diff --git a/README.md b/README.md
index 3b1f64b6442a788294de60b5bae29c984198349f..5eb7985ebbed8e3d92fc738ad303a848e5b529d4 100644
--- a/README.md
+++ b/README.md
@@ -1 +1,68 @@
-# polars_loess
+# Polars Loess
+
+This is a loess local regression (locally estimated scatterplot smoothing) implementation in Rust for Polars.
+
+**This is an early release. There is room for improvement in terms of performance, memory efficiency and feature set.
+I value feedback from the community to see where to go next.**
+
+## Installation
+
+```bash
+pip install polars-loess
+```
+
+## API
+
+```python
+loess(
+    'x-column',     # Name of the existing x-values
+    'y-column',     # Name of the existing y-values
+    'new-x-column', # Name of the new x values. y-values are interpolated for these x-values using loess
+    
+    # Optional float to specify the fraction of the data used in each local regression.
+    # Exactly one of frac or points must be specified.
+    frac=None,
+    
+    # Optional integer to specify the number of points used in each local regression.
+    # Exactly one of frac or points must be specified.
+    points=None,
+    
+    # Optional integer to specify the degree of the polynomial used in each local regression.
+    # Default is 1.
+    degree=None,
+)
+```
+
+
+## Example
+
+```python
+import polars as pl
+from polars_loess import loess
+
+df = pl.DataFrame({
+    'time': [
+        0.5578196, 2.0217271, 2.5773252, 3.4140288, 4.3014084,
+        4.7448394, 5.1073781, 6.5411662, 6.7216176, 7.2600583,
+        8.1335874, 9.1224379, 11.9296663, 12.3797674, 13.2728619,
+        14.2767453, 15.3731026, 15.6476637, 18.5605355, 18.5866354
+    ],
+    'price': [
+        18.63654, 103.49646, 150.35391, 190.51031, 208.70115,
+        213.71135, 228.49353, 233.55387, 234.55054, 223.89225,
+        227.68339, 223.91982, 168.01999, 164.95750, 152.61107,
+        160.78742, 168.55567, 152.42658, 221.70702, 222.69040,
+    ],
+})
+result = df.with_columns(loess = loess('time', 'price', 'time', frac=0.5))
+print(result)
+```
+
+Another example can be found in `run.py`. The result looks like.
+
+![Loess example](example.png)
+
+## Acknowledgements
+
+* The loess implementation is based on https://github.com/joaofig/loess-rs
+* The Python bindings are based on https://marcogorelli.github.io/polars-plugins-tutorial/
diff --git a/example.png b/example.png
new file mode 100644
index 0000000000000000000000000000000000000000..735080a6aba0d6789e63e2ced9a5c7217ff7f4de
Binary files /dev/null and b/example.png differ
diff --git a/polars_loess/__init__.py b/polars_loess/__init__.py
index 7f82cd5bbba00935b404d8920c64a2b5f06f9685..bece626a9c8b1a066e86fd985e893caaf1d01674 100644
--- a/polars_loess/__init__.py
+++ b/polars_loess/__init__.py
@@ -19,12 +19,12 @@ else:
     lib = Path(__file__).parent
 
 
-def loess(x: IntoExpr, y: IntoExpr, newx: IntoExpr, *, frac: float = None, points: int = None) -> pl.Expr:
+def loess(x: IntoExpr, y: IntoExpr, newx: IntoExpr, *, frac: float = None, points: int = None, degree: int = None) -> pl.Expr:
     return register_plugin(
         args=[x, y, newx],
         symbol="loess",
         is_elementwise=True,
         lib=lib,
-        kwargs={"frac": frac, "points": points},
+        kwargs={"frac": frac, "points": points, "degree": degree},
     )
 
diff --git a/pyproject.toml b/pyproject.toml
index 53e5f26002d814081f3a39cf0df24351873311e2..d7d885ae63b3a91f9df41d505c81e57cdee02c47 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -5,18 +5,33 @@ readme = "README.md"
 license = "MIT"
 version = "0.0.0"
 
+
 [project]
 name = "polars-loess"
-requires-python = ">=3.8"
+requires-python = ">=3.9"
+authors = [
+  {name = "Frank Sauerburger", email = "frank@sauerburger.com"}
+]
+description = "LOESS algorithm for Polars"
+keywords = ["polars", "loess", "regression", "smoothing", "data"]
 classifiers = [
   "Programming Language :: Rust",
   "Programming Language :: Python :: Implementation :: CPython",
   "Programming Language :: Python :: Implementation :: PyPy",
 ]
 
+[project.urls]
+"Homepage" = "https://gitlab.sauerburger.com/frank/polars-loess"
+
 [tool.maturin]
 module-name = "polars_loess._internal"
 
