diff --git a/CHANGELOG.md b/CHANGELOG.md
index c132f77..fd834be 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -18,6 +18,9 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 ### Added
 
+* Add mesh_map using barycentric coordinates.
+* Add tessagon for mesh_map example.
+
 ### Changed
 
 ### Removed
diff --git a/CMakeLists.txt b/CMakeLists.txt
index a25219b..4b878e2 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -171,4 +171,5 @@ add_nanobind_module(_isolines src/isolines.cpp)
 add_nanobind_module(_massmatrix src/massmatrix.cpp)
 add_nanobind_module(_meshing src/meshing.cpp)
 add_nanobind_module(_parametrisation src/parametrisation.cpp)
-add_nanobind_module(_planarize src/planarize.cpp)
\ No newline at end of file
+add_nanobind_module(_planarize src/planarize.cpp)
+add_nanobind_module(_mapping src/mapping.cpp)
diff --git a/data/igloo.obj b/data/igloo.obj
new file mode 100644
index 0000000..7b46e32
--- /dev/null
+++ b/data/igloo.obj
@@ -0,0 +1,8359 @@
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diff --git a/docs/_images/example_mapping.png b/docs/_images/example_mapping.png
new file mode 100644
index 0000000..021f22a
Binary files /dev/null and b/docs/_images/example_mapping.png differ
diff --git a/docs/_images/example_mapping_boundaries.png b/docs/_images/example_mapping_boundaries.png
new file mode 100644
index 0000000..61f9b2f
Binary files /dev/null and b/docs/_images/example_mapping_boundaries.png differ
diff --git a/docs/_images/example_mapping_patterns.png b/docs/_images/example_mapping_patterns.png
new file mode 100644
index 0000000..1f0e303
Binary files /dev/null and b/docs/_images/example_mapping_patterns.png differ
diff --git a/docs/api/compas_libigl.rst b/docs/api/compas_libigl.rst
index 8bf3953..a11dbe1 100644
--- a/docs/api/compas_libigl.rst
+++ b/docs/api/compas_libigl.rst
@@ -25,8 +25,8 @@ Functions
     trimesh_isolines
     groupsort_isolines
     trimesh_massmatrix
-    trimesh_harmonic
-    trimesh_lscm
+    trimesh_harmonic_mapping
+    trimesh_lsc_mapping
     quadmesh_planarize
     trimesh_remesh_along_isoline
     trimesh_remesh_along_isolines
diff --git a/docs/examples/example_mapping.py b/docs/examples/example_mapping.py
new file mode 100644
index 0000000..e7f2137
--- /dev/null
+++ b/docs/examples/example_mapping.py
@@ -0,0 +1,70 @@
+from compas.colors import Color
+from compas.datastructures import Mesh
+from compas_viewer import Viewer
+from compas_viewer.config import Config
+from tessagon.adaptors.list_adaptor import ListAdaptor
+from tessagon.types.hex_tessagon import HexTessagon
+
+import compas_libigl as igl
+
+# ==============================================================================
+# Input geometry: 3D Mesh
+# ==============================================================================
+
+mesh = Mesh.from_obj("data/minimal_surface.obj")
+for key, attr in mesh.vertices(True):
+    y = attr["y"]
+    attr["y"] = -attr["z"]
+    attr["z"] = y
+mesh.translate([2, 2, 0.5])
+
+v, f = mesh.to_vertices_and_faces()
+
+
+# ==============================================================================
+# Input geometry: 2D Pattern creation using Tessagon library, can be other mesh.
+# ==============================================================================
+
+options = {
+    "function": lambda u, v: [u, v, 0],
+    "u_range": [-0.255, 1.33],
+    "v_range": [-0.34, 1.33],
+    "u_num": 16,
+    "v_num": 10,
+    "u_cyclic": False,
+    "v_cyclic": False,
+    "adaptor_class": ListAdaptor,
+}
+tessagon = HexTessagon(**options)
+tessagon_mesh = tessagon.create_mesh()
+pv = tessagon_mesh["vert_list"]
+pf = tessagon_mesh["face_list"]
+
+# ==============================================================================
+# Mapping: 3D Mesh, 2D Pattern, UV
+# ==============================================================================
+
+mv, mf = igl.map_mesh((v, f), (pv, pf))
+mesh_mapped = Mesh.from_vertices_and_faces(mv, mf)
+
+# ==============================================================================
+# Viewer
+# ==============================================================================
+
+config = Config()
+config.camera.target = [2, 2, 0.25]
+config.camera.position = [5, 2, 1.5]
+
+viewer = Viewer(config=config)
+viewer.scene.add(mesh, name="mesh", show_faces=False, linecolor=Color.grey(), opacity=0.2)
+viewer.scene.add(Mesh.from_vertices_and_faces(pv, pf), name="pattern2d")
+viewer.scene.add(mesh_mapped, name="mesh_mapped", facecolor=Color.red())
+
+# To see where the pattern is mapped:
+uv = igl.trimesh_lsc_mapping((v, f))
+mesh_flattened = mesh.copy()
+for i in range(mesh.number_of_vertices()):
+    mesh_flattened.vertex_attributes(i, "xyz", [uv[i][0], uv[i][1], 0])
+
+viewer.scene.add(mesh_flattened, name="mesh_flattened")
+viewer.show()
diff --git a/docs/examples/example_mapping.rst b/docs/examples/example_mapping.rst
new file mode 100644
index 0000000..f350319
--- /dev/null
+++ b/docs/examples/example_mapping.rst
@@ -0,0 +1,24 @@
+********************************************************************************
+Mapping
+********************************************************************************
+
