diff --git a/applications/utilities/mesh/generation/extrude/extrudeMesh/extrudeMeshDict b/applications/utilities/mesh/generation/extrude/extrudeMesh/extrudeMeshDict
index 0728864488..d3018d209d 100644
--- a/applications/utilities/mesh/generation/extrude/extrudeMesh/extrudeMeshDict
+++ b/applications/utilities/mesh/generation/extrude/extrudeMesh/extrudeMeshDict
@@ -63,6 +63,10 @@ extrudeModel        wedge;
 //- Extrudes into sphere with grading according to pressure (atmospherics)
 //extrudeModel        sigmaRadial;
 
+//- Extrudes by interpolating along path inbetween two (topologically identical)
+//  surfaces (e.g. one is an offsetted version of the other)
+//extrudeModel        offsetSurface;
+
 nLayers             10;
 
 expansionRatio      1.0;
@@ -105,6 +109,16 @@ sigmaRadialCoeffs
     pStrat          1;
 }
 
+offsetSurfaceCoeffs
+{
+    // Surface that mesh has been meshed to
+    baseSurface "$FOAM_CASE/constant/triSurface/DTC-scaled-inflated.obj";
+
+    // Surface to fill in to
+    offsetSurface "$FOAM_CASE/constant/triSurface/DTC-scaled.obj";
+}
+
+
 // Do front and back need to be merged? Usually only makes sense for 360
 // degree wedges.
 mergeFaces false;
diff --git a/src/mesh/extrudeModel/offsetSurface/offsetSurface.C b/src/mesh/extrudeModel/offsetSurface/offsetSurface.C
new file mode 100644
index 0000000000..1b2872279f
--- /dev/null
+++ b/src/mesh/extrudeModel/offsetSurface/offsetSurface.C
@@ -0,0 +1,165 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2014 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "offsetSurface.H"
+#include "addToRunTimeSelectionTable.H"
+#include "triSurface.H"
+#include "triSurfaceSearch.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace extrudeModels
+{
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+defineTypeNameAndDebug(offsetSurface, 0);
+
+addToRunTimeSelectionTable(extrudeModel, offsetSurface, dictionary);
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+offsetSurface::offsetSurface(const dictionary& dict)
+:
+    extrudeModel(typeName, dict),
+    project_(coeffDict_.lookupOrDefault("project", false))
+{
+    // Read surface
+    fileName baseName(coeffDict_.lookup("baseSurface"));
+    baseName.expand();
+    baseSurfPtr_.reset(new triSurface(baseName));
+
+    // Construct search engine
+    baseSearchPtr_.reset(new triSurfaceSearch(baseSurfPtr_()));
+
+    // Read offsetted surface
+    fileName offsetName(coeffDict_.lookup("offsetSurface"));
+    offsetName.expand();
+    offsetSurfPtr_.reset(new triSurface(offsetName));
+
+    // Construct search engine
+    offsetSearchPtr_.reset(new triSurfaceSearch(offsetSurfPtr_()));
+
+
+    const triSurface& b = baseSurfPtr_();
+    const triSurface& o = offsetSurfPtr_();
+
+    if
+    (
+        b.size() != o.size()
+     || b.nPoints() != o.nPoints()
+     || b.nEdges() != o.nEdges()
+    )
+    {
+        FatalIOErrorIn("offsetSurface::offsetSurface(const dictionary&)", dict)
+            << "offsetSurface " << offsetName
+            << " should have exactly the same topology as the baseSurface "
+            << baseName << exit(FatalIOError);
+    }
+}
+
+
+// * * * * * * * * * * * * * * * * Destructor  * * * * * * * * * * * * * * * //
+
+offsetSurface::~offsetSurface()
+{}
+
+
+// * * * * * * * * * * * * * * * * Operators * * * * * * * * * * * * * * * * //
+
+point offsetSurface::operator()
+(
+    const point& surfacePoint,
+    const vector& surfaceNormal,
+    const label layer
+) const
+{
+    if (layer == 0)
+    {
+        return surfacePoint;
+    }
+    else
+    {
+        pointField samples(1, surfacePoint);
+        scalarField nearestDistSqr(1, GREAT);
+        List<pointIndexHit> info;
+        baseSearchPtr_().findNearest(samples, nearestDistSqr, info);
+
+        label triI = info[0].index();
+
+
+        const triSurface& base = baseSurfPtr_();
+        const triPointRef baseTri(base[triI].tri(base.points()));
+
+        List<scalar> bary;
+        baseTri.barycentric(surfacePoint, bary);
+
+        const triSurface& offset = offsetSurfPtr_();
+        const triPointRef offsetTri(offset[triI].tri(offset.points()));
+
+        const point offsetPoint
+        (
+            bary[0]*offsetTri.a()
+           +bary[1]*offsetTri.b()
+           +bary[2]*offsetTri.c()
+        );
+
+        point interpolatedPoint
+        (
+            surfacePoint + sumThickness(layer)*(offsetPoint-surfacePoint)
+        );
+
+
+        //- Either return interpolatedPoint or re-project onto surface (since
+        //  snapping might not have do so exactly)
+
+        if (project_)
+        {
+            // Re-project onto surface
+            offsetSearchPtr_().findNearest
+            (
+                pointField(1, interpolatedPoint),
+                scalarField(1, GREAT),
+                info
+            );
+            return info[0].hitPoint();
+        }
+        else
+        {
+            return interpolatedPoint;
+        }
+    }
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace extrudeModels
+} // End namespace Foam
+
+// ************************************************************************* //
diff --git a/src/mesh/extrudeModel/offsetSurface/offsetSurface.H b/src/mesh/extrudeModel/offsetSurface/offsetSurface.H
new file mode 100644
index 0000000000..f5df55cfd8
--- /dev/null
+++ b/src/mesh/extrudeModel/offsetSurface/offsetSurface.H
@@ -0,0 +1,114 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2014 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+Class
+    Foam::extrudeModels::offsetSurface
+
+Description
+    Extrudes by interpolating points from one surface to the other. Surfaces
+    have to be topologically identical i.e. one has to be an offsetted version
+    of the other.
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef offsetSurface_H
+#define offsetSurface_H
+
+#include "point.H"
+#include "extrudeModel.H"
+#include "Switch.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+class triSurface;
+class triSurfaceSearch;
+
+
+namespace extrudeModels
+{
+
+/*---------------------------------------------------------------------------*\
+                    Class offsetSurface Declaration
+\*---------------------------------------------------------------------------*/
+
+class offsetSurface
+:
+    public extrudeModel
+{
+    // Private data
+
+        //- surface
+        autoPtr<triSurface> baseSurfPtr_;
+
+        //- search engine
+        autoPtr<triSurfaceSearch> baseSearchPtr_;
+
+        //- offsets
+        autoPtr<triSurface> offsetSurfPtr_;
+
+        //- search engine
+        autoPtr<triSurfaceSearch> offsetSearchPtr_;
+
+        // Whether to re-project onto offsetted surface
+        const Switch project_;
+
+public:
+
+    //- Runtime type information
+    TypeName("offsetSurface");
+
+    // Constructors
+
+        //- Construct from dictionary
+        offsetSurface(const dictionary& dict);
+
+
+    //- Destructor
+    virtual ~offsetSurface();
+
+
+    // Member Operators
+
+        //- Return point
+        point operator()
+        (
+            const point& surfacePoint,
+            const vector& surfaceNormal,
+            const label layer
+        ) const;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace extrudeModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //