edu.jhu.ece.iacl.jist.structures.geom
Class EmbeddedSurface

java.lang.Object
  ModelTriangleMesh
      edu.jhu.ece.iacl.jist.structures.geom.EmbeddedSurface

All Implemented Interfaces:

java.lang.Cloneable, java.lang.Comparable<EmbeddedSurface>

public class EmbeddedSurface
extends ModelTriangleMesh
implements java.lang.Cloneable, java.lang.Comparable<EmbeddedSurface>

The Class EmbeddedSurface.

Nested Class Summary

static class	EmbeddedSurface.Direction The Enum Direction.
static class	EmbeddedSurface.Edge The Class Edge.
static class	EmbeddedSurface.EdgeSplit The Class EdgeSplit.
static class	EmbeddedSurface.Face The Class Face.

Field Summary

protected double[][]	cellData The cell data.
protected EmbeddedSurface.Edge[]	edges The edges.
protected int[][]	edgeTable The edge table.
protected EmbeddedSurface.Face[]	faces The faces.
protected EmbeddedSurface.Face[][]	neighborEdgeFaceTable The neighbor edge face table.
protected EmbeddedSurface.Face[][]	neighborFaceFaceTable The neighbor face face table.
protected EmbeddedSurface.Edge[][]	neighborVertexEdgeTable The neighbor vertex edge table.
protected EmbeddedSurface.Face[][]	neighborVertexFaceTable The neighbor vertex face table.
protected int[][]	neighborVertexVertexTable The neighbor vertex vertex table.
protected Point3f	origin The origin.
protected Vector3f	scale The scale.
protected double[][]	textureCoords The texture coords.
protected double[][]	vertexData The vertex data.

Constructor Summary

EmbeddedSurface(EmbeddedSurface mesh)
Instantiates a new embedded surface.

EmbeddedSurface(EmbeddedSurface mesh, double[][] data)
Instantiates a new embedded surface.

EmbeddedSurface(ModelTriangleMesh mesh)
Instantiates a new embedded surface.

EmbeddedSurface(ModelTriangleMesh mesh, double[][] data)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, int[] indexes)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, int[] indexes, double[][] data)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, Vector3f[] arg1, Color3f[] arg2, int[] arg3)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, Vector3f[] arg1, Color3f[] arg2, int[] arg3, double[][] data)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, Vector3f[] arg1, Color4f[] arg2, int[] arg3)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, Vector3f[] arg1, Color4f[] arg2, int[] arg3, double[][] data)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, Vector3f[] normals, int[] indexes)
Instantiates a new embedded surface.

EmbeddedSurface(Point3f[] points, Vector3f[] normals, int[] indexes, double[][] data)
Instantiates a new embedded surface.