+.. figure:: /_images/example_mapping_patterns.png
+    :figclass: figure
+    :class: figure-img img-fluid
+
+.. literalinclude:: example_mapping_patterns.py
+    :language: python
+
+.. figure:: /_images/example_mapping.png
+    :figclass: figure
+    :class: figure-img img-fluid
+
+.. literalinclude:: example_mapping.py
+    :language: python
+
+.. figure:: /_images/example_mapping_boundaries.png
+    :figclass: figure
+    :class: figure-img img-fluid
+
+.. literalinclude:: example_mapping_boundaries.py
+    :language: python
diff --git a/docs/examples/example_mapping_boundaries.py b/docs/examples/example_mapping_boundaries.py
new file mode 100644
index 0000000..c925803
--- /dev/null
+++ b/docs/examples/example_mapping_boundaries.py
@@ -0,0 +1,126 @@
+from math import pi
+
+from compas.colors import Color
+from compas.datastructures import Mesh
+from compas.geometry import Polygon
+from compas_viewer import Viewer
+from compas_viewer.config import Config
+from tessagon.adaptors.list_adaptor import ListAdaptor
+from tessagon.types.hex_tessagon import HexTessagon
+
+import compas_libigl as igl
+
+# ==============================================================================
+# Input geometry: 3D Mesh
+# ==============================================================================
+
+mesh = Mesh.from_obj("data/minimal_surface.obj")
+for key, attr in mesh.vertices(True):
+    y = attr["y"]
+    attr["y"] = -attr["z"]
+    attr["z"] = y
+mesh.translate([2, 2, 0.5])
+
+v, f = mesh.to_vertices_and_faces()
+
+# ==============================================================================
+# Flattening
+# ==============================================================================
+
+# To see where the pattern is mapped:
+uv = igl.trimesh_lsc_mapping((v, f))
+mesh_flattened = mesh.copy()
+for i in range(mesh.number_of_vertices()):
+    mesh_flattened.vertex_attributes(i, "xyz", [uv[i][0], uv[i][1], 0])
+
+
+# ==============================================================================
+# Input geometry: 2D Pattern creation using Tessagon library, can be other mesh.
+# ==============================================================================
+
+options = {
+    "function": lambda u, v: [u, v, 0],
+    "u_range": [-0.255, 1.33],
+    "v_range": [-0.34, 1.33],
+    "u_num": 16,
+    "v_num": 10,
+    "u_cyclic": False,
+    "v_cyclic": False,
+    "adaptor_class": ListAdaptor,
+}
+tessagon = HexTessagon(**options)
+tessagon_mesh = tessagon.create_mesh()
+pv = tessagon_mesh["vert_list"]
+pf = tessagon_mesh["face_list"]
+
+# rotate the pattern
+rotated_mesh = Mesh.from_vertices_and_faces(pv, pf)
+rotated_mesh.rotate(0 * pi / 180, [0, 0, 1])
+
+pv, pf = rotated_mesh.to_vertices_and_faces()
+
+# ==============================================================================
+# Boundaries
+# ==============================================================================
+
+boundaries = igl.trimesh_boundaries(mesh_flattened.to_vertices_and_faces())
+
+polygons = []
+for vertices in boundaries:
+    vertices = list(vertices)
+    vertices.pop()
+    vertices.append(vertices[0])
+    points = mesh_flattened.vertices_attributes("xyz", keys=vertices)
+    polygons.append(Polygon(points))
+
+# ==============================================================================
+# 2D Boolean Intersection using Shapely
+# ==============================================================================
+
+polygons_cut = []
+for face in pf:
+    points = []
+    for vertex in face:
+        points.append(pv[vertex])
+    polygon_cut = Polygon(points)
+    if len(points) > 2:
+        polygons_cut.append(polygon_cut)
+
+
+# Polygon.boolean_intersection
+intersections = []
+for polygon_cut in polygons_cut:
+    for polygon in polygons:
+        from compas.geometry import boolean_intersection_polygon_polygon
+
+        coords = boolean_intersection_polygon_polygon(polygon, polygon_cut)
+        if len(coords) > 0:
+            intersection = Polygon([[x, y, 0] for x, y in coords])  # type: ignore
+            intersections.append(intersection)
+
+mesh_cropped = Mesh.from_polygons(intersections)
+pv, pf = mesh_cropped.to_vertices_and_faces()
+
+
+# ==============================================================================
+# Place the pattern mesh at the bottom left corner of the meshpattern_uv
+# ==============================================================================
+
+mv, mf = igl.map_mesh((v, f), (pv, pf))
+mesh_mapped = Mesh.from_vertices_and_faces(mv, mf)
+
+# ==============================================================================
+# Viewer
+# ==============================================================================
+
+config = Config()
+config.camera.target = [2, 2, 0.25]
+config.camera.position = [5, 2, 1.5]
+
+viewer = Viewer(config=config)
+viewer.scene.add(mesh, name="mesh", show_faces=False, linecolor=Color.grey(), opacity=0.2)
+viewer.scene.add(mesh_mapped, name="mesh_mapped", facecolor=Color.red())
+viewer.scene.add(rotated_mesh, linecolor=Color.red(), linewidth=3)
+viewer.scene.add(intersections, linecolor=Color.red(), linewidth=3)
+viewer.scene.add(mesh_flattened, name="mesh_flattened0")
