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diff --git a/Cargo.toml b/Cargo.toml
index a970d7c0..45c2801f 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -13,9 +13,9 @@ name = "coupe"
 version = "0.1.0"
 authors = [
     "Armand Touminet <armand.touminet@protonmail.com>", 
-    "Hubert Hirtz <hubert@hirtz.pm>",
-    "Cédric Chevalier", 
-    "Sébastien Morais"
+    "Cédric Chevalier <cedric.chevalier@cea.fr>",
+    "Hubert Hirtz <hubert.hirtz@cea.fr",
+    "Sébastien Morais <sebastien.morais@cea.fr>",
 ]
 edition = "2021"
 license = "MIT OR Apache-2.0"
diff --git a/README.md b/README.md
index 4a01d2bb..99458409 100644
--- a/README.md
+++ b/README.md
@@ -1,11 +1,55 @@
 # [coupe]
 
-A modular, multi-threaded partitioning library.
+A modular, multithreaded partitioning library.
 
 Coupe implements a variety of algorithms that can be used to partition meshes,
-graphs and numbers.  See [the API docs][coupe] for a list.  These algorithms can
+graphs and numbers. See [the API docs][coupe] for a list. These algorithms can
 be composed together to build relevant partitions of your data.
 
+## Getting Coupe
+
+### Released versions
+
+The simplest way to use `Coupe` is from Rust, referencing `coupe` crate.
+
+### Building from source
+
+`Coupe` is written in Rust, so you'll need to grab a Rust installation in order to compile it. In general, `Coupe`
+tracks the latest stable release of the Rust compiler.
+
+To build the whole `Coupe` platform:
+
+```shell
+git clone https://github.com/LIHPC-Computational-Geometry/coupe/
+cd coupe
+cargo build --workspace --release
+```
+
+By default, `Coupe` tools need `Scotch` and `Metis`. It can be disabled using
+
+```shell
+cargo build --workspace --release --no-default-features
+```
+
+Else, if you want `Scotch` or `Metis` support, you might need to pass some information about header location.
+On some systems, files like `scotch.h` are not in standard include directories. One can configure it
+using `BINDGEN_EXTRA_CLANG_ARGS` environment variable.
+It can be set from the shell or using `.cargo/config.toml` file like this (this example is for debian and ubuntu
+systems)
+
+```toml
+[env]
+BINDGEN_EXTRA_CLANG_ARGS = "-I/usr/include/scotch"
+```
+
+`Coupe` is relatively well-tested, including both unit tests and integration tests. To run the full test suite, use:
+
+```shell
+cargo test --all --workspace
+```
+
+from the repository root.
+
 ## Usage
 
 ### From the command-line
@@ -22,8 +66,8 @@ example usages of the library.
 
 Coupe offers a C interface which can be found in the `ffi/` directory.
 
-Bindings for other languages have not been made yet.  If you end up developing
-such bindings, please send us a note so they can be shown here!
+Bindings for other languages have not been made yet. If you end up developing
+such bindings, please send us a note, so they can be shown here!
 
 ## Contributing
 
@@ -36,10 +80,10 @@ reports on the [issue tracker][issues].
 
 Licensed under either of
 
- * Apache License, Version 2.0
-   ([LICENSE-APACHE](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
- * MIT license
-   ([LICENSE-MIT](LICENSE-MIT) or http://opensource.org/licenses/MIT)
+* Apache License, Version 2.0
+  ([LICENSE-APACHE](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
+* MIT license
+  ([LICENSE-MIT](LICENSE-MIT) or http://opensource.org/licenses/MIT)
 
 at your option.
 
@@ -47,9 +91,10 @@ Unless you explicitly state otherwise, any contribution intentionally submitted
 for inclusion in the work by you, as defined in the Apache-2.0 license, shall be
 dual licensed as above, without any additional terms or conditions.
 
