractive.bg_stroke,
+                ));
         }
 
         // --- Legend ---
diff --git a/crates/egui/src/widgets/text_edit/builder.rs b/crates/egui/src/widgets/text_edit/builder.rs
index e92bf9db..3019fa7f 100644
--- a/crates/egui/src/widgets/text_edit/builder.rs
+++ b/crates/egui/src/widgets/text_edit/builder.rs
@@ -368,31 +368,27 @@ impl<'t> TextEdit<'t> {
             let frame_rect = frame_rect.expand(visuals.expansion);
             let shape = if is_mutable {
                 if output.response.has_focus() {
-                    epaint::RectShape {
-                        rect: frame_rect,
-                        rounding: visuals.rounding,
-                        // fill: ui.visuals().selection.bg_fill,
-                        fill: ui.visuals().extreme_bg_color,
-                        stroke: ui.visuals().selection.stroke,
-                    }
+                    epaint::RectShape::new(
+                        frame_rect,
+                        visuals.rounding,
+                        ui.visuals().extreme_bg_color,
+                        ui.visuals().selection.stroke,
+                    )
                 } else {
-                    epaint::RectShape {
-                        rect: frame_rect,
-                        rounding: visuals.rounding,
-                        fill: ui.visuals().extreme_bg_color,
-                        stroke: visuals.bg_stroke, // TODO(emilk): we want to show something here, or a text-edit field doesn't "pop".
-                    }
+                    epaint::RectShape::new(
+                        frame_rect,
+                        visuals.rounding,
+                        ui.visuals().extreme_bg_color,
+                        visuals.bg_stroke, // TODO(emilk): we want to show something here, or a text-edit field doesn't "pop".
+                    )
                 }
             } else {
                 let visuals = &ui.style().visuals.widgets.inactive;
-                epaint::RectShape {
-                    rect: frame_rect,
-                    rounding: visuals.rounding,
-                    // fill: ui.visuals().extreme_bg_color,
-                    // fill: visuals.bg_fill,
-                    fill: Color32::TRANSPARENT,
-                    stroke: visuals.bg_stroke, // TODO(emilk): we want to show something here, or a text-edit field doesn't "pop".
-                }
+                epaint::RectShape::stroke(
+                    frame_rect,
+                    visuals.rounding,
+                    visuals.bg_stroke, // TODO(emilk): we want to show something here, or a text-edit field doesn't "pop".
+                )
             };
 
             ui.painter().set(where_to_put_background, shape);
diff --git a/crates/egui_demo_app/src/frame_history.rs b/crates/egui_demo_app/src/frame_history.rs
index 946f8ff9..f85a3a48 100644
--- a/crates/egui_demo_app/src/frame_history.rs
+++ b/crates/egui_demo_app/src/frame_history.rs
@@ -70,12 +70,12 @@ impl FrameHistory {
         let to_screen = emath::RectTransform::from_to(graph_rect, rect);
 
         let mut shapes = Vec::with_capacity(3 + 2 * history.len());
-        shapes.push(Shape::Rect(epaint::RectShape {
+        shapes.push(Shape::Rect(epaint::RectShape::new(
             rect,
-            rounding: style.rounding,
-            fill: ui.visuals().extreme_bg_color,
-            stroke: ui.style().noninteractive().bg_stroke,
-        }));
+            style.rounding,
+            ui.visuals().extreme_bg_color,
+            ui.style().noninteractive().bg_stroke,
+        )));
 
         let rect = rect.shrink(4.0);
         let color = ui.visuals().text_color();
diff --git a/crates/egui_demo_lib/src/demo/drag_and_drop.rs b/crates/egui_demo_lib/src/demo/drag_and_drop.rs
index 23d3daaf..7376d9b4 100644
--- a/crates/egui_demo_lib/src/demo/drag_and_drop.rs
+++ b/crates/egui_demo_lib/src/demo/drag_and_drop.rs
@@ -64,12 +64,7 @@ pub fn drop_target<R>(
 
     ui.painter().set(
         where_to_put_background,
-        epaint::RectShape {
-            rounding: style.rounding,
-            fill,
-            stroke,
-            rect,
-        },
+        epaint::RectShape::new(rect, style.rounding, fill, stroke),
     );
 