+viewer.show()
diff --git a/docs/examples/example_mapping_patterns.py b/docs/examples/example_mapping_patterns.py
new file mode 100644
index 0000000..eec5de4
--- /dev/null
+++ b/docs/examples/example_mapping_patterns.py
@@ -0,0 +1,117 @@
+from compas.colors import Color
+from compas.datastructures import Mesh
+from compas_viewer import Viewer
+from compas_viewer.config import Config
+from tessagon.adaptors.list_adaptor import ListAdaptor
+from tessagon.types.brick_tessagon import BrickTessagon
+from tessagon.types.dissected_hex_quad_tessagon import DissectedHexQuadTessagon
+from tessagon.types.dissected_hex_tri_tessagon import DissectedHexTriTessagon
+from tessagon.types.dissected_square_tessagon import DissectedSquareTessagon
+from tessagon.types.dissected_triangle_tessagon import DissectedTriangleTessagon
+from tessagon.types.dodeca_tessagon import DodecaTessagon
+from tessagon.types.floret_tessagon import FloretTessagon
+from tessagon.types.hex_big_tri_tessagon import HexBigTriTessagon
+
+from tessagon.types.hex_tessagon import HexTessagon
+from tessagon.types.hex_tri_tessagon import HexTriTessagon
+from tessagon.types.octo_tessagon import OctoTessagon
+from tessagon.types.pythagorean_tessagon import PythagoreanTessagon
+from tessagon.types.rhombus_tessagon import RhombusTessagon
+from tessagon.types.square_tessagon import SquareTessagon
+from tessagon.types.square_tri_tessagon import SquareTriTessagon
+from tessagon.types.tri_tessagon import TriTessagon
+from tessagon.types.weave_tessagon import WeaveTessagon
+from tessagon.types.zig_zag_tessagon import ZigZagTessagon
+
+import compas_libigl as igl
+
+TESSAGON_TYPES = {
+    1: ("Hex", HexTessagon),
+    2: ("Tri", TriTessagon),
+    3: ("Octo", OctoTessagon),
+    4: ("Square", SquareTessagon),
+    5: ("Rhombus", RhombusTessagon),
+    6: ("HexTri", HexTriTessagon),
+    7: ("DissectedSquare", DissectedSquareTessagon),
+    8: ("DissectedTriangle", DissectedTriangleTessagon),
+    9: ("DissectedHexQuad", DissectedHexQuadTessagon),
+    10: ("DissectedHexTri", DissectedHexTriTessagon),
+    11: ("Floret", FloretTessagon),
+    12: ("Pythagorean", PythagoreanTessagon),
+    13: ("Brick", BrickTessagon),
+    14: ("Weave", WeaveTessagon),
+    15: ("ZigZag", ZigZagTessagon),
+    16: ("HexBigTri", HexBigTriTessagon),
+    17: ("Dodeca", DodecaTessagon),
+    18: ("SquareTri", SquareTriTessagon),
+}
+
+# Pattern selection - change this value to use a different pattern
+PATTERN_TYPE = 15
+
+# ==============================================================================
+# Input geometry: 3D Mesh
+# ==============================================================================
+
+mesh = Mesh.from_obj("data/minimal_surface.obj")
+for key, attr in mesh.vertices(True):
+    y = attr["y"]
+    attr["y"] = -attr["z"]
+    attr["z"] = y
+mesh.translate([2, 2, 0.5])
+
+v, f = mesh.to_vertices_and_faces()
+
+
+# ==============================================================================
+# Input geometry: 2D Pattern creation using Tessagon library, can be other mesh.
+# ==============================================================================
+
+options = {
+    "function": lambda u, v: [u, v, 0],
+    "u_range": [-0.25, 1.25],
+    "v_range": [-0.25, 1.25],
+    "u_num": 20,
+    "v_num": 20,
+    "u_cyclic": False,
+    "v_cyclic": False,
+    "adaptor_class": ListAdaptor,
+}
+
+# Get pattern name and class based on selected pattern type
+pattern_name, pattern_class = TESSAGON_TYPES[PATTERN_TYPE]
+
+# Create the selected tessagon pattern
+tessagon = pattern_class(**options)
+tessagon_mesh = tessagon.create_mesh()
+pv = tessagon_mesh["vert_list"]
+pf = tessagon_mesh["face_list"]
+
+# ==============================================================================
+# Mapping: 3D Mesh, 2D Pattern, UV
+# ==============================================================================
+
+mv, mf = igl.map_mesh((v, f), (pv, pf))
+mesh_mapped = Mesh.from_vertices_and_faces(mv, mf)
+
+# ==============================================================================
+# Viewer
+# ==============================================================================
+
+config = Config()
+config.camera.target = [2, 2, 0.25]
+config.camera.position = [5, 2, 1.5]
+
+viewer = Viewer(config=config)
+viewer.scene.add(mesh, name="mesh", show_faces=False, linecolor=Color.grey(), opacity=0.2)
+viewer.scene.add(Mesh.from_vertices_and_faces(pv, pf), name="pattern2d")
+viewer.scene.add(mesh_mapped, name="mesh_mapped", facecolor=Color.red())
+
+# To see where the pattern is mapped:
+uv = igl.trimesh_lsc_mapping((v, f))
+mesh_flattened = mesh.copy()
+for i in range(mesh.number_of_vertices()):
+    mesh_flattened.vertex_attributes(i, "xyz", [uv[i][0], uv[i][1], 0])
+
+viewer.scene.add(mesh_flattened, name="mesh_flattened")
+viewer.show()
diff --git a/docs/examples/example_parametrisation.py b/docs/examples/example_parametrisation.py
index ab739d9..070eac8 100644
--- a/docs/examples/example_parametrisation.py
+++ b/docs/examples/example_parametrisation.py
@@ -25,14 +25,12 @@
 # Least-squares conformal map
 # ==============================================================================
 