-
-[67]: https://github.com/LIHPC-Computational-Geometry/coupe/pull/67
 [coupe]: https://docs.rs/coupe
+
 [discussions]: https://github.com/LIHPC-Computational-Geometry/coupe/discussions
+
 [issues]: https://github.com/LIHPC-Computational-Geometry/coupe/issues
+
 [pulls]: https://github.com/LIHPC-Computational-Geometry/coupe/pulls
diff --git a/src/algorithms/hilbert_curve.rs b/src/algorithms/hilbert_curve.rs
index 18760191..993e783e 100644
--- a/src/algorithms/hilbert_curve.rs
+++ b/src/algorithms/hilbert_curve.rs
@@ -11,6 +11,7 @@
 //! The complexity of encoding a point is O(order)
 
 use crate::geometry::OrientedBoundingBox;
+use crate::nextafter::nextafter;
 use crate::Point2D;
 use crate::Point3D;
 use crate::PointND;
@@ -201,7 +202,7 @@ fn segment_to_segment(min: f64, max: f64, order: usize) -> impl Fn(f64) -> u64 {
 
     // Map max to (2**order-1).
     while n <= width * f {
-        f = crate::nextafter(f, 0.0);
+        f = nextafter(f, 0.0);
     }
 
     move |v| {
@@ -582,13 +583,13 @@ mod tests {
         assert_eq!(mapping(7.0), 6);
         assert_eq!(mapping(8.0), 7);
 
-        assert_eq!(mapping(crate::nextafter(1.0, f64::INFINITY)), 1);
-        assert_eq!(mapping(crate::nextafter(2.0, f64::INFINITY)), 2);
-        assert_eq!(mapping(crate::nextafter(3.0, f64::INFINITY)), 3);
-        assert_eq!(mapping(crate::nextafter(4.0, f64::INFINITY)), 4);
-        assert_eq!(mapping(crate::nextafter(5.0, f64::INFINITY)), 5);
-        assert_eq!(mapping(crate::nextafter(6.0, f64::INFINITY)), 6);
-        assert_eq!(mapping(crate::nextafter(7.0, f64::INFINITY)), 7);
+        assert_eq!(mapping(nextafter(1.0, f64::INFINITY)), 1);
+        assert_eq!(mapping(nextafter(2.0, f64::INFINITY)), 2);
+        assert_eq!(mapping(nextafter(3.0, f64::INFINITY)), 3);
+        assert_eq!(mapping(nextafter(4.0, f64::INFINITY)), 4);
+        assert_eq!(mapping(nextafter(5.0, f64::INFINITY)), 5);
+        assert_eq!(mapping(nextafter(6.0, f64::INFINITY)), 6);
+        assert_eq!(mapping(nextafter(7.0, f64::INFINITY)), 7);
     }
 
