Examples of AffineTransformation

com.vividsolutions.jts.geom.util.AffineTransformation
Represents an affine transformation on the 2D Cartesian plane. It can be used to transform a {@link Coordinate} or {@link Geometry}. An affine transformation is a mapping of the 2D plane into itself via a series of transformations of the following basic types:
- reflection (through a line)
- rotation (around the origin)
- scaling (relative to the origin)
- shearing (in both the X and Y directions)
- translation
In general, affine transformations preserve straightness and parallel lines, but do not preserve distance or shape.
An affine transformation can be represented by a 3x3 matrix in the following form:
```
 T = | m00 m01 m02 | | m10 m11 m12 | |  0   0   1  | 
```
A coordinate P = (x, y) can be transformed to a new coordinate P' = (x', y') by representing it as a 3x1 matrix and using matrix multiplication to compute:
```
 | x' |  = T x | x | | y' |        | y | | 1  |        | 1 | 
```
Affine transformations can be composed using the {@link #compose} method.The composition of transformations is in general not commutative. transformation matrices as follows:
```
 A.compose(B) = T_B x T_A 
```
This produces a transformation whose effect is that of A followed by B. Composition is computed via multiplication of the The methods {@link #reflect}, {@link #rotate}, {@link #scale}, {@link #shear}, and {@link #translate} have the effect of composing a transformation of that type with the transformation they are invoked on.
Affine transformations may be invertible or non-invertible. If a transformation is invertible, then there exists an inverse transformation which when composed produces the identity transformation. The {@link #getInverse} methodcomputes the inverse of a transformation, if one exists. @author Martin Davis
de.lmu.ifi.dbs.elki.math.linearalgebra.AffineTransformation
Affine transformations implemented using homogeneous coordinates. The use of homogeneous coordinates allows the combination of multiple affine transformations (rotations, translations, scaling) into a single matrix operation (of dimensionality dim+1), and also the construction of an inverse transformation. @author Erich Schubert @apiviz.composedOf Matrix @apiviz.uses Matrix @apiviz.uses Vector

Examples of com.vividsolutions.jts.geom.util.AffineTransformation

  }
  
  protected Geometry rotate(Geometry geom)
  {
    if (rotationAngle != 0.0) {
      AffineTransformation trans = AffineTransformation.rotationInstance(rotationAngle, 
          dim.getCentre().x, dim.getCentre().y);
      geom.apply(trans);
    }
    return geom;
  }

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

   * @param intersection the geometry to be converted
   * @return the screen position
   */
  protected Geometry buildScreenPosition( Dimension2D screenSize, Geometry view, Geometry intersection )
  {
    AffineTransformation transformer = createWorldToScreenTransform( view.getEnvelopeInternal(), screenSize );
    
    Geometry position = (Geometry)intersection.clone();
    position.apply( transformer );
    position.geometryChanged();

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

    double xOffset = - view.getMinX() * xScale;
      
    double yScale = screenSize.getHeight() / view.getHeight();
    double yOffset = - view.getMinY() * yScale;
    
    return new AffineTransformation( xScale, 0.0, xOffset, 0.0, yScale, yOffset );
  }

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

  }
  
  protected Geometry rotate(Geometry geom)
  {
    if (rotationAngle != 0.0) {
      AffineTransformation trans = AffineTransformation.rotationInstance(rotationAngle, 
          dim.getCentre().x, dim.getCentre().y);
      geom.apply(trans);
    }
    return geom;
  }

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

        Geometry shell = obj.getAreaSet().getShell();
        Envelope bounds = shell.getEnvelopeInternal(); // bounds for hatch lines
        // using bounds of outer shell to ascertain that hatch lines on 
        // different layers align
        
        AffineTransformation t = obj.getTranslate();
        
        // currently not used --> always 0
        if(lp.outline_offset != 0)
            shell = shell.buffer(-lp.outline_offset);