Method Summary

void	affineTransformVertices(Matrix3f m, Point3f t) Affine transform vertices.
void	buildAllTables() Builds the all tables.
static java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge>	buildEdgeHash(EmbeddedSurface.Edge[] edges) Builds the edge hash.
static EmbeddedSurface.Edge[]	buildEdgeTable(ModelTriangleMesh mesh) Builds the edge table.
static EmbeddedSurface.Face[]	buildFaceTable(ModelTriangleMesh mesh, EmbeddedSurface.Edge[] edges, java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> edgeHash) Builds the face table.
static EmbeddedSurface.Face[][]	buildNeighborEdgeFaceTable(ModelTriangleMesh mesh, EmbeddedSurface.Face[] faces, java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> edgeHash, EmbeddedSurface.Edge[] edges) Builds the neighbor edge face table.
static EmbeddedSurface.Face[][]	buildNeighborFaceFaceTable(ModelTriangleMesh mesh, EmbeddedSurface.Face[] faces, EmbeddedSurface.Face[][] neighborEdgeFaceTable) Builds the neighbor face face table.
static EmbeddedSurface.Edge[][]	buildNeighborVertexEdgeTable(int[][] neighborVertexTable, EmbeddedSurface.Edge[] edges, java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> edgeHash) Builds the neighbor vertex edge table.
static EmbeddedSurface.Face[][]	buildNeighborVertexFaceTable(EmbeddedSurface.Edge[][] neighborEdgeTable, EmbeddedSurface.Face[][] neighborFaceTable) Builds the neighbor vertex face table.
static int[][]	buildNeighborVertexVertexTable(ModelTriangleMesh mesh, EmbeddedSurface.Direction dir) Construct a neighbor table ordered in a particular direction.
EmbeddedSurface	clone()
int	compareTo(EmbeddedSurface surf)
void	convertToCartesian() Convert to cartesian.
void	convertToSpherical() Convert to spherical.
void	disposeAllTables() Dispose all tables.
double[][]	getCellData()
Point3f	getCenterOfMass() Gets the center of mass.
Point3f	getCentroid(int fid) Gets the centroid.
Point3f	getCentroidAtOffset(int fid, int offset) Gets the centroid at offset.
EmbeddedSurface.Edge[]	getEdges() Gets the edges.
int[][]	getEdgeTable() Gets the edge table.
EmbeddedSurface	getEmbeddedSphere(int offset, boolean polar) Gets the embedded sphere.
float	getFaceArea(int fid) Gets the face area.
int	getFaceCount() Gets the face count.
Point3f[]	getFacePoints(int fid) Gets the face points.
EmbeddedSurface.Face[]	getFaces() Gets the faces.
int[]	getFaceVertexIds(int fid) Gets the face vertex ids.
static int	getGenus(ModelTriangleMesh mesh) Gets the genus.
Point3f	getInnerPoint(int i) Gets the inner point.
Point3f	getMax() Gets the max.
float	getMaxAngle(int fid) Gets the max angle.
Point3f	getMin() Gets the min.
float	getMinAngle(int fid) Gets the min angle.
EmbeddedSurface.Face[][]	getNeighborEdgeFaceTable() Gets the neighbor edge face table.
EmbeddedSurface.Face[][]	getNeighborFaceFaceTable() Gets the neighbor face face table.
EmbeddedSurface.Edge[][]	getNeighborVertexEdgeTable() Gets the neighbor vertex edge table.
EmbeddedSurface.Face[][]	getNeighborVertexFaceTable() Gets the neighbor vertex face table.
int[][]	getNeighborVertexVertexTable() Gets the neighbor vertex vertex table.
Vector3f	getNormal(int i) Gets the normal.
long	getNumberOfHoles() Gets the number of holes.
Point3f	getOrigin() Gets the origin.
Point3f	getOuterPoint(int i) Gets the outer point.
Point3f	getPointAtOffset(int i, int offset) Gets the point at offset.
Vector3f	getScale() Gets the scale.
protected double[]	getStatistics(int i) Gets the statistics.
double[]	getStats() Gets the stats.
double[][]	getTextureCoordinates() Gets the texture coordinates.
double	getThickness(int i) Gets the thickness.
Vector3f	getVectorAtOffset(int i, int offset) Gets the vector at offset.
Point3f	getVertex(int i) Gets the vertex.
double[][]	getVertexData()
double[]	getVertexData(int i)
double	getVertexDataAtOffset(int i, int offset) Gets the vertex data at offset.
double[]	getVertexDoubleCopy() Gets the vertex double copy.
boolean	hasEmbeddedData() Checks for embedded data.
Point3f	midPoint(EmbeddedSurface.Edge e) Mid point.
double[]	midValues(EmbeddedSurface.Edge e) Mid values.
void	repairDegenerateMappings(float minDist, float perturbation) Repair degenerate mappings.
void	repairDegenerateTriangles(float minDist, float perturbation) Repair degenerate triangles.
void	resizeData(int dim) Resize data.
void	rotateVertices(float theta, float phi) Rotate vertices.
void	scaleData(float scalar) Scale data.
void	scaleVertices(float scalar) Scale vertices.
void	scaleVertices(float[] scalar) Scale vertices.
void	setCellData(double[][] cellData)
void	setColor(int i, java.awt.Color c) Sets the color.
void	setInnerPoint(int i, Point3f p) Sets the inner point.
void	setOrigin(Point3f scale) Sets the origin.
void	setOuterPoint(int i, Point3f p) Sets the outer point.
void	setScale(Vector3f scale) Sets the scale.
void	setTextureCoordinates(double[][] textureCoords) Sets the texture coordinates.
void	setThickness(int i, double thick) Sets the thickness.
void	setVertex(int i, Tuple3f p) Sets the vertex.
void	setVertexData(double[][] data)
void	setVertexData(int i, double val)
void	setVertexData(int i, double[] array)
void	setVertexData(int i, int j, double val)
java.lang.String	toString()
void	transform(Matrix m) Transform.
void	translate(Point3f offset) Translate.