     InnerResponse::new(ret, response)
diff --git a/crates/egui_glium/examples/native_texture.rs b/crates/egui_glium/examples/native_texture.rs
index b19b08f0..94977cd6 100644
--- a/crates/egui_glium/examples/native_texture.rs
+++ b/crates/egui_glium/examples/native_texture.rs
@@ -8,7 +8,7 @@ fn main() {
 
     let mut egui_glium = egui_glium::EguiGlium::new(&display, &event_loop);
 
-    let png_data = include_bytes!("../../../examples/retained_image/src/rust-logo-256x256.png");
+    let png_data = include_bytes!("../../../examples/retained_image/src/crab.png");
     let image = load_glium_image(png_data);
     let image_size = egui::vec2(image.width as f32, image.height as f32);
     // Load to gpu memory
diff --git a/crates/emath/src/rect.rs b/crates/emath/src/rect.rs
index d6d148d2..0d5a1e8c 100644
--- a/crates/emath/src/rect.rs
+++ b/crates/emath/src/rect.rs
@@ -58,6 +58,12 @@ impl Rect {
         max: pos2(f32::NAN, f32::NAN),
     };
 
+    /// A [`Rect`] filled with zeroes.
+    pub const ZERO: Self = Self {
+        min: Pos2::ZERO,
+        max: Pos2::ZERO,
+    };
+
     #[inline(always)]
     pub const fn from_min_max(min: Pos2, max: Pos2) -> Self {
         Rect { min, max }
diff --git a/crates/epaint/src/mesh.rs b/crates/epaint/src/mesh.rs
index 62f0de21..266b46a0 100644
--- a/crates/epaint/src/mesh.rs
+++ b/crates/epaint/src/mesh.rs
@@ -120,13 +120,13 @@ impl Mesh {
     pub fn append_ref(&mut self, other: &Mesh) {
         crate::epaint_assert!(other.is_valid());
 
-        if !self.is_empty() {
+        if self.is_empty() {
+            self.texture_id = other.texture_id;
+        } else {
             assert_eq!(
                 self.texture_id, other.texture_id,
                 "Can't merge Mesh using different textures"
             );
-        } else {
-            self.texture_id = other.texture_id;
         }
 
         let index_offset = self.vertices.len() as u32;
diff --git a/crates/epaint/src/shape.rs b/crates/epaint/src/shape.rs
index 401f51d8..717cf404 100644
--- a/crates/epaint/src/shape.rs
+++ b/crates/epaint/src/shape.rs
@@ -282,6 +282,8 @@ impl Shape {
     pub fn texture_id(&self) -> super::TextureId {
         if let Shape::Mesh(mesh) = self {
             mesh.texture_id
+        } else if let Shape::Rect(rect_shape) = self {
+            rect_shape.fill_texture_id
         } else {
             super::TextureId::default()
         }
@@ -406,6 +408,8 @@ pub struct PathShape {
 
     /// Color and thickness of the line.
     pub stroke: Stroke,
+    // TODO(emilk): Add texture support either by supplying uv for each point,
+    // or by some transform from points to uv (e.g. a callback or a linear transform matrix).
 }
 
 impl PathShape {
@@ -476,7 +480,7 @@ impl From<PathShape> for Shape {
 pub struct RectShape {
     pub rect: Rect,
 
-    /// How rounded the corners are. Use `Rounding::none()` for no rounding.
+    /// How rounded the corners are. Use `Rounding::ZERO` for no rounding.
     pub rounding: Rounding,
 