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

    private Point2d[] optimizePacking(AreaSet as, int lines, BSProperties bsp){
        double lineHeight = (bsp.bed_size[1] - 2*(bsp.extrusion_width + bsp.skirt_distance) - (lines-1)*bsp.gap)/lines;
        Geometry shell0 = (Geometry)as.getShell().clone();
        Envelope env0 = shell0.getEnvelopeInternal();
        
        AffineTransformation t;
        t = AffineTransformation.translationInstance(-env0.getMinX(), -env0.getMinY());
        shell0 = t.transform(shell0);
        env0 = shell0.getEnvelopeInternal();
        
        Geometry shell1 = (Geometry)shell0.clone();
        t = AffineTransformation.translationInstance(env0.getWidth(), lineHeight - env0.getHeight());
        shell1 = t.transform(shell1);
        
        double dist = shell0.distance(shell1);
        double error = dist-2.5;
        while(Math.abs(error) > 0.5){
            t = AffineTransformation.translationInstance(-error/2, 0);
            shell1 = t.transform(shell1);
            dist = shell0.distance(shell1);
            System.out.println("shell 1 distance: " + dist);
            error = dist-2.5;
        }
        Envelope env1 = shell1.getEnvelopeInternal();
        
        Geometry shell2 = (Geometry)shell1.clone();
        t = AffineTransformation.translationInstance(env1.getWidth(), -env1.getMinY());
        shell2 = t.transform(shell2);
        
        dist = shell1.distance(shell2);
        error = dist-2.5;
        while(Math.abs(error) > 0.5){
            t = AffineTransformation.translationInstance(-error/3, 0);
            shell2 = t.transform(shell2);
            dist = shell1.distance(shell2);
            System.out.println("shell 2 distance: " + dist);
            error = dist-2.5;
        }
        Envelope env2 = shell2.getEnvelopeInternal();

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

        BufferedImage image = new BufferedImage(tileRequest.width, tileRequest.height,
                renderer.getColorModel());
        context.graphics = image.createGraphics();
        Envelope2D trbb = tileRequest.bbox;
        context.bbox = new Envelope(trbb.x, trbb.x + trbb.width, trbb.y, trbb.y + trbb.height);
        context.transform = new AffineTransformation();
        double xScale = tileRequest.width / trbb.width;
        double yScale = tileRequest.height / trbb.height;


        context.transform.translate(-trbb.x, -trbb.y - trbb.height);
        context.transform.scale(xScale, -yScale);

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

                //System.out.println(simplifiedGeometry.getEnvelopeInternal());
                
                // compensate for the jaitools range lookup poking the corner of the cells instead 
                // of their center, this makes for odd results if the polygon is just slightly 
                // misaligned with the coverage
                AffineTransformation at = new AffineTransformation();
                
                at.setToTranslation(-0.5, -0.5);
                simplifiedGeometry.apply(at);
                
                // build a shape using a fast point in polygon wrapper
                ROI roi = new ROIGeometry(simplifiedGeometry, false);

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

        // wrap as a feature collection and return
        final SimpleFeatureType featureType = CoverageUtilities.createFeatureType(coverage, Polygon.class);
        final SimpleFeatureBuilder builder = new SimpleFeatureBuilder(featureType);
        int i = 0;
        final ListFeatureCollection featureCollection = new ListFeatureCollection(featureType);
        final AffineTransformation jtsTransformation = new AffineTransformation(
                mt2D.getScaleX(),
                mt2D.getShearX(),
                mt2D.getTranslateX(),
                mt2D.getShearY(),
                mt2D.getScaleY(),

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Examples of com.vividsolutions.jts.geom.util.AffineTransformation

        final SimpleFeatureType schema = CoverageUtilities
                .createFeatureType(gc2d, LineString.class);
        final SimpleFeatureBuilder builder = new SimpleFeatureBuilder(schema);
        int i = 0;
        final ListFeatureCollection featureCollection = new ListFeatureCollection(schema);
        final AffineTransformation jtsTransformation = new AffineTransformation(mt2D.getScaleX(),
                mt2D.getShearX(), mt2D.getTranslateX(), mt2D.getShearY(), mt2D.getScaleY(),
                mt2D.getTranslateY());
        for (LineString line : prop) {


            // get value

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