Browse Source

Fix sign of tbn generator that caused normal map flipping in some situations (#2140)

Riccardo Balbo 1 year ago
parent
commit
b6735aff59

+ 1 - 1
jme3-core/src/main/java/com/jme3/util/mikktspace/MikktspaceTangentGenerator.java

@@ -279,7 +279,7 @@ public class MikktspaceTangentGenerator {
                 float tang[] = {pTSpace.os.x, pTSpace.os.y, pTSpace.os.z};
                 float bitang[] = {pTSpace.ot.x, pTSpace.ot.y, pTSpace.ot.z};
                 mikkTSpace.setTSpace(tang, bitang, pTSpace.magS, pTSpace.magT, pTSpace.orient, f, i);
-                mikkTSpace.setTSpaceBasic(tang, pTSpace.orient == true ? 1.0f : (-1.0f), f, i);
+                mikkTSpace.setTSpaceBasic(tang, pTSpace.orient == true ? -1.0f : 1.0f, f, i);
                 ++index;
             }
         }

+ 7 - 5
jme3-core/src/main/resources/Common/MatDefs/Light/Lighting.frag

@@ -92,6 +92,11 @@ uniform float m_AlphaDiscardThreshold;
     #endif
 #endif
 
+
+#ifndef NORMAL_TYPE
+  #define NORMAL_TYPE -1.0
+#endif
+
 void main(){
     vec2 newTexCoord;
      
@@ -141,11 +146,8 @@ void main(){
     // ***********************
     #if defined(NORMALMAP) && !defined(VERTEX_LIGHTING)
       vec4 normalHeight = texture2D(m_NormalMap, newTexCoord);
-      //Note the -2.0 and -1.0. We invert the green channel of the normal map, 
-      //as it's compliant with normal maps generated with blender.
-      //see http://hub.jmonkeyengine.org/forum/topic/parallax-mapping-fundamental-bug/#post-256898
-      //for more explanation.
-      vec3 normal = normalize((normalHeight.xyz * vec3(2.0,-2.0,2.0) - vec3(1.0,-1.0,1.0)));
+      // Note we invert directx style normal maps to opengl style
+      vec3 normal = normalize((normalHeight.xyz * vec3(2.0,NORMAL_TYPE * 2.0,2.0) - vec3(1.0,NORMAL_TYPE * 1.0,1.0)));
       #ifdef LATC
         normal.z = sqrt(1.0 - (normal.x * normal.x) - (normal.y * normal.y));
       #endif      

+ 5 - 0
jme3-core/src/main/resources/Common/MatDefs/Light/Lighting.j3md

@@ -67,6 +67,9 @@ MaterialDef Phong Lighting {
         // The glow color of the object
         Color GlowColor
 
+        //The type of normal map: -1.0 (DirectX = default), 1.0 (OpenGl)
+        Float NormalType
+
         // Parameters for fresnel
         // X = bias
         // Y = scale
@@ -169,6 +172,7 @@ MaterialDef Phong Lighting {
             INSTANCING : UseInstancing
             NUM_MORPH_TARGETS: NumberOfMorphTargets
             NUM_TARGETS_BUFFERS: NumberOfTargetsBuffers
+            NORMAL_TYPE: NormalType
 
             // fog - jayfella
             USE_FOG : UseFog
@@ -217,6 +221,7 @@ MaterialDef Phong Lighting {
             INSTANCING : UseInstancing
             NUM_MORPH_TARGETS: NumberOfMorphTargets
             NUM_TARGETS_BUFFERS: NumberOfTargetsBuffers
+            NORMAL_TYPE: NormalType
 
             // fog - jayfella
             USE_FOG : UseFog

+ 2 - 4
jme3-core/src/main/resources/Common/MatDefs/Light/PBRLighting.frag

@@ -181,10 +181,8 @@ void main(){
     // ***********************
     #if defined(NORMALMAP)
       vec4 normalHeight = texture2D(m_NormalMap, newTexCoord);
-      //Note the -2.0 and -1.0. We invert the green channel of the normal map, 
-      //as it's compliant with normal maps generated with blender.
-      //see http://hub.jmonkeyengine.org/forum/topic/parallax-mapping-fundamental-bug/#post-256898
-      //for more explanation.
+      // Note we invert directx style normal maps to opengl style
+
       #ifdef NORMALSCALE
         vec3 normal = normalize((normalHeight.xyz * vec3(2.0, NORMAL_TYPE * 2.0, 2.0) - vec3(1.0, NORMAL_TYPE * 1.0, 1.0)) * vec3(m_NormalScale, m_NormalScale, 1.0));
       #else