Methods inherited from class java.lang.Object

equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface java.lang.Comparable

compareTo

Field Detail

textureCoords

protected double[][] textureCoords

The texture coords.

vertexData

protected double[][] vertexData

The vertex data.

cellData

protected double[][] cellData

The cell data.

edgeTable

protected int[][] edgeTable

The edge table.

neighborVertexVertexTable

protected int[][] neighborVertexVertexTable

The neighbor vertex vertex table.

neighborEdgeFaceTable

protected EmbeddedSurface.Face[][] neighborEdgeFaceTable

The neighbor edge face table.

neighborVertexFaceTable

protected EmbeddedSurface.Face[][] neighborVertexFaceTable

The neighbor vertex face table.

edges

protected EmbeddedSurface.Edge[] edges

The edges.

neighborVertexEdgeTable

protected EmbeddedSurface.Edge[][] neighborVertexEdgeTable

The neighbor vertex edge table.

faces

protected EmbeddedSurface.Face[] faces

The faces.

neighborFaceFaceTable

protected EmbeddedSurface.Face[][] neighborFaceFaceTable

The neighbor face face table.

origin

protected Point3f origin

The origin.

scale

protected Vector3f scale

The scale.

Constructor Detail

EmbeddedSurface

public EmbeddedSurface(EmbeddedSurface mesh)

Instantiates a new embedded surface.

Parameters:

mesh - the mesh

EmbeddedSurface

public EmbeddedSurface(EmbeddedSurface mesh,
                       double[][] data)

Instantiates a new embedded surface.

Parameters:

mesh - the mesh

data - the data

EmbeddedSurface

public EmbeddedSurface(ModelTriangleMesh mesh)

Instantiates a new embedded surface.

Parameters:

mesh - the mesh

EmbeddedSurface

public EmbeddedSurface(ModelTriangleMesh mesh,
                       double[][] data)

Instantiates a new embedded surface.

Parameters:

mesh - the mesh

data - the data

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       int[] indexes)

Instantiates a new embedded surface.

Parameters:

points - the points

indexes - the indexes

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       int[] indexes,
                       double[][] data)

Instantiates a new embedded surface.

Parameters:

points - the points

indexes - the indexes

data - the data

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       Vector3f[] arg1,
                       Color3f[] arg2,
                       int[] arg3)

Instantiates a new embedded surface.

Parameters:

points - the points

arg1 - the arg1

arg2 - the arg2

arg3 - the arg3

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       Vector3f[] arg1,
                       Color3f[] arg2,
                       int[] arg3,
                       double[][] data)

Instantiates a new embedded surface.

Parameters:

points - the points

arg1 - the arg1

arg2 - the arg2

arg3 - the arg3

data - the data

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       Vector3f[] arg1,
                       Color4f[] arg2,
                       int[] arg3)

Instantiates a new embedded surface.

Parameters:

points - the points

arg1 - the arg1

arg2 - the arg2

arg3 - the arg3

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       Vector3f[] arg1,
                       Color4f[] arg2,
                       int[] arg3,
                       double[][] data)

Instantiates a new embedded surface.

Parameters:

points - the points

arg1 - the arg1

arg2 - the arg2

arg3 - the arg3

data - the data

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       Vector3f[] normals,
                       int[] indexes)

Instantiates a new embedded surface.