     /// How to fill the rectangle.
@@ -484,9 +488,37 @@ pub struct RectShape {
 
     /// The thickness and color of the outline.
     pub stroke: Stroke,
+
+    /// If the rect should be filled with a texture, which one?
+    ///
+    /// The texture is multiplied with [`Self::fill`].
+    pub fill_texture_id: TextureId,
+
+    /// What UV coordinates to use for the texture?
+    ///
+    /// To display a texture, set [`Self::fill_texture_id`],
+    /// and set this to `Rect::from_min_max(pos2(0.0, 0.0), pos2(1.0, 1.0))`.
+    pub uv: Rect,
 }
 
 impl RectShape {
+    #[inline]
+    pub fn new(
+        rect: Rect,
+        rounding: impl Into<Rounding>,
+        fill_color: impl Into<Color32>,
+        stroke: impl Into<Stroke>,
+    ) -> Self {
+        Self {
+            rect,
+            rounding: rounding.into(),
+            fill: fill_color.into(),
+            stroke: stroke.into(),
+            fill_texture_id: Default::default(),
+            uv: Rect::ZERO,
+        }
+    }
+
     #[inline]
     pub fn filled(
         rect: Rect,
@@ -498,6 +530,8 @@ impl RectShape {
             rounding: rounding.into(),
             fill: fill_color.into(),
             stroke: Default::default(),
+            fill_texture_id: Default::default(),
+            uv: Rect::ZERO,
         }
     }
 
@@ -508,6 +542,8 @@ impl RectShape {
             rounding: rounding.into(),
             fill: Default::default(),
             stroke: stroke.into(),
+            fill_texture_id: Default::default(),
+            uv: Rect::ZERO,
         }
     }
 
@@ -549,7 +585,7 @@ pub struct Rounding {
 impl Default for Rounding {
     #[inline]
     fn default() -> Self {
-        Self::none()
+        Self::ZERO
     }
 }
 
@@ -566,6 +602,14 @@ impl From<f32> for Rounding {
 }
 
 impl Rounding {
+    /// No rounding on any corner.
+    pub const ZERO: Self = Self {
+        nw: 0.0,
+        ne: 0.0,
+        sw: 0.0,
+        se: 0.0,
+    };
+
     #[inline]
     pub fn same(radius: f32) -> Self {
         Self {
@@ -577,6 +621,7 @@ impl Rounding {
     }
 
     #[inline]
+    #[deprecated = "Use Rounding::ZERO"]
     pub fn none() -> Self {
         Self {
             nw: 0.0,
diff --git a/crates/epaint/src/tessellator.rs b/crates/epaint/src/tessellator.rs
index facb2612..44300cab 100644
--- a/crates/epaint/src/tessellator.rs
+++ b/crates/epaint/src/tessellator.rs
@@ -492,6 +492,20 @@ impl Path {
     pub fn fill(&mut self, feathering: f32, color: Color32, out: &mut Mesh) {
         fill_closed_path(feathering, &mut self.0, color, out);
     }
+
+    /// Like [`Self::fill`] but with texturing.
+    ///
+    /// The `uv_from_pos` is called for each vertex position.
+    pub fn fill_with_uv(
+        &mut self,
+        feathering: f32,
+        color: Color32,
+        texture_id: TextureId,
+        uv_from_pos: impl Fn(Pos2) -> Pos2,
+        out: &mut Mesh,
+    ) {
+        fill_closed_path_with_uv(feathering, &mut self.0, color, texture_id, uv_from_pos, out);
+    }
 }
 
 pub mod path {
@@ -508,7 +522,7 @@ pub mod path {
 
         let r = clamp_radius(rounding, rect);
 
-        if r == Rounding::none() {
+        if r == Rounding::ZERO {
             let min = rect.min;
             let max = rect.max;
             path.reserve(4);
@@ -728,6 +742,89 @@ fn fill_closed_path(feathering: f32, path: &mut [PathPoint], color: Color32, out
     }
 }
 
+/// Like [`fill_closed_path`] but with texturing.
+///
+/// The `uv_from_pos` is called for each vertex position.
+fn fill_closed_path_with_uv(
+    feathering: f32,
+    path: &mut [PathPoint],
+    color: Color32,
+    texture_id: TextureId,
+    uv_from_pos: impl Fn(Pos2) -> Pos2,
+    out: &mut Mesh,
+) {
+    if color == Color32::TRANSPARENT {
+        return;
+    }
+
+    if out.is_empty() {
+        out.texture_id = texture_id;
+    } else {
+        assert_eq!(
+            out.texture_id, texture_id,
+            "Mixing different `texture_id` in the same "
+        );
+    }
+
+    let n = path.len() as u32;
+    if feathering > 0.0 {
+        if cw_signed_area(path) < 0.0 {
+            // Wrong winding order - fix:
+            path.reverse();
+            for point in path.iter_mut() {
+                point.normal = -point.normal;
+            }
+        }
+
+        out.reserve_triangles(3 * n as usize);
+        out.reserve_vertices(2 * n as usize);
+        let color_outer = Color32::TRANSPARENT;
+        let idx_inner = out.vertices.len() as u32;
+        let idx_outer = idx_inner + 1;
+
+        // The fill:
+        for i in 2..n {
+            out.add_triangle(idx_inner + 2 * (i - 1), idx_inner, idx_inner + 2 * i);
+        }
+
+        // The feathering:
+        let mut i0 = n - 1;
+        for i1 in 0..n {
+            let p1 = &path[i1 as usize];
+            let dm = 0.5 * feathering * p1.normal;
+
+            let pos = p1.pos - dm;
+            out.vertices.push(Vertex {
+                pos,
+                uv: uv_from_pos(pos),
+                color,
+            });
+
+            let pos = p1.pos + dm;
+            out.vertices.push(Vertex {
+                pos,
+                uv: uv_from_pos(pos),
+                color: color_outer,
+            });
+
+            out.add_triangle(idx_inner + i1 * 2, idx_inner + i0 * 2, idx_outer + 2 * i0);
+            out.add_triangle(idx_outer + i0 * 2, idx_outer + i1 * 2, idx_inner + 2 * i1);
+            i0 = i1;
+        }
+    } else {
+        out.reserve_triangles(n as usize);
+        let idx = out.vertices.len() as u32;
+        out.vertices.extend(path.iter().map(|p| Vertex {
+            pos: p.pos,
+            uv: uv_from_pos(p.pos),
+            color,
+        }));
+        for i in 2..n {
+            out.add_triangle(idx, idx + i - 1, idx + i);
+        }
+    }
+}
+
 /// Tessellate the given path as a stroke with thickness.
 fn stroke_path(
     feathering: f32,
@@ -1304,6 +1401,8 @@ impl Tessellator {
             rounding,
             fill,
             stroke,
+            fill_texture_id,
+            uv,
         } = *rect;
 
         if self.options.coarse_tessellation_culling
@@ -1345,7 +1444,21 @@ impl Tessellator {
             path.clear();
             path::rounded_rectangle(&mut self.scratchpad_points, rect, rounding);
             path.add_line_loop(&self.scratchpad_points);
-            path.fill(self.feathering, fill, out);
+
+            if uv.is_positive() {
+                // Textured
+                let uv_from_pos = |p: Pos2| {
+                    pos2(
+                        remap(p.x, rect.x_range(), uv.x_range()),
+                        remap(p.y, rect.y_range(), uv.y_range()),
+                    )
+                };
+                path.fill_with_uv(self.feathering, fill, fill_texture_id, uv_from_pos, out);
+            } else {
+                // Untextured
+                path.fill(self.feathering, fill, out);
+            }
+
             path.stroke_closed(self.feathering, stroke, out);
         }
     }
diff --git a/examples/retained_image/src/crab.png b/examples/retained_image/src/crab.png
new file mode 100644
index 00000000..781b2199
Binary files /dev/null and b/examples/retained_image/src/crab.png differ
diff --git a/examples/retained_image/src/main.rs b/examples/retained_image/src/main.rs
index 148217fc..f96fb964 100644
--- a/examples/retained_image/src/main.rs
+++ b/examples/retained_image/src/main.rs
@@ -6,7 +6,7 @@ use egui_extras::RetainedImage;
 fn main() -> Result<(), eframe::Error> {
     env_logger::init(); // Log to stderr (if you run with `RUST_LOG=debug`).
     let options = eframe::NativeOptions {
-        initial_window_size: Some(egui::vec2(300.0, 900.0)),
+        initial_window_size: Some(egui::vec2(400.0, 1000.0)),
         ..Default::default()
     };
     eframe::run_native(
@@ -18,48 +18,66 @@ fn main() -> Result<(), eframe::Error> {
 