+ 5 - 5
jme3-core/src/main/resources/Common/MatDefs/Light/SPLighting.frag

@@ -88,6 +88,10 @@ uniform float m_Shininess;
     #endif
 #endif
 
+#ifndef NORMAL_TYPE
+  #define NORMAL_TYPE -1.0
+#endif
+
 void main(){
     #if !defined(VERTEX_LIGHTING)
         #if defined(NORMALMAP)
@@ -152,11 +156,7 @@ void main(){
     // ***********************
     #if defined(NORMALMAP) && !defined(VERTEX_LIGHTING)
       vec4 normalHeight = texture2D(m_NormalMap, newTexCoord);
-      //Note the -2.0 and -1.0. We invert the green channel of the normal map, 
-      //as it's compliant with normal maps generated with blender.
-      //see http://hub.jmonkeyengine.org/forum/topic/parallax-mapping-fundamental-bug/#post-256898
-      //for more explanation.
-      vec3 normal = normalize((normalHeight.xyz * vec3(2.0,-2.0,2.0) - vec3(1.0,-1.0,1.0)));
+      vec3 normal = normalize((normalHeight.xyz * vec3(2.0, NORMAL_TYPE * 2.0 ,2.0) - vec3(1.0, NORMAL_TYPE * 1.0,1.0)));
     #elif !defined(VERTEX_LIGHTING)
       vec3 normal = normalize(vNormal); 
 

+ 206 - 0
jme3-examples/src/main/java/jme3test/material/TestNormalMappingConsistency.java