Parameters:

points - the points

normals - the normals

indexes - the indexes

EmbeddedSurface

public EmbeddedSurface(Point3f[] points,
                       Vector3f[] normals,
                       int[] indexes,
                       double[][] data)

Instantiates a new embedded surface.

Parameters:

points - the points

normals - the normals

indexes - the indexes

data - the data

Method Detail

buildEdgeHash

public static java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> buildEdgeHash(EmbeddedSurface.Edge[] edges)

Builds the edge hash.

Parameters:

edges - the edges

Returns:

the hashtable< long, edge>

buildEdgeTable

public static EmbeddedSurface.Edge[] buildEdgeTable(ModelTriangleMesh mesh)

Builds the edge table.

Parameters:

mesh - the mesh

Returns:

the edge[]

buildFaceTable

public static EmbeddedSurface.Face[] buildFaceTable(ModelTriangleMesh mesh,
                                                    EmbeddedSurface.Edge[] edges,
                                                    java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> edgeHash)

Builds the face table.

Parameters:

mesh - the mesh

edges - the edges

edgeHash - the edge hash

Returns:

the face[]

buildNeighborEdgeFaceTable

public static EmbeddedSurface.Face[][] buildNeighborEdgeFaceTable(ModelTriangleMesh mesh,
                                                                  EmbeddedSurface.Face[] faces,
                                                                  java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> edgeHash,
                                                                  EmbeddedSurface.Edge[] edges)

Builds the neighbor edge face table.

Parameters:

mesh - the mesh

faces - the faces

edgeHash - the edge hash

edges - the edges

Returns:

the face[][]

buildNeighborFaceFaceTable

public static EmbeddedSurface.Face[][] buildNeighborFaceFaceTable(ModelTriangleMesh mesh,
                                                                  EmbeddedSurface.Face[] faces,
                                                                  EmbeddedSurface.Face[][] neighborEdgeFaceTable)

Builds the neighbor face face table.

Parameters:

mesh - the mesh

faces - the faces

neighborEdgeFaceTable - the neighbor edge face table

Returns:

the face[][]

buildNeighborVertexEdgeTable

public static EmbeddedSurface.Edge[][] buildNeighborVertexEdgeTable(int[][] neighborVertexTable,
                                                                    EmbeddedSurface.Edge[] edges,
                                                                    java.util.Hashtable<java.lang.Long,EmbeddedSurface.Edge> edgeHash)

Builds the neighbor vertex edge table.

Parameters:

neighborVertexTable - the neighbor vertex table

edges - the edges

edgeHash - the edge hash

Returns:

the edge[][]

buildAllTables

public void buildAllTables()

Builds the all tables.

disposeAllTables

public void disposeAllTables()

Dispose all tables.

buildNeighborVertexFaceTable

public static EmbeddedSurface.Face[][] buildNeighborVertexFaceTable(EmbeddedSurface.Edge[][] neighborEdgeTable,
                                                                    EmbeddedSurface.Face[][] neighborFaceTable)

Builds the neighbor vertex face table.

Parameters:

neighborEdgeTable - the neighbor edge table

neighborFaceTable - the neighbor face table

Returns:

the face[][]

buildNeighborVertexVertexTable

public static int[][] buildNeighborVertexVertexTable(ModelTriangleMesh mesh,
                                                     EmbeddedSurface.Direction dir)

Construct a neighbor table ordered in a particular direction. This algorithm assumes a closed manifold with no holes

Parameters:

mesh - triangle mesh

dir - rotation direction

Returns:

list of nodes by their neighbors (variable size array list)

getGenus

public static int getGenus(ModelTriangleMesh mesh)

Gets the genus.

Parameters:

mesh - the mesh

Returns:

the genus

getEdgeTable

public int[][] getEdgeTable()

Gets the edge table.

Returns:

the edge table

getNeighborFaceFaceTable

public EmbeddedSurface.Face[][] getNeighborFaceFaceTable()

Gets the neighbor face face table.