 struct MyApp {
     image: RetainedImage,
+    rounding: f32,
     tint: egui::Color32,
 }
 
 impl Default for MyApp {
     fn default() -> Self {
         Self {
-            image: RetainedImage::from_image_bytes(
-                "rust-logo-256x256.png",
-                include_bytes!("rust-logo-256x256.png"),
-            )
-            .unwrap(),
-            tint: egui::Color32::from_rgb(255, 0, 255),
+            // crab image is CC0, found on https://stocksnap.io/search/crab
+            image: RetainedImage::from_image_bytes("crab.png", include_bytes!("crab.png")).unwrap(),
+            rounding: 32.0,
+            tint: egui::Color32::from_rgb(100, 200, 200),
         }
     }
 }
 
 impl eframe::App for MyApp {
     fn update(&mut self, ctx: &egui::Context, _frame: &mut eframe::Frame) {
+        let Self {
+            image,
+            rounding,
+            tint,
+        } = self;
+
         egui::CentralPanel::default().show(ctx, |ui| {
             ui.heading("This is an image:");
-            self.image.show(ui);
+            image.show(ui);
 
-            ui.heading("This is a rotated image with a tint:");
+            ui.add_space(32.0);
+
+            ui.heading("This is a tinted image with rounded corners:");
             ui.add(
-                egui::Image::new(self.image.texture_id(ctx), self.image.size_vec2())
-                    .rotate(45.0_f32.to_radians(), egui::Vec2::splat(0.5))
-                    .tint(self.tint),
+                egui::Image::new(image.texture_id(ctx), image.size_vec2())
+                    .tint(*tint)
+                    .rounding(*rounding),
             );
 
             ui.horizontal(|ui| {
                 ui.label("Tint:");
                 egui::color_picker::color_edit_button_srgba(
                     ui,
-                    &mut self.tint,
+                    tint,
                     egui::color_picker::Alpha::BlendOrAdditive,
                 );
+
+                ui.add_space(16.0);
+
+                ui.label("Rounding:");
+                ui.add(
+                    egui::DragValue::new(rounding)
+                        .speed(1.0)
+                        .clamp_range(0.0..=0.5 * image.size_vec2().min_elem()),
+                );
             });
 
+            ui.add_space(32.0);
+
             ui.heading("This is an image you can click:");
             ui.add(egui::ImageButton::new(
-                self.image.texture_id(ctx),
-                self.image.size_vec2(),
+                image.texture_id(ctx),
+                image.size_vec2(),
             ));
         });
     }
diff --git a/examples/retained_image/src/rust-logo-256x256.png b/examples/retained_image/src/rust-logo-256x256.png
deleted file mode 100644
index f5ddd63f..00000000
Binary files a/examples/retained_image/src/rust-logo-256x256.png and /dev/null differ
diff --git a/examples/retained_image/src/rust-logo-license.txt b/examples/retained_image/src/rust-logo-license.txt
deleted file mode 100644
index 7efaf759..00000000
--- a/examples/retained_image/src/rust-logo-license.txt
+++ /dev/null
@@ -1 +0,0 @@
-Rust logo by Mozilla, from https://github.com/rust-lang/rust-artwork