     #[test]
diff --git a/src/lib.rs b/src/lib.rs
index af759bc7..c3d8abfc 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -1,31 +1,99 @@
-//! A mesh partitioning library that implements multithreaded, composable geometric algorithms.
+//! This package that implements multithreaded, composable partitioning algorithms.
 //!
-//! # Crate Layout
+//! It contains methods to solve:
+//! - [geometric partitioning](#geometric-partitioning)
+//! - [number partitioning](#number-partitioning)
+//! - [topological partitioning](#topological-partitioning)
 //!
 //! Coupe exposes a [`Partition`] trait, which is in turn implemented by
 //! algorithms.  See its documentation for more details.  The trait is generic around its input, which means algorithms
 //! can partition different type of collections (e.g. 2D and 3D meshes).
 //!
-//! # Available algorithms
+//! # Library Use
 //!
-//! ## Partitioner algorithms
+//! ```rust
+//! # fn main() -> Result<(), coupe::Error> {
+//! extern crate coupe;
+//! use coupe::Partition as _;
+//! use coupe::Point2D;
+//!
+//! // define coordinates
+//! let coordinates: [Point2D; 9] = [
+//!   // define some points
+//! #        Point2D::new(0.0, 0.0),
+//! #        Point2D::new(0.0, 1.0),
+//! #        Point2D::new(0.0, 2.0),
+//! #        Point2D::new(1.0, 0.0),
+//! #        Point2D::new(1.0, 1.0),
+//! #        Point2D::new(1.0, 2.0),
+//! #        Point2D::new(2.0, 0.0),
+//! #        Point2D::new(2.0, 1.0),
+//! #        Point2D::new(2.0, 2.0),
+//! ];
+//! // Define weights
+//! let weights: [f64; 9] = [1.0, 2.0, 3.0, 2.0, 3.0, 4.0, 3.0, 4.0, 5.0];
+//! // define graph
+//! let graph: sprs::CsMat<i64> = {
+//!   // define topology
+//! # let mut g = sprs::CsMat::empty(sprs::CSR, 9);
+//! # g.insert(0, 1, 1);
+//! # g.insert(0, 3, 1);
+//! # g.insert(1, 0, 1);
+//! # g.insert(1, 2, 1);
+//! # g.insert(1, 4, 1);
+//! # g.insert(2, 1, 1);
+//! # g.insert(2, 5, 1);
+//! # g.insert(3, 0, 1);
+//! # g.insert(3, 4, 1);
+//! # g.insert(3, 6, 1);
+//! # g.insert(4, 1, 1);
+//! # g.insert(4, 3, 1);
+//! # g.insert(4, 5, 1);
+//! # g.insert(4, 7, 1);
+//! # g.insert(5, 2, 1);
+//! # g.insert(5, 4, 1);
+//! # g.insert(5, 8, 1);
+//! # g.insert(6, 3, 1);
+//! # g.insert(6, 7, 1);
+//! # g.insert(7, 4, 1);
+//! # g.insert(7, 6, 1);
+//! # g.insert(7, 8, 1);
+//! # g.insert(8, 5, 1);
+//! # g.insert(8, 7, 1);
+//! # g
+//! };
+//!
+//! let mut partition = [0; 9];
+//!
+//! // generate a partition of 4 parts
+//! coupe::Rcb { iter_count: 2, ..Default::default() }
+//!     .partition(&mut partition, (coordinates, weights))?;
+//! # Ok(())
+//! # }
+//! ```
+//!
+//! ## Geometric Partitioning
 //!
 //! - Space filling curves:
 //!   + [Z-curve][ZCurve]
 //!   + [Hilbert curve][HilbertCurve]
-//! - [Recursive Coordinate Bisection][Rcb]
-//! - [Recursive Inertial Bisection][Rib]
-//! - [Multi jagged][MultiJagged]
-//! - Number partitioning:
+//! - Recursive bisections:
+//!   + [Recursive Coordinate Bisection][Rcb]
+//!   + [Recursive Inertial Bisection][Rib]
+//!   + [Multi jagged][MultiJagged]
+//! - Local optimisation:
+//!   + [K-means][KMeans]
+//!
+//! ## Number Partitioning
+//! - Direct:
 //!   + [Greedy][Greedy]
 //!   + [Karmarkar-Karp][KarmarkarKarp] and its [complete][CompleteKarmarkarKarp] version
-//!
-//! ## Partition improving algorithms
-//!
-//! - [K-means][KMeans]
-//! - Number partitioning:
+//! - Local optimisation:
 //!   + [VN-Best][VnBest]
 //!   + [VN-First][VnFirst]
+//!
+//! ## Topological Partitioning
+//!
 //! - [Fiduccia-Mattheyses][FiducciaMattheyses]
 //! - [Kernighan-Lin][KernighanLin]
 
@@ -45,8 +113,7 @@ pub mod topology;
 mod work_share;
 
 pub use crate::algorithms::*;
-pub use crate::geometry::BoundingBox;
-pub use crate::geometry::{Point2D, Point3D, PointND};
+pub use crate::geometry::{BoundingBox, Point2D, Point3D, PointND};
 pub use crate::nextafter::nextafter;
 pub use crate::real::Real;