 [[tool.mypy.overrides]]
 module = "polars.utils.udfs"
 ignore_missing_imports = true
+
+[tool.uv]
+dev-dependencies = [
+    "matplotlib>=3.9.2",
+    "numpy>=2",
+]
diff --git a/run.py b/run.py
index 00258620c91fa3b8bf22ea746b2ac3e10e2fadb5..76028288293c985204cc3e50b566db7ed631e990 100644
--- a/run.py
+++ b/run.py
@@ -1,20 +1,27 @@
+import numpy as np
+import matplotlib.pyplot as plt
 import polars as pl
 from polars_loess import loess
 
+x = np.linspace(0, 20, 200)
 
+def func(x):
+    return x * (x - 14)**2
 
 df = pl.DataFrame({
-    'time': [0.5578196, 2.0217271, 2.5773252, 3.4140288, 4.3014084,
-     4.7448394, 5.1073781, 6.5411662, 6.7216176, 7.2600583,
-     8.1335874, 9.1224379, 11.9296663, 12.3797674, 13.2728619,
-     14.2767453, 15.3731026, 15.6476637, 18.5605355, 18.5866354,
-     18.7572812],
-    'price': [18.63654, 103.49646, 150.35391, 190.51031, 208.70115,
-        213.71135, 228.49353, 233.55387, 234.55054, 223.89225,
-        227.68339, 223.91982, 168.01999, 164.95750, 152.61107,
-        160.78742, 168.55567, 152.42658, 221.70702, 222.69040,
-        243.18828]
+    'time': x,
+    'value': np.random.normal(loc=func(x), scale=20),
 })
-result = df.with_columns(loess = loess('time', 'price', 'time', frac=0.5))
-print(result)
 
+result = df.with_columns(
+    frac05 = loess('time', 'value', 'time', frac=0.5, degree=2),
+)
+
+plt.plot(df['time'], df['value'], 'o', label='data')
+plt.plot(x, func(x), '-k', label='True')
+plt.plot(df['time'], result['frac05'], label='Loess')
+plt.legend(loc=2)
+plt.xlabel('Time')
+plt.ylabel('Value')
+plt.xlim(0, 20)
+plt.savefig('example.png', dpi=300)
diff --git a/src/expressions.rs b/src/expressions.rs
index 3c3a627f70d84bebcf6b01ae9644e60291fb9cf6..3eaca646036c8bdbdeee62ed6f431b291258858b 100644
--- a/src/expressions.rs
+++ b/src/expressions.rs
@@ -170,6 +170,7 @@ impl Loess {
 struct LoessParams {
     frac: Option<f64>,
     points: Option<usize>,
+    degree: Option<f64>
 }
 
 #[polars_expr(output_type=Float64)]
@@ -184,12 +185,17 @@ fn loess(inputs: &[Series], kwargs: LoessParams) -> PolarsResult<Series> {
         _ => polars_bail!(InvalidOperation:format!("Either `frac` or `points` must be provided")),
     };
 
+    let degree = match kwargs.degree {
+        Some(degree) => degree as usize,
+        None => 1,
+    };
+
     let xx = DVector::<f64>::from_iterator(x.len(), x.to_vec().iter().filter(|v| v.is_some()).map(|v| v.unwrap()));
     let yy = DVector::<f64>::from_iterator(y.len(), y.to_vec().iter().filter(|v| v.is_some()).map(|v| v.unwrap()));
 
     let loess: Loess = Loess::new(&xx, &yy);
 
-    let result = newx.apply(|optv| optv.map(|v| loess.estimate(v, window, true, 1)));
+    let result = newx.apply(|optv| optv.map(|v| loess.estimate(v, window, true, degree)));
     Ok(result.into_series())
 }
 
diff --git a/uv.lock b/uv.lock
new file mode 100644
index 0000000000000000000000000000000000000000..b140671b22c9908312f1528c69fe9989fbe29dad
--- /dev/null
+++ b/uv.lock
@@ -0,0 +1,470 @@
+version = 1
+requires-python = ">=3.9"
+resolution-markers = [
+    "python_full_version < '3.12'",
+    "python_full_version >= '3.12'",
+]
+
+[[package]]
+name = "contourpy"
+version = "1.1.0"
+source = { registry = "https://pypi.org/simple" }
+dependencies = [
+    { name = "numpy" },
+]
+sdist = { url = "https://files.pythonhosted.org/packages/a7/3b/632c003e1dfbc82d32c0466762f2d2cf139d26032626dc65944e38d0e5b9/contourpy-1.1.0.tar.gz", hash = "sha256:e53046c3863828d21d531cc3b53786e6580eb1ba02477e8681009b6aa0870b21", size = 13418968 }
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