@@ -0,0 +1,206 @@
+/*
+ * Copyright (c) 2009-2021 jMonkeyEngine
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ *
+ * * Redistributions of source code must retain the above copyright
+ *   notice, this list of conditions and the following disclaimer.
+ *
+ * * Redistributions in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ *
+ * * Neither the name of 'jMonkeyEngine' nor the names of its contributors
+ *   may be used to endorse or promote products derived from this software
+ *   without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+package jme3test.material;
+
+import com.jme3.app.SimpleApplication;
+import com.jme3.asset.TextureKey;
+import com.jme3.font.BitmapText;
+import com.jme3.light.AmbientLight;
+import com.jme3.light.DirectionalLight;
+import com.jme3.material.Material;
+import com.jme3.material.TechniqueDef.LightMode;
+import com.jme3.math.ColorRGBA;
+import com.jme3.math.Vector3f;
+import com.jme3.scene.Node;
+import com.jme3.scene.Spatial;
+import com.jme3.scene.plugins.gltf.GltfModelKey;
+import com.jme3.system.AppSettings;
+import com.jme3.util.mikktspace.MikktspaceTangentGenerator;
+
+/**
+ * This test cycles through a model exported in different formats and with different materials with tangents
+ * generated in different ways. The normal map should look correct in all cases. Refer to
+ * https://github.com/KhronosGroup/glTF-Sample-Models/tree/master/2.0/NormalTangentMirrorTest for details on
+ * the correct result and debugging.
+ */
+public class TestNormalMappingConsistency extends SimpleApplication {
+    Node probeNode;
+    DirectionalLight light;
+    BitmapText materialTxt;
+    BitmapText modelTxt;
+    boolean flipTextures = false;
+    float t = -1;
+    int modelType = 0;
+    int materialType = 0;
+    Spatial loadedSpatial;
+
+    final int maxModels = 4;
+    final int maxMaterials = 3;
+
+    public static void main(String[] args) {
+        AppSettings sett = new AppSettings(true);
+        sett.setWidth(1024);
+        sett.setHeight(768);
+        TestNormalMappingConsistency app = new TestNormalMappingConsistency();
+        app.setSettings(sett);
+        app.start();
+    }
+
+    @Override
+    public void simpleInitApp() {
+        setPauseOnLostFocus(false);
+        flyCam.setMoveSpeed(20);
+        viewPort.setBackgroundColor(new ColorRGBA().setAsSrgb(0.2f, 0.2f, 0.2f, 1.0f));
+        probeNode = (Node) assetManager.loadModel("Scenes/defaultProbe.j3o");
+        rootNode.attachChild(probeNode);
+
+        probeNode.addLight(new AmbientLight(ColorRGBA.Gray));
+        light = new DirectionalLight(new Vector3f(-1, -1, -1), ColorRGBA.White);
+        rootNode.addLight(light);
+
+        modelTxt = new BitmapText(guiFont);
+        modelTxt.setSize(guiFont.getCharSet().getRenderedSize());
+        modelTxt.setLocalTranslation(0, 700, 0);
+        guiNode.attachChild(modelTxt);
+
+        materialTxt = new BitmapText(guiFont);
+        materialTxt.setSize(guiFont.getCharSet().getRenderedSize());
+        materialTxt.setLocalTranslation(300, 700, 0);
+        guiNode.attachChild(materialTxt);
+    }
+
+    @Override
+    public void simpleUpdate(float tpf) {
+        if (t == -1 || t > 5) {
+            t = 0;
+            loadModel(new Vector3f(0, 0, 0), 3, modelType, materialType);
+            materialType++;
+            if (materialType >= maxMaterials) {
+                materialType = 0;
+                modelType++;
+                if (modelType >= maxModels) {
+                    modelType = 0;
+                }
+            }
+        }
+        t += tpf;
+
+    }
+
+    private void loadModel(Vector3f offset, float scale, int modelType, int materialType) {
+        if (loadedSpatial != null) {
+            loadedSpatial.removeFromParent();
+        }
+
+
+        if (modelType == 0) loadedSpatial = loadGltf();
+        else if (modelType == 1) loadedSpatial = loadGltfGen();
+        else if (modelType == 2) loadedSpatial = loadOgre();
+        else if (modelType == 3) loadedSpatial = loadOgreGen();
+
+        loadedSpatial.scale(scale);
+        loadedSpatial.move(offset);
+        if (materialType == 0) loadedSpatial.setMaterial(createPBRLightingMat());
+        else if (materialType == 1) loadedSpatial.setMaterial(createSPLightingMat());
+        else if (materialType == 2) loadedSpatial.setMaterial(createLightingMat());
+        probeNode.attachChild(loadedSpatial);
+    }
+
+    private Spatial loadGltf() {
+        GltfModelKey k = new GltfModelKey("jme3test/normalmapCompare/NormalTangentMirrorTest.gltf");
+        Spatial sp = assetManager.loadModel(k);
+        modelTxt.setText("GLTF");
+        return sp;
+    }
+
+    private Spatial loadGltfGen() {
+        GltfModelKey k = new GltfModelKey("jme3test/normalmapCompare/NormalTangentMirrorTest.gltf");
+        Spatial sp = assetManager.loadModel(k);
+        MikktspaceTangentGenerator.generate(loadedSpatial);
+        modelTxt.setText("GLTF  - regen tg");
+        return sp;
+    }
+
+    private Spatial loadOgre() {
+        GltfModelKey k = new GltfModelKey("jme3test/normalmapCompare/ogre/NormalTangentMirrorTest.scene");
+        Spatial sp = assetManager.loadModel(k);
+        modelTxt.setText("OGRE");
+        return sp;
+    }
+
+    private Spatial loadOgreGen() {
+        GltfModelKey k = new GltfModelKey("jme3test/normalmapCompare/ogre/NormalTangentMirrorTest.scene");
+        Spatial sp = assetManager.loadModel(k);
+        MikktspaceTangentGenerator.generate(loadedSpatial);
+        modelTxt.setText("OGRE  - regen tg");
+        return sp;
+    }
+
+    private Material createPBRLightingMat() {
+        renderManager.setPreferredLightMode(LightMode.SinglePassAndImageBased);
+        Material mat = new Material(assetManager, "Common/MatDefs/Light/PBRLighting.j3md");
+        mat.setTexture("BaseColorMap", assetManager.loadTexture(new TextureKey(
+                "jme3test/normalmapCompare/NormalTangentMirrorTest_BaseColor.png", flipTextures)));
+        mat.setTexture("NormalMap", assetManager.loadTexture(
+                new TextureKey("jme3test/normalmapCompare/NormalTangentTest_Normal.png", flipTextures)));
+        mat.setFloat("NormalType", 1);
+        materialTxt.setText("PBR Lighting");
+        return mat;
+    }
+
+    private Material createSPLightingMat() {
+        renderManager.setPreferredLightMode(LightMode.SinglePass);
+        Material mat = new Material(assetManager, "Common/MatDefs/Light/Lighting.j3md");
+        mat.setTexture("DiffuseMap", assetManager.loadTexture(new TextureKey(
+                "jme3test/normalmapCompare/NormalTangentMirrorTest_BaseColor.png", flipTextures)));
+        mat.setTexture("NormalMap", assetManager.loadTexture(
+                new TextureKey("jme3test/normalmapCompare/NormalTangentTest_Normal.png", flipTextures)));
+        mat.setFloat("NormalType", 1);
+        materialTxt.setText("SP Lighting");
+        return mat;
+    }
+
+    private Material createLightingMat() {
+        renderManager.setPreferredLightMode(LightMode.MultiPass);
+        Material mat = new Material(assetManager, "Common/MatDefs/Light/Lighting.j3md");
+        mat.setTexture("DiffuseMap", assetManager.loadTexture(new TextureKey(
+                "jme3test/normalmapCompare/NormalTangentMirrorTest_BaseColor.png", flipTextures)));
+        mat.setTexture("NormalMap", assetManager.loadTexture(
+                new TextureKey("jme3test/normalmapCompare/NormalTangentTest_Normal.png", flipTextures)));
+        materialTxt.setText("Lighting");
+        mat.setFloat("NormalType", 1);
+
+        return mat;
+    }
+
+}

