diff --git a/src/hole_filling.cpp b/src/hole_filling.cpp
index df641dd..2b25405 100644
--- a/src/hole_filling.cpp
+++ b/src/hole_filling.cpp
@@ -179,15 +179,25 @@ pair<pair<Eigen::MatrixXd &, Eigen::VectorXd &>, vector<MyMesh::Point> &> Hole_F
     B << Eigen::VectorXd::Zero(n), Eigen::VectorXd::Ones(n), -Eigen::VectorXd::Ones(n), Eigen::VectorXd::Zero(d) ;
 
     // Fill Phi matrix
-    // TODO
+	//TODO
+	for (int i = 0; i < 3*n; i++) {
+		for (int j = 0; j <= i; j++) {
+			Phi(i, j) = myphi((pts_list[i] - pts_list[j]).norm());
+			Phi(j, i) = Phi(i, j);
+		}
+	}
 
     // Fill P matrix
-    //TODO
+    for (int i = 0; i < 3*n; i++) {
+		for (int j = 0; j < d; j++) {
+			P(i, j) = myp(j, pts_list[i]);
+		}
+	}
 
     // Set final A matrix
     /* A = Phi | P
      *      P' | 0    */
-
+	A << Phi, P, P.transpose(), Eigen::MatrixXd::Zero(d, d);
     // TODO
 
     cout << "size of pts_list : " << nn << endl ;
@@ -243,7 +253,7 @@ void Hole_Filling::colorize_prop()
         if(_mesh.property(_vprop, *v_it) == true)
             _mesh.set_color(*v_it, MyMesh::Color(255, 0, 0)) ;
         else
-           _mesh.set_color(*v_it, MyMesh::Color(200, 200, 200)) ;
+			_mesh.set_color(*v_it, MyMesh::Color(200, 200, 200)) ;
     }
 }
 
@@ -278,7 +288,7 @@ Rect3 Hole_Filling::estimate_BB(const vector<MyMesh::VertexHandle> &vlist)
     return domain ;
 }
 
-void Hole_Filling::poly_n_out(const Implicit_RBF &implicit, Rect3 domain, string filename)
+Mesh Hole_Filling::poly_n_out(const Implicit_RBF &implicit, Rect3 domain, string filename)
 {
     auto implicitEq = [&implicit](Vec3 const& pos)
     {
@@ -292,10 +302,56 @@ void Hole_Filling::poly_n_out(const Implicit_RBF &implicit, Rect3 domain, string
     cout << "sized" << domain.size << endl ;
     cout << "cubesize "<< cubeSize << endl ;
 
-    auto mesh = MarchCube(implicitEq, domain, cubeSize);
-    WriteObjFile(mesh, filename);
+    return MarchCube(implicitEq, domain, cubeSize);
+    // WriteObjFile(mesh, filename);
 }
 
 
-void fillHolesImplicit(MyMesh &mesh) {
+MyMesh fillHoleImplicit(MyMesh &mesh, Hole_Filling &hf,
+						std::vector<HalfedgeHandle> &hole) {
+	std::vector<VertexHandle> verts;
+	for (HalfedgeHandle hh : hole) {
+		verts.push_back(mesh.to_vertex_handle(hh));
+	}
+	auto [system, pts_list] = hf.compute_approx_mat(verts);
+	auto [alpha, beta] = hf.solve_approx(system, pts_list.size(), 10);
+	Implicit_RBF rbf(alpha, beta, pts_list);
+
+	// qDebug() << "";
+	// for (const Point &p : pts_list) {
+	// 	qDebug() << rbf.val(p);
+	// }
+
+	auto bb = hf.estimate_BB(verts) ;
+	const QString path = "out.obj";
+	Mesh filling = 	hf.poly_n_out(rbf, bb, path.toStdString());
+	// MyMesh out_mesh;
+	// OpenMesh::IO::Options options;
+	// options.set(OpenMesh::IO::Options::VertexNormal);
+	// if (!OpenMesh::IO::read_mesh(mesh, path.toUtf8().constData(), options)) {
+	// 	qWarning() << "Failed to read" << path;
+	// 	throw runtime_error("Failed to read marching cube output mesh");
+	// }
+	MyMesh ret;
+	for (const Vec3 &v : filling.vertices) {
+		VertexHandle vh = ret.new_vertex({v.x, v.y, v.z});
+		ret.set_color(vh, ret.default_color);
+	}
+	for (const Triangle &t : filling.triangles) {
+		ret.add_face(ret.vertex_handle(t[0]),
+					 ret.vertex_handle(t[1]),
+					 ret.vertex_handle(t[2]));
+	}
+	return ret;
+}
+
+
+std::vector<MyMesh> fillHolesImplicit(MyMesh &mesh) {
+	Hole_Filling hf(mesh);
+	mesh.holes = findHoles(mesh);
+	std::vector<MyMesh> fillings;
+	for (auto hole : mesh.holes) {
+		fillings.push_back(fillHoleImplicit(mesh, hf, hole));
+	}
+	return fillings;
 }
diff --git a/src/hole_filling.h b/src/hole_filling.h
index 8e47367..5dc76f0 100644
--- a/src/hole_filling.h
+++ b/src/hole_filling.h
@@ -14,7 +14,7 @@
 
 void fillHoleDumb(MyMesh &mesh, std::vector<HalfedgeHandle> &hole);
 void fillHolesDumb(MyMesh &mesh);
-void fillHolesImplicit(MyMesh &mesh);
+std::vector<MyMesh> fillHolesImplicit(MyMesh &mesh);
 
 using namespace std ;
 using namespace MeshReconstruction;
@@ -113,7 +113,7 @@ public:
     void colorize_prop() ;
     void colorize_verts(const vector<MyMesh::VertexHandle> &vlist) ;
     Rect3 estimate_BB(const vector<MyMesh::VertexHandle> &vlist) ;
-    void poly_n_out (const Implicit_RBF & implicit, Rect3 domain, std::string filename) ;
+    Mesh poly_n_out (const Implicit_RBF & implicit, Rect3 domain, std::string filename) ;
 };
 
 // Other ....
diff --git a/src/main_window.cpp b/src/main_window.cpp
index 47bf221..e9faac3 100644
--- a/src/main_window.cpp
+++ b/src/main_window.cpp
@@ -60,7 +60,8 @@ MainWindow::MainWindow(QWidget *parent)
 	connect(fill_holes_dumb, &QPushButton::clicked,
 			this, &MainWindow::fillHolesDumbClicked);
 	hole_vbox->addWidget(fill_holes_dumb);
-	QPushButton *fill_holes_implicit = new QPushButton("Remplir bêtement");
+	QPushButton *fill_holes_implicit =
+		new QPushButton("Remplir par une surface implicite");
 	connect(fill_holes_implicit, &QPushButton::clicked,
 			this, &MainWindow::fillHolesImplicitClicked);
 	hole_vbox->addWidget(fill_holes_implicit);
diff --git a/src/mesh_processor.cpp b/src/mesh_processor.cpp
index cec4ad4..b8bead2 100644
--- a/src/mesh_processor.cpp
+++ b/src/mesh_processor.cpp
@@ -60,7 +60,10 @@ void MeshProcessor::fillHolesDumb() {
 
 
 void MeshProcessor::fillHolesImplicit() {
-	::fillHolesImplicit(mesh);
+	std::vector<MyMesh> fillings = ::fillHolesImplicit(mesh);
+	for (MyMesh &filling : fillings) {
+		mesh_viewer.addMesh(filling);
+	}
 	updateView();
 }