diff --git a/inc/TRestDetectorReadoutPlane.h b/inc/TRestDetectorReadoutPlane.h
index bc5df878..c3a9e8d8 100644
--- a/inc/TRestDetectorReadoutPlane.h
+++ b/inc/TRestDetectorReadoutPlane.h
@@ -81,6 +81,8 @@ class TRestDetectorReadoutPlane {
 
     void SetRotation(Double_t radians);
 
+    void SetAxisX(const TVector3& axis);
+
     // Getters
     /// Returns an integer with the plane id number.
     inline Int_t GetID() const { return fId; }
@@ -154,6 +156,11 @@ class TRestDetectorReadoutPlane {
 
     Int_t GetModuleIDFromPosition(Double_t x, Double_t y, Double_t z);
 
+    TVector2 GetPositionInPlane(const TVector3& point) const;
+    Double_t GetDistanceToPlane(const TVector3& point) const;
+
+    TVector3 GetPositionInWorld(const TVector2& point, Double_t height = 0) const;
+
     void Draw();
 
     void Print(Int_t DetailLevel = 0);
diff --git a/src/TRestDetectorReadoutPlane.cxx b/src/TRestDetectorReadoutPlane.cxx
index e86236f2..9f291022 100644
--- a/src/TRestDetectorReadoutPlane.cxx
+++ b/src/TRestDetectorReadoutPlane.cxx
@@ -449,25 +449,25 @@ void TRestDetectorReadoutPlane::GetBoundaries(double& xmin, double& xmax, double
 }
 
 void TRestDetectorReadoutPlane::UpdateAxes() {  // idempotent
-    const TVector3 originalNormal = {0, 0, 1};
+    const TVector3 zUnit = {0, 0, 1};
     fAxisX = {1, 0, 0};
     fAxisY = {0, 1, 0};
 
     constexpr double tolerance = 1E-6;
 
-    // Check if fNormal is different from the original normal
-    if ((fNormal - originalNormal).Mag2() < tolerance) {
+    // Check if fNormal is different from (0,0,1)
+    if ((fNormal - zUnit).Mag2() < tolerance) {
         // do nothing
-    } else if ((fNormal + originalNormal).Mag2() < tolerance) {
-        // normal vector is opposite to the original normal (0,0,-1), we must also flip the axes
+    } else if ((fNormal + zUnit).Mag2() < tolerance) {
+        // normal vector is opposite to (0,0,1), we must also flip the axes
         fAxisX = {0, -1, 0};
         fAxisY = {-1, 0, 0};
     } else {
         // Calculate the rotation axis by taking the cross product between the original normal and fNormal
-        TVector3 rotationAxis = originalNormal.Cross(fNormal);
+        TVector3 rotationAxis = zUnit.Cross(fNormal);
 
         // Calculate the rotation angle using the dot product between the original normal and fNormal
-        double rotationAngle = acos(originalNormal.Dot(fNormal) / (originalNormal.Mag() * fNormal.Mag()));
+        double rotationAngle = acos(zUnit.Dot(fNormal) / (zUnit.Mag() * fNormal.Mag()));
 
         // Rotate the axes around the rotation axis by the rotation angle
         fAxisX.Rotate(rotationAngle, rotationAxis);
@@ -504,6 +504,36 @@ void TRestDetectorReadoutPlane::UpdateAxes() {  // idempotent
 }
 
 void TRestDetectorReadoutPlane::SetRotation(Double_t radians) {
-    fRotation = radians;
+    // sets fRotation modulo 2pi
+    fRotation = TVector2::Phi_0_2pi(radians);
     UpdateAxes();
 }
+
+TVector2 TRestDetectorReadoutPlane::GetPositionInPlane(const TVector3& point) const {
+    // Given a point in space, returns the position of the point in the plane using the plane's axes
+    // The position is returned in the plane's local coordinates (in mm)
+    return {fAxisX.Dot(point - fPosition),
+            fAxisY.Dot(point - fPosition)};  // dot product between vectors is the projection
+}
+
+TVector3 TRestDetectorReadoutPlane::GetPositionInWorld(const TVector2& point, Double_t height) const {
+    return fPosition + point.X() * fAxisX + point.Y() * fAxisY + height * fNormal;
+}
+
+Double_t TRestDetectorReadoutPlane::GetDistanceToPlane(const TVector3& point) const {
+    return (point - fPosition).Dot(fNormal);
+}
+
+void TRestDetectorReadoutPlane::SetAxisX(const TVector3& axis) {
+    const TVector3 axisInPlane = (axis - axis.Dot(fNormal) * fNormal).Unit();
+    if (axisInPlane.Mag2() < 1E-6) {
+        RESTError << "TRestDetectorReadoutPlane::SetAxisX() : "
+                  << "The X-axis vector must not be parallel to the normal vector." << RESTendl;
+        exit(1);
+    }
+
+    // compute the angle between the new axis and the old axis
+    const Double_t angle = fAxisX.Angle(axisInPlane);
+
+    SetRotation(fRotation - angle);
+}
diff --git a/test/src/TRestDetectorReadout.cxx b/test/src/TRestDetectorReadout.cxx
index add1536f..9bc23846 100644
--- a/test/src/TRestDetectorReadout.cxx
+++ b/test/src/TRestDetectorReadout.cxx
@@ -54,3 +54,43 @@ TEST(TRestDetectorReadout, Axes) {
         EXPECT_TRUE(AreEqual(plane.GetAxisY(), {0, 0.99995, -0.0099995}));
     }
 }
+
+TEST(TRestDetectorReadout, SetAxisX) {
+    TRestDetectorReadoutPlane plane;
+    plane.SetNormal({0, 0.5, 1});
+    plane.SetPosition({10.0, 5.0, 50.0});
+    plane.SetRotation(TMath::DegToRad() * 32.0);
+    plane.SetHeight(10.0);
+    plane.PrintMetadata();
+    // default values
+
+    // axis will be projected into the plane
+    const TVector3 newXAxis = {1.0, -2.0, 5.0};
+
+    plane.SetAxisX(newXAxis);
+
+    const TVector3 axisX = plane.GetAxisX();
+    const TVector3 newXAxisProjected =
+        (newXAxis - plane.GetNormal() * newXAxis.Dot(plane.GetNormal())).Unit();
+    cout << "axisX: " << axisX.X() << ", " << axisX.Y() << ", " << axisX.Z() << endl;
+    cout << "axisXProjected: " << newXAxisProjected.X() << ", " << newXAxisProjected.Y() << ", "
+         << newXAxisProjected.Z() << endl;
+    EXPECT_TRUE(AreEqual(plane.GetAxisX(), newXAxisProjected));
+}
+
+TEST(TRestDetectorReadout, Module) {
+    TRestDetectorReadoutPlane plane;
+    plane.SetNormal({0, 0, 1});
+    plane.SetPosition({10.0, 5.0, 50.0});
+    plane.SetRotation(TMath::DegToRad() * 90.0);
+    plane.SetHeight(10.0);
+
+    plane.PrintMetadata();
+
+    const TVector3 worldPoint = {0, 0, 100.0};
+    const TVector2 local = plane.GetPositionInPlane(worldPoint);
+    cout << "local: " << local.X() << ", " << local.Y() << endl;
+
+    const auto distance = plane.GetDistanceToPlane(worldPoint);
+    cout << "distance: " << distance << endl;
+}