File diff suppressed because it is too large
+ 119 - 0
jme3-examples/src/main/resources/jme3test/normalmapCompare/NormalTangentMirrorTest.gltf


BIN
jme3-examples/src/main/resources/jme3test/normalmapCompare/NormalTangentMirrorTest_BaseColor.png


BIN
jme3-examples/src/main/resources/jme3test/normalmapCompare/NormalTangentTest_Normal.png


BIN
jme3-examples/src/main/resources/jme3test/normalmapCompare/ogre/Image_0.png


BIN
jme3-examples/src/main/resources/jme3test/normalmapCompare/ogre/Image_1.png


BIN
jme3-examples/src/main/resources/jme3test/normalmapCompare/ogre/Image_2.png


+ 38 - 0
jme3-examples/src/main/resources/jme3test/normalmapCompare/ogre/Material.001.material

@@ -0,0 +1,38 @@
+// generated by blender2ogre 0.8.3 on 2023-11-08 13:20:42
+material Material.001 {
+    receive_shadows on
+    technique {
+        pass {
+            diffuse 0.8 0.8 0.8 1.0
+            specular 0.5 0.0 0 0 0
+
+            // additional maps - requires RTSS
+            rtshader_system {
+                lighting_stage metal_roughness texture Image_0.png
+                lighting_stage normal_map Image_1.png
+            }
+            alpha_to_coverage off
+            colour_write on
+            cull_hardware clockwise
+            depth_check on
+            depth_func less_equal
+            depth_write on
+            illumination_stage 
+            light_clip_planes off
+            light_scissor off
+            normalise_normals off
+            polygon_mode solid
+            scene_blend one zero
+            scene_blend_op add
+            shading gouraud
+            transparent_sorting on
+
+            // - base_color_texture
+            texture_unit {
+                texture Image_2.png
+                tex_address_mode wrap
+                colour_op modulate
+            }
+        }
+    }
+}

+ 24 - 0
jme3-examples/src/main/resources/jme3test/normalmapCompare/ogre/NormalTangentMirrorTest.scene