Returns:

the neighbor face face table

getNeighborVertexVertexTable

public int[][] getNeighborVertexVertexTable()

Gets the neighbor vertex vertex table.

Returns:

the neighbor vertex vertex table

getNeighborEdgeFaceTable

public EmbeddedSurface.Face[][] getNeighborEdgeFaceTable()

Gets the neighbor edge face table.

Returns:

the neighbor edge face table

getNeighborVertexFaceTable

public EmbeddedSurface.Face[][] getNeighborVertexFaceTable()

Gets the neighbor vertex face table.

Returns:

the neighbor vertex face table

getEdges

public EmbeddedSurface.Edge[] getEdges()

Gets the edges.

Returns:

the edges

getNeighborVertexEdgeTable

public EmbeddedSurface.Edge[][] getNeighborVertexEdgeTable()

Gets the neighbor vertex edge table.

Returns:

the neighbor vertex edge table

getFaces

public EmbeddedSurface.Face[] getFaces()

Gets the faces.

Returns:

the faces

clone

public EmbeddedSurface clone()

compareTo

public int compareTo(EmbeddedSurface surf)

convertToCartesian

public void convertToCartesian()

Convert to cartesian.

convertToSpherical

public void convertToSpherical()

Convert to spherical.

getCellData

public double[][] getCellData()

getCenterOfMass

public Point3f getCenterOfMass()

Gets the center of mass.

Returns:

the center of mass

getCentroid

public Point3f getCentroid(int fid)

Gets the centroid.

Parameters:

fid - the fid

Returns:

the centroid

getCentroidAtOffset

public Point3f getCentroidAtOffset(int fid,
                                   int offset)

Gets the centroid at offset.

Parameters:

fid - the fid

offset - the offset

Returns:

the centroid at offset

getEmbeddedSphere

public EmbeddedSurface getEmbeddedSphere(int offset,
                                         boolean polar)

Gets the embedded sphere.

Parameters:

offset - the offset

polar - the polar

Returns:

the embedded sphere

getFaceArea

public float getFaceArea(int fid)

Gets the face area.

Parameters:

fid - the fid

Returns:

the face area

getFaceCount

public int getFaceCount()

Gets the face count.

Returns:

the face count

getFacePoints

public Point3f[] getFacePoints(int fid)

Gets the face points.

Parameters:

fid - the fid

Returns:

the face points

getFaceVertexIds

public int[] getFaceVertexIds(int fid)

Gets the face vertex ids.

Parameters:

fid - the fid

Returns:

the face vertex ids

getInnerPoint

public Point3f getInnerPoint(int i)

Gets the inner point.

Parameters:

i - the i

Returns:

the inner point

getMax

public Point3f getMax()

Gets the max.

Returns:

the max

getMaxAngle

public float getMaxAngle(int fid)

Gets the max angle.

Parameters:

fid - the fid

Returns:

the max angle

getMin

public Point3f getMin()

Gets the min.

Returns:

the min

getMinAngle

public float getMinAngle(int fid)

Gets the min angle.

Parameters:

fid - the fid

Returns:

the min angle

getNormal

public Vector3f getNormal(int i)

Gets the normal.

Parameters:

i - the i

Returns:

the normal

getNumberOfHoles

public long getNumberOfHoles()

Gets the number of holes.

Returns:

the number of holes

getOrigin

public Point3f getOrigin()

Gets the origin.

Returns:

the origin

getOuterPoint

public Point3f getOuterPoint(int i)

Gets the outer point.

Parameters:

i - the i

Returns:

the outer point

getPointAtOffset

public Point3f getPointAtOffset(int i,
                                int offset)

Gets the point at offset.

Parameters:

i - the i

offset - the offset

Returns:

the point at offset

getScale

public Vector3f getScale()

Gets the scale.

Returns:

the scale

getStatistics

protected double[] getStatistics(int i)

Gets the statistics.

Parameters:

i - the i

Returns:

the statistics

getStats

public double[] getStats()

Gets the stats.

Returns:

the stats

getThickness

public double getThickness(int i)

Gets the thickness.