-# lscm_uv = igl.trimesh_harmonic(mesh.to_vertices_and_faces())
-lscm_uv = igl.trimesh_lscm(mesh.to_vertices_and_faces())
+# lscm_uv = igl.trimesh_harmonic_mapping(mesh.to_vertices_and_faces())
+lscm_uv = igl.trimesh_lsc_mapping(mesh.to_vertices_and_faces())
 
 for index, key in enumerate(mesh.vertices()):
     mesh_lscm.vertex_attributes(key, "xy", lscm_uv[index])
 
-mesh_lscm.transform(Scale.from_factors([3, 3, 3]))
-
 # ==============================================================================
 # Visualization
 # ==============================================================================
diff --git a/requirements.txt b/requirements.txt
index b5c3a8b..c153a8c 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1 +1,2 @@
 compas >=2.0.0
+tessagon
\ No newline at end of file
diff --git a/src/compas.hpp b/src/compas.hpp
index 923db79..f24e7c6 100644
--- a/src/compas.hpp
+++ b/src/compas.hpp
@@ -11,6 +11,7 @@
 #include <cmath>
 #include <iostream>
 #include <limits>
+#include <iostream>
 
 // Nanobind includes
 #include <nanobind/nanobind.h>
diff --git a/src/compas_libigl/__init__.py b/src/compas_libigl/__init__.py
index 75d2a4d..93d58d3 100644
--- a/src/compas_libigl/__init__.py
+++ b/src/compas_libigl/__init__.py
@@ -7,9 +7,10 @@
 from .intersections import intersection_ray_mesh, intersection_rays_mesh
 from .isolines import trimesh_isolines, groupsort_isolines
 from .massmatrix import trimesh_massmatrix
-from .parametrisation import trimesh_harmonic, trimesh_lscm
+from .parametrisation import trimesh_harmonic_mapping, trimesh_lsc_mapping
 from .planarize import quadmesh_planarize
 from .meshing import trimesh_remesh_along_isoline, trimesh_remesh_along_isolines
+from .mapping import map_mesh
 
 
 __author__ = ["tom van mele", "petras vestartas"]
@@ -91,6 +92,7 @@ def get_armadillo():
     "compas_libigl.parametrisation",
     "compas_libigl.planarize",
     "compas_libigl.meshing",
+    "compas_libigl.mapping",
 ]
 
 __all__ = [
@@ -113,9 +115,10 @@ def get_armadillo():
     "trimesh_isolines",
     "groupsort_isolines",
     "trimesh_massmatrix",
-    "trimesh_harmonic",
-    "trimesh_lscm",
+    "trimesh_harmonic_mapping",
+    "trimesh_lsc_mapping",
     "quadmesh_planarize",
     "trimesh_remesh_along_isoline",
     "trimesh_remesh_along_isolines",
+    "map_mesh",
 ]
diff --git a/src/compas_libigl/mapping.py b/src/compas_libigl/mapping.py
new file mode 100644
index 0000000..5ccf005
--- /dev/null
+++ b/src/compas_libigl/mapping.py
@@ -0,0 +1,43 @@
+import numpy as np
+
+from compas_libigl import _mapping
+
+
+def map_mesh(target_mesh, pattern_mesh):
+    """
+    Map a 2D pattern mesh onto a 3D target.
+
+    Parameters
+    ----------
+    target_mesh : tuple
+        A tuple of (vertices, faces) representing the target mesh.
+        vertices : list[list[float]]
+            The vertices of the target mesh.
+        faces : list[list[int]]
+            The triangle faces of the target mesh.
+    pattern_mesh : tuple
+        A tuple of (vertices, faces) representing the pattern mesh.
+        vertices : list[list[float]]
+            The vertices of the pattern mesh.
+        faces : list[list[int]]
+            The polygonal faces of the pattern mesh.
+
+    Returns
+    -------
+    tuple
+        A tuple containing (vertices, faces) of the mapped pattern mesh.
+    """
+    # Unpack mesh tuples
+    v, f = target_mesh
+    pv, pf = pattern_mesh
+
+    # Convert to numpy arrays
+    v_numpy = np.array(v, dtype=np.float64)
+    f_numpy = np.array(f, dtype=np.int32)
+    pattern_v_numpy = np.array(pv, dtype=np.float64)
+
+    # Perform the mapping
+    pattern_f_numpy_cleaned = _mapping.map_mesh_with_automatic_parameterization(v_numpy, f_numpy, pattern_v_numpy, pf)
+
+    # Return the result as a tuple
+    return pattern_v_numpy, pattern_f_numpy_cleaned
diff --git a/src/compas_libigl/parametrisation.py b/src/compas_libigl/parametrisation.py
index 0a80744..5a6dbb1 100644
--- a/src/compas_libigl/parametrisation.py
+++ b/src/compas_libigl/parametrisation.py
@@ -5,7 +5,7 @@
 
 
 @plugin(category="trimesh")
-def trimesh_harmonic(M):
+def trimesh_harmonic_mapping(M):
     """Compute the harmonic parametrisation of a triangle mesh within a fixed circular boundary.
 