@@ -0,0 +1,24 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!-- exporter: blender2ogre 0.8.3 -->
+<!-- export_time: Wed, 08 Nov 2023 12:20:42 +0000 -->
+<!-- previous_export_time: Wed, 08 Nov 2023 12:19:54 +0000 -->
+<scene author="riccardo" formatVersion="1.1" >
+  <nodes >
+    <node name="NormalTangentTest_low" >
+      <position x="0.000000" y="0.000000" z="-0.000000" />
+      <rotation qw="1.000000" qx="0.000000" qy="0.000000" qz="-0.000000" />
+      <scale x="1.000000" y="1.000000" z="1.000000" />
+      <entity meshFile="NormalTangentTest_low.mesh" name="NormalTangentTest_low" >
+        <userData />
+      </entity>
+    </node>
+  </nodes>
+  <externals >
+    <item type="material" >
+      <file name="Material.001.material" />
+    </item>
+  </externals>
+  <environment >
+    <colourBackground b="0.050876" g="0.050876" r="0.050876" />
+  </environment>
+</scene>

+ 22260 - 0
jme3-examples/src/main/resources/jme3test/normalmapCompare/ogre/NormalTangentTest_low.mesh.xml

@@ -0,0 +1,22260 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<mesh>
+    <sharedgeometry vertexcount="2834">
+        <vertexbuffer colours_diffuse="False" normals="true" positions="true" tangent_dimensions="4" tangents="True" texture_coords="1">
+            <vertex>
+                <position x="-0.141213" y="0.150000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.523164" y="-0.852232" z="0.000000"/>
+                <texcoord u="0.549622" v="0.650637"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="-0.150000" z="0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.523164" y="-0.852232" z="0.000000"/>
+                <texcoord u="0.586825" v="0.495139"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="-0.150000" z="0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.523164" y="-0.852232" z="0.000000"/>
+                <texcoord u="0.645973" v="0.591490"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.150000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.523164" y="-0.852232" z="0.000000"/>
+                <texcoord u="0.490474" v="0.554286"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="0.550000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-0.489702" y="-0.871890" z="0.000000"/>
+                <texcoord u="0.395327" v="0.270752"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.250000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-0.489702" y="-0.871890" z="0.000000"/>
+                <texcoord u="0.549264" v="0.227543"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="0.250000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-0.489702" y="-0.871890" z="0.000000"/>
+                <texcoord u="0.493900" v="0.326116"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="0.550000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-0.489702" y="-0.871890" z="0.000000"/>
+                <texcoord u="0.395327" v="0.270752"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.550000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-0.489702" y="-0.871890" z="0.000000"/>
+                <texcoord u="0.450691" v="0.172179"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.250000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-0.489702" y="-0.871890" z="0.000000"/>
+                <texcoord u="0.549264" v="0.227543"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="0.950000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-1.000000" y="0.000000" z="-0.000000"/>
+                <texcoord u="0.470235" v="0.038165"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.650000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-1.000000" y="0.000000" z="-0.000000"/>
+                <texcoord u="0.583292" v="0.151222"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="0.650000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-1.000000" y="0.000000" z="-0.000000"/>
+                <texcoord u="0.470235" v="0.151222"/>
+            </vertex>
+            <vertex>
+                <position x="-0.141213" y="0.950000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-1.000000" y="0.000000" z="-0.000000"/>
+                <texcoord u="0.470235" v="0.038165"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.950000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-1.000000" y="0.000000" z="-0.000000"/>
+                <texcoord u="0.583292" v="0.038165"/>
+            </vertex>
+            <vertex>
+                <position x="-0.441213" y="0.650000" z="-0.000000"/>
+                <normal x="0.000000" y="0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="-1.000000" y="0.000000" z="-0.000000"/>
+                <texcoord u="0.583292" v="0.151222"/>
+            </vertex>
+            <vertex>
+                <position x="-0.479313" y="0.950000" z="0.000000"/>
+                <normal x="0.000000" y="-0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.577928" y="-0.816088" z="-0.000000"/>
+                <texcoord u="0.470077" v="0.772354"/>
+            </vertex>
+            <vertex>
+                <position x="-0.779313" y="0.650000" z="0.000000"/>
+                <normal x="0.000000" y="-0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.577928" y="-0.816088" z="-0.000000"/>
+                <texcoord u="0.497003" v="0.614750"/>
+            </vertex>
+            <vertex>
+                <position x="-0.479313" y="0.650000" z="0.000000"/>
+                <normal x="0.000000" y="-0.000000" z="1.000000"/>
+                <tangent w="-1.000000" x="0.577928" y="-0.816088" z="-0.000000"/>
+                <texcoord u="0.562342" v="0.707015"/>
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