Parameters:

i - the i

Returns:

the thickness

getVectorAtOffset

public Vector3f getVectorAtOffset(int i,
                                  int offset)

Gets the vector at offset.

Parameters:

i - the i

offset - the offset

Returns:

the vector at offset

getVertex

public Point3f getVertex(int i)

Gets the vertex.

Parameters:

i - the i

Returns:

the vertex

getVertexDoubleCopy

public double[] getVertexDoubleCopy()

Gets the vertex double copy.

Returns:

the vertex double copy

getVertexData

public double[][] getVertexData()

getVertexData

public double[] getVertexData(int i)

getVertexDataAtOffset

public double getVertexDataAtOffset(int i,
                                    int offset)

Gets the vertex data at offset.

Parameters:

i - the i

offset - the offset

Returns:

the vertex data at offset

hasEmbeddedData

public boolean hasEmbeddedData()

Checks for embedded data.

Returns:

true, if successful

midPoint

public Point3f midPoint(EmbeddedSurface.Edge e)

Mid point.

Parameters:

e - the e

Returns:

the point3f

midValues

public double[] midValues(EmbeddedSurface.Edge e)

Mid values.

Parameters:

e - the e

Returns:

the double[]

repairDegenerateMappings

public void repairDegenerateMappings(float minDist,
                                     float perturbation)

Repair degenerate mappings.

Parameters:

minDist - the min dist

perturbation - the perturbation

repairDegenerateTriangles

public void repairDegenerateTriangles(float minDist,
                                      float perturbation)

Repair degenerate triangles.

Parameters:

minDist - the min dist

perturbation - the perturbation

resizeData

public void resizeData(int dim)

Resize data.

Parameters:

dim - the dim

scaleData

public void scaleData(float scalar)

Scale data.

Parameters:

scalar - the scalar

scaleVertices

public void scaleVertices(float scalar)

Scale vertices.

Parameters:

scalar - the scalar

rotateVertices

public void rotateVertices(float theta,
                           float phi)

Rotate vertices.

Parameters:

theta - the theta

phi - the phi

scaleVertices

public void scaleVertices(float[] scalar)

Scale vertices.

Parameters:

scalar - the scalar

affineTransformVertices

public void affineTransformVertices(Matrix3f m,
                                    Point3f t)

Affine transform vertices.

Parameters:

m - the m

t - the t

setCellData

public void setCellData(double[][] cellData)

setColor

public void setColor(int i,
                     java.awt.Color c)

Sets the color.

Parameters:

i - the i

c - the c

setInnerPoint

public void setInnerPoint(int i,
                          Point3f p)

Sets the inner point.

Parameters:

i - the i

p - the p

setOrigin

public void setOrigin(Point3f scale)

Sets the origin.

Parameters:

scale - the new origin

setOuterPoint

public void setOuterPoint(int i,
                          Point3f p)

Sets the outer point.

Parameters:

i - the i

p - the p

setScale

public void setScale(Vector3f scale)

Sets the scale.

Parameters:

scale - the new scale

setThickness

public void setThickness(int i,
                         double thick)

Sets the thickness.

Parameters:

i - the i

thick - the thick

setVertex

public void setVertex(int i,
                      Tuple3f p)

Sets the vertex.

Parameters:

i - the i

p - the p

setVertexData

public void setVertexData(double[][] data)

setVertexData

public void setVertexData(int i,
                          double val)

setVertexData

public void setVertexData(int i,
                          double[] array)

setVertexData

public void setVertexData(int i,
                          int j,
                          double val)

toString

public java.lang.String toString()

translate

public void translate(Point3f offset)

Translate.

Parameters:

offset - the offset

transform

public void transform(Matrix m)

Transform.

Parameters:

m - the m

getTextureCoordinates

public double[][] getTextureCoordinates()

Gets the texture coordinates.

Returns:

the texture coordinates

setTextureCoordinates

public void setTextureCoordinates(double[][] textureCoords)

Sets the texture coordinates.

Parameters:

textureCoords - the new texture coordinates