     Parameters
@@ -19,9 +19,6 @@ def trimesh_harmonic(M):
     list[list[float]]
         The u, v parameters per vertex.
 
-    Notes
-    -----
-    ``camelhead.off`` can be downloaded from https://raw.githubusercontent.com/libigl/libigl-tutorial-data/master/camelhead.off
     """
     V, F = M
     V = np.asarray(V, dtype=np.float64)
@@ -30,7 +27,7 @@ def trimesh_harmonic(M):
 
 
 @plugin(category="trimesh")
-def trimesh_lscm(M):
+def trimesh_lsc_mapping(M):
     """Compute the least squares conformal map of a triangle mesh.
 
     Parameters
@@ -44,9 +41,6 @@ def trimesh_lscm(M):
     list[list[float]]
         The u, v parameters per vertex.
 
-    Notes
-    -----
-    ``camelhead.off`` can be downloaded from https://raw.githubusercontent.com/libigl/libigl-tutorial-data/master/camelhead.off
     """
     V, F = M
     V = np.asarray(V, dtype=np.float64)
diff --git a/src/mapping.cpp b/src/mapping.cpp
new file mode 100644
index 0000000..be02ef6
--- /dev/null
+++ b/src/mapping.cpp
@@ -0,0 +1,226 @@
+#include "mapping.hpp"
+
+
+void get_triface(
+    const compas::RowMatrixXi& F_,
+    int faceID, 
+    const compas::RowMatrixXd& V, 
+    compas::RowMatrixXd& A, 
+    compas::RowMatrixXd& B, 
+    compas::RowMatrixXd& C)
+{
+    if(0 <= faceID && faceID < F_.rows())
+    {
+        A = compas::RowMatrixXd(1, 3);
+        B = compas::RowMatrixXd(1, 3);
+        C = compas::RowMatrixXd(1, 3);
+        if(V.cols() == 2)
+        {
+            A << V(F_(faceID, 0), 0), V(F_(faceID, 0), 1), 0;
+            B << V(F_(faceID, 1), 0), V(F_(faceID, 1), 1), 0;
+            C << V(F_(faceID, 2), 0), V(F_(faceID, 2), 1), 0;
+        }
+        else if(V.cols() == 3){
+            A << V(F_(faceID, 0), 0), V(F_(faceID, 0), 1), V(F_(faceID, 0), 2);
+            B << V(F_(faceID, 1), 0), V(F_(faceID, 1), 1), V(F_(faceID, 1), 2);
+            C << V(F_(faceID, 2), 0), V(F_(faceID, 2), 1), V(F_(faceID, 2), 2);
+        }
+    }
+
+    return;
+}
+
+bool map_point3d_simple(
+    const compas::RowMatrixXi& F_, 
+    const compas::RowMatrixXd& UV_, 
+    const Eigen::Vector3d& pt, 
+    Eigen::Vector3d& l, 
+    int& faceID)
+{
+    if(UV_.isZero())
+    {
+        return false;
+    }
+    else{
+        compas::RowMatrixXd P(1, 3), L(1, 3);
+        P << pt(0), pt(1), pt(2);
+        for(int id = 0; id < F_.rows(); id++)
+        {
+            compas::RowMatrixXd A, B, C;
+            get_triface(F_, id, UV_, A, B, C);
+            igl::barycentric_coordinates(P, A, B, C, L);
+            if(L.minCoeff() < -1e-5 || L.maxCoeff() > 1 + 1e-5){
+                continue;
+            }
+            else{
+                l = Eigen::Vector3d(L(0, 0), L(0, 1), L(0, 2));
+                faceID = id;
+                return true;
+            }
+        }
+    }
+
+    return false;
+}
+
+std::vector<std::vector<int>> map_mesh(
+    Eigen::Ref<const compas::RowMatrixXd> v, 
+    Eigen::Ref<const compas::RowMatrixXi> f, 
+    Eigen::Ref<const compas::RowMatrixXd> uv,
+    
+    Eigen::Ref<compas::RowMatrixXd> pattern_v, 
+    const std::vector<std::vector<int>>& pattern_f, 
+    Eigen::Ref<const compas::RowMatrixXd> pattern_uv)
+{
+
+    // Use regular MatrixXd to avoid type conflicts with AABB functions
+    Eigen::MatrixXd V_uv = uv;
+    Eigen::MatrixXi F_faces = f;
+    
+    igl::AABB<Eigen::MatrixXd, 2> tree;
+    tree.init(V_uv, F_faces);
+
+    std::vector<bool> inMesh;
+    Eigen::MatrixXd C;
+    Eigen::VectorXi I;
+    Eigen::VectorXd sqrD;
+    Eigen::MatrixXd pattern_uv_eigen = pattern_uv;
+    
+    tree.squared_distance(V_uv, F_faces, pattern_uv_eigen, sqrD, I, C);
+    
+    for(int id = 0; id < pattern_uv.rows(); id++)
+    {
+        if(std::fabs(sqrD[id]) < 1e-5) // Tolerance
+        {
+            compas::RowMatrixXd A, B, C;
+            Eigen::MatrixXd P(1, 3);
+            P << pattern_uv(id, 0), pattern_uv(id, 1), 0;
+            compas::RowMatrixXd UV_A, UV_B, UV_C;
+            get_triface(f, I(id), uv, UV_A, UV_B, UV_C);
+            Eigen::MatrixXd L;
+            igl::barycentric_coordinates(P, UV_A, UV_B, UV_C, L);
+
+            inMesh.push_back(true);
+            
+            // Get 3D points for interpolation
+            get_triface(f, I(id), v, A, B, C);
+            // Update pattern vertex position through barycentric interpolation
+            pattern_v.row(id) = A.row(0) * L(0, 0) + B.row(0) * L(0, 1) + C.row(0) * L(0, 2);
+        }
+        else{
+            inMesh.push_back(false);
+        }
+    }
+
+    // Filter out faces with vertices outside the target mesh
+
+    // Convert pattern faces to std::vector<std::vector<int>> format for processing
+    std::vector<std::vector<int>> pattern_polygonal_faces;
+    for (int i = 0; i < pattern_f.size(); i++) {
+        std::vector<int> face;
+        // Handle any number of vertices per face, assuming -1 indicates end of face in some formats
+        for (int j = 0; j < pattern_f[i].size(); j++) {
+            int vertex_idx = pattern_f[i][j];
+            // Some formats use -1 to mark end of face
+            if (vertex_idx == -1) break;
+            face.push_back(vertex_idx);
+        }
+        
+        // Only add faces with at least 3 vertices
+        if (face.size() >= 3) {
+            pattern_polygonal_faces.push_back(face);
+        }
+    }
+
+    for(std::vector<std::vector<int>>::iterator it = pattern_polygonal_faces.begin(); it != pattern_polygonal_faces.end();)
+    {
+        bool all_in_refMesh = true;
+        // iterate vertices
+        for(int jd = 0; jd < (*it).size(); jd++)
+        {
+            int vid = (*it)[jd];
+            if(inMesh[vid] == false){
+                all_in_refMesh = false;
+                break;
+            }
+        }
+        // After checking all vertices of the face, if all_in_refMesh is false (meaning at least one vertex is outside):
+        if(!all_in_refMesh){
+            it = pattern_polygonal_faces.erase(it);
+        }
+        else{
+            it++;
+        }
+    }
+
+
+    return pattern_polygonal_faces;
+}
+
+void rescale(Eigen::MatrixXd &V_uv)
+{
+    // Find min and max values for normalization
+    Eigen::Vector2d min_coeff = V_uv.colwise().minCoeff();
+    Eigen::Vector2d max_coeff = V_uv.colwise().maxCoeff();
+    
+    // Compute the size of the bounding box
+    Eigen::Vector2d size = max_coeff - min_coeff;
+    
+    // Translate UV coordinates so minimum is at the origin
+    V_uv.col(0) = V_uv.col(0).array() - min_coeff(0);
+    V_uv.col(1) = V_uv.col(1).array() - min_coeff(1);
+    
+    // Scale to fit in a 0-1 box while maintaining aspect ratio
+    double scale_factor = 1.0 / std::max(size(0), size(1));
+    V_uv *= scale_factor;
+}
+
+std::vector<std::vector<int>> map_mesh_with_automatic_parameterization(
+    Eigen::Ref<const compas::RowMatrixXd> target_v, 
+    Eigen::Ref<const compas::RowMatrixXi> target_f, 
+    Eigen::Ref<compas::RowMatrixXd> pattern_v, 
+    const std::vector<std::vector<int>>& pattern_f)
+{
+    // Compute target mesh UV parameterization using LSCM
+    Eigen::MatrixXd target_uv;
+    
+    // Find the open boundary
+    Eigen::VectorXi B;
+    igl::boundary_loop(target_f, B);
+
+    // Fix two points on the boundary
+    Eigen::VectorXi fixed(2, 1);
+    fixed(0) = B(0);
+    fixed(1) = B(B.size() / 2);
+
+    Eigen::MatrixXd fixed_uv(2, 2);
+    fixed_uv << 0, 0, 1, 0;
+
+    // LSCM parametrization
+    igl::lscm(target_v, target_f, fixed, fixed_uv, target_uv);
+    
+    rescale(target_uv);
+    
+
+    Eigen::MatrixXd pattern_uv;
+    pattern_uv.setZero();
+    pattern_uv = pattern_v.leftCols(2);
+    
+    // rescale(pattern_uv);
+    
+    // Now perform the mapping using the computed UV parameterizations
+    return map_mesh(target_v, target_f, target_uv, pattern_v, pattern_f, pattern_uv);
+}
+
+NB_MODULE(_mapping, m)
+{
+        
+    m.def(
+        "map_mesh_with_automatic_parameterization",
+        &map_mesh_with_automatic_parameterization,
+        "Map a 2D pattern mesh onto a 3D target mesh with automatic parameterization.",
+        "target_v"_a,
+        "target_f"_a,
+        "pattern_v"_a,
+        "pattern_f"_a);
+}
\ No newline at end of file
diff --git a/src/mapping.hpp b/src/mapping.hpp
new file mode 100644
index 0000000..49f9e90
--- /dev/null
+++ b/src/mapping.hpp
@@ -0,0 +1,86 @@
+#pragma once
+
+#include "compas.hpp"
+#include <igl/polygons_to_triangles.h>
+#include <igl/remove_duplicate_vertices.h>
+#include <igl/barycentric_coordinates.h>
+#include <igl/lscm.h>
+#include <igl/boundary_loop.h>
+#include <igl/AABB.h>
+#include <igl/edges.h>
+#include <algorithm>
+#include <Eigen/Core>
+
+/**
+ * Helper function to extract triangle vertices at a specific face index.
+ *
+ * @param F_ The face matrix of the triangle mesh.
+ * @param faceID Index of the face to extract.
+ * @param V The vertex matrix.
+ * @param A Output parameter for the first vertex of the triangle.
+ * @param B Output parameter for the second vertex of the triangle.
+ * @param C Output parameter for the third vertex of the triangle.
+ */
+void get_triface(
+    const compas::RowMatrixXi& F_, 
+    int faceID, 
+    const compas::RowMatrixXd& V, 
+    compas::RowMatrixXd& A, 
+    compas::RowMatrixXd& B, 
+    compas::RowMatrixXd& C);
+
+/**
+ * Map a point to a mesh using barycentric coordinates.
+ *
+ * @param F_ The face matrix of the triangle mesh.
+ * @param UV_ The UV coordinates matrix.
+ * @param pt The 3D point to map.
+ * @param barycentric Output parameter for the barycentric coordinates.
+ * @param faceID Output parameter for the face index.
+ * @return True if the point was successfully mapped, false otherwise.
+ */
+bool map_point3d_simple(
+    const compas::RowMatrixXi& F_, 
+    const compas::RowMatrixXd& UV_, 
+    const Eigen::Vector3d& pt, 
+    Eigen::Vector3d& barycentric, 
+    int& faceID);
+
+/**
+ * Map a 2D pattern mesh onto a 3D target mesh using AABB tree-based mapping.
+ * This function maps each vertex of the pattern mesh to the target mesh using
+ * barycentric interpolation based on the UV parameterization of the target mesh.
+ *
+ * @param v The vertex matrix of the target mesh.
+ * @param f The face matrix of the target mesh.
+ * @param uv The UV coordinates of the target mesh.
+ * @param pattern_v The vertex matrix of the pattern mesh to be mapped.
+ * @param pattern_f The face vector of vectors of int.
+ * @param pattern_uv The UV coordinates of the pattern mesh.
+ * @return Vector of vectors representing the polygonal faces of the mapped pattern mesh.
+ */
+std::vector<std::vector<int>> map_mesh(
+    Eigen::Ref<const compas::RowMatrixXd> v, 
+    Eigen::Ref<const compas::RowMatrixXi> f, 
+    Eigen::Ref<const compas::RowMatrixXd> uv,
+    Eigen::Ref<compas::RowMatrixXd> pattern_v, 
+    const std::vector<std::vector<int>>& pattern_f  , 
+    Eigen::Ref<const compas::RowMatrixXd> pattern_uv);
+
+
+/**
+ * Map a 2D pattern mesh onto a 3D target mesh with automatic parameterization, mesh is always mapped to 1x1 unit.
+ * This function automatically computes the UV parameterization for both meshes
+ * and then performs mapping, eliminating the need for separate parameterization steps.
+ * 
+ * @param target_v #V x 3 matrix of target mesh vertex coordinates
+ * @param target_f #F x 3 matrix of target mesh triangle indices
+ * @param pattern_v #V x 3 matrix of pattern mesh vertex coordinates
+ * @param pattern_f vector of vectors of int of pattern mesh triangle indices
+ * @return A vector of face indices representing polygons in the mapped mesh
+ */
+std::vector<std::vector<int>> map_mesh_with_automatic_parameterization(
+    Eigen::Ref<const compas::RowMatrixXd> target_v, 
+    Eigen::Ref<const compas::RowMatrixXi> target_f, 
+    Eigen::Ref<compas::RowMatrixXd> pattern_v, 
+    const std::vector<std::vector<int>>& pattern_f);
\ No newline at end of file
diff --git a/src/parametrisation.cpp b/src/parametrisation.cpp
index ecba649..f46a0b9 100644
--- a/src/parametrisation.cpp
+++ b/src/parametrisation.cpp
@@ -5,6 +5,24 @@
 #include <igl/map_vertices_to_circle.h>
 #include <Eigen/Core>
 
+void rescale(Eigen::MatrixXd &V_uv)
+{
+    // Find min and max values for normalization
+    Eigen::Vector2d min_coeff = V_uv.colwise().minCoeff();
+    Eigen::Vector2d max_coeff = V_uv.colwise().maxCoeff();
+    
+    // Compute the size of the bounding box
+    Eigen::Vector2d size = max_coeff - min_coeff;
+    
+    // Translate UV coordinates so minimum is at the origin
+    V_uv.col(0) = V_uv.col(0).array() - min_coeff(0);
+    V_uv.col(1) = V_uv.col(1).array() - min_coeff(1);
+    
+    // Scale to fit in a 0-1 box while maintaining aspect ratio
+    double scale_factor = 1.0 / std::max(size(0), size(1));
+    V_uv *= scale_factor;
+}
+
 Eigen::MatrixXd
 harmonic(
     Eigen::Ref<const compas::RowMatrixXd> V,
@@ -23,6 +41,8 @@ harmonic(
     // Harmonic parametrization for the internal vertices
     igl::harmonic(V, F, B, B_uv, 1, V_uv);
 
+    rescale(V_uv);
+
     return V_uv;
 }
 
@@ -47,6 +67,8 @@ lscm(
 
     // LSCM parametrization
     igl::lscm(V, F, fixed, fixed_uv, V_uv);
+    
+    rescale(V_uv);
 
     return V_uv;
 }
@@ -65,4 +87,5 @@ NB_MODULE(_parametrisation, m) {
         "Compute the least-squares conformal map of a triangle mesh.",
         "V"_a,
         "F"_a);
+
 }
\ No newline at end of file
diff --git a/src/parametrisation.hpp b/src/parametrisation.hpp
index 811868c..41443c5 100644
--- a/src/parametrisation.hpp
+++ b/src/parametrisation.hpp
@@ -3,6 +3,13 @@
 #include "compas.hpp"
 #include <Eigen/Core>
 
+/**
+ * Rescale UV coordinates to fit in a 0-1 box while maintaining aspect ratio.
+ * 
+ * @param V_uv #V x 2 matrix of UV coordinates
+ */
+void rescale(Eigen::MatrixXd &V_uv);
+
 /**
  * Compute the harmonic parametrization of a triangle mesh.
  *
diff --git a/tests/test_mapping.py b/tests/test_mapping.py
new file mode 100644
index 0000000..63760bb
--- /dev/null
+++ b/tests/test_mapping.py
@@ -0,0 +1,52 @@
+import compas
+import compas_libigl as igl
+from compas.datastructures import Mesh
+
+
+def test_map_mesh():
+    # Create target mesh (using a mesh we know exists)
+    mesh = Mesh.from_off(compas.get("tubemesh.off"))
+    mesh.quads_to_triangles()  # Ensure we have a triangle mesh
+    v, f = mesh.to_vertices_and_faces()
+
+    # Create simple pattern mesh manually (grid pattern)
+    # Use a smaller UV range to ensure pattern falls within target's parameterization
+    u_num, v_num = 5, 5
+    # Use a smaller central region of the UV space
+    u_range = [0.2, 0.8]  # Avoid edges of UV space
+    v_range = [0.2, 0.8]  # Avoid edges of UV space
+
+    # Generate grid vertices
+    pv = []
+    for j in range(v_num + 1):
+        v_param = v_range[0] + j * (v_range[1] - v_range[0]) / v_num
+        for i in range(u_num + 1):
+            u_param = u_range[0] + i * (u_range[1] - u_range[0]) / u_num
+            pv.append([u_param, v_param, 0])
+
+    # Create faces (triangulated quads)
+    pf = []
+    for j in range(v_num):
+        for i in range(u_num):
+            # Calculate vertex indices for this quad
+            v0 = j * (u_num + 1) + i
+            v1 = j * (u_num + 1) + i + 1
+            v2 = (j + 1) * (u_num + 1) + i + 1
+            v3 = (j + 1) * (u_num + 1) + i
+
+            # Split quad into two triangles
+            pf.append([v0, v1, v2])
+            pf.append([v0, v2, v3])
+
+    # Map pattern onto target mesh
+    mv, mf = igl.map_mesh((v, f), (pv, pf))
+    mesh_mapped = Mesh.from_vertices_and_faces(mv, mf)
+
+    # Verify the result is a valid mesh
+    assert mesh_mapped is not None
+    assert mesh_mapped.number_of_vertices() > 0
+    assert mesh_mapped.number_of_faces() > 0
+    assert isinstance(mesh_mapped, Mesh)
+
+    # Check that at least some faces were mapped
+    assert mesh_mapped.number_of_faces() > 0
diff --git a/tests/test_parametrisation.py b/tests/test_parametrisation.py
index 2d09990..e13d503 100644
--- a/tests/test_parametrisation.py
+++ b/tests/test_parametrisation.py
@@ -3,19 +3,19 @@
 from compas.datastructures import Mesh
 
 
-def test_trimesh_harmonic():
+def test_trimesh_harmonic_mapping():
     mesh = Mesh.from_off(compas.get("tubemesh.off"))
     mesh.quads_to_triangles()
     M = mesh.to_vertices_and_faces()
-    uv = igl.trimesh_harmonic(M)
+    uv = igl.trimesh_harmonic_mapping(M)
     assert len(uv) == mesh.number_of_vertices()
     assert len(uv[0]) == 2  # Each UV coordinate should be 2D
 
 
-def test_trimesh_lscm():
+def test_trimesh_lsc_mapping():
     mesh = Mesh.from_off(compas.get("tubemesh.off"))
     mesh.quads_to_triangles()
     M = mesh.to_vertices_and_faces()
-    uv = igl.trimesh_lscm(M)
+    uv = igl.trimesh_lsc_mapping(M)
     assert len(uv) == mesh.number_of_vertices()
     assert len(uv[0]) == 2  # Each UV coordinate should be 2D