This can be achieved by manually calculating two skewed quads and render those using a SpriteBatch.
Cutting a sprite along angle angle we get a directional vector representing the cut by
public void cut(float angle) {
Vector2 d = (new Vector2(1.0f, 0.0f)).rotate(angle);
if we also define the four corners for the UV Mapping of the Texture, along with the center and one vector la going d away from the center and lb going -d
Vector2 c = new Vector2(0.5f, 0.5f);
Vector2 la = (new Vector2(d)).scl( 1.0f).add(c);
Vector2 lb = (new Vector2(d)).scl(-1.0f).add(c);
Vector2 tl = new Vector2(0, 1);
Vector2 tr = new Vector2(1, 1);
Vector2 bl = new Vector2(0, 0);
Vector2 br = new Vector2(1, 0);
we can then calculate the intersection of the cut
Vector2 i1 = new Vector2();
Vector2 i2 = new Vector2();
if (Intersector.intersectSegments(c, la, tl, tr, i1) || Intersector.intersectSegments(c, lb, tl, tr, i1))
i2.set(1.0f - i1.x, 1.0f - i1.y);
else {
if (Intersector.intersectSegments(c, la, tl, bl, i1) || Intersector.intersectSegments(c, lb, tl, bl, i1))
i2.set(1.0f - i1.x, 1.0f - i1.y);
}
At this point we know that one half of the cut will consist of vertices i1, i2 and two of tl, tr, bl and br, so if we sort them by angle away from the cut and then take the first 4 from i1 we get the vertices required to build the skewed quad:
Vector2[] vertexList = new Vector2[] {
tl, tr, bl, br, i1, i2
};
Array<VertexAngle> vas = new Array<>();
for (Vector2 v : vertexList) {
Vector2 vd = (new Vector2(v)).sub(c);
float a = d.angle(vd);
VertexAngle va = new VertexAngle();
va.v = v;
va.a = a;
vas.add(va);
}
vas.sort(new Comparator<VertexAngle>() {
@Override
public int compare(VertexAngle a, VertexAngle b) {
return Float.compare(a.a, b.a);
}
});
Array<Vector2> nv = new Array<>();
for (VertexAngle va : vas)
nv.add(va.v);
int index = nv.indexOf(i1, true);
The a float array containing the vertex data for the draw call can be constructed and rendered with a call to draw on SpriteBatch.
For example:
Full source code for the above example is:
package com.bornander.sandbox;
import com.badlogic.gdx.ApplicationAdapter;
import com.badlogic.gdx.Gdx;
import com.badlogic.gdx.Input;
import com.badlogic.gdx.graphics.Color;
import com.badlogic.gdx.graphics.GL20;
import com.badlogic.gdx.graphics.OrthographicCamera;
import com.badlogic.gdx.graphics.Texture;
import com.badlogic.gdx.graphics.g2d.SpriteBatch;
import com.badlogic.gdx.math.Intersector;
import com.badlogic.gdx.math.Vector2;
import com.badlogic.gdx.utils.Array;
import java.util.Comparator;
public class SandboxGame extends ApplicationAdapter {
OrthographicCamera camera;
SpriteBatch batch;
Texture texture;
CutTexture cutTexture;
public static class CutTexture
{
public static class VertexAngle {
public Vector2 v;
public float a;
}
public static class CutHalf {
public float[] vertices = new float[4 * 5];
public void translate(float x, float y) {
for(int i = 0; i < vertices.length; i += 5) {
vertices[i + 0] += x;
vertices[i + 1] += y;
}
}
}
public Vector2 position = new Vector2();
public Vector2 driftDirection = new Vector2();
public float drift = 0.0f;
public Texture source;
public CutHalf halfA = new CutHalf();
public CutHalf halfB = new CutHalf();
public void cut(float angle) {
Vector2 d = (new Vector2(1.0f, 0.0f)).rotate(angle);
Vector2 c = new Vector2(0.5f, 0.5f);
driftDirection.set(d).rotate(90.0f);
Vector2 la = (new Vector2(d)).scl( 1.0f).add(c);
Vector2 lb = (new Vector2(d)).scl(-1.0f).add(c);
Vector2 tl = new Vector2(0, 1);
Vector2 tr = new Vector2(1, 1);
Vector2 bl = new Vector2(0, 0);
Vector2 br = new Vector2(1, 0);
Vector2 i1 = new Vector2();
Vector2 i2 = new Vector2();
if (Intersector.intersectSegments(c, la, tl, tr, i1) || Intersector.intersectSegments(c, lb, tl, tr, i1))
i2.set(1.0f - i1.x, 1.0f - i1.y);
else {
if (Intersector.intersectSegments(c, la, tl, bl, i1) || Intersector.intersectSegments(c, lb, tl, bl, i1))
i2.set(1.0f - i1.x, 1.0f - i1.y);
}
Vector2[] vertexList = new Vector2[] {
tl, tr, bl, br, i1, i2
};
Array<VertexAngle> vas = new Array<>();
for (Vector2 v : vertexList) {
Vector2 vd = (new Vector2(v)).sub(c);
float a = d.angle(vd);
VertexAngle va = new VertexAngle();
va.v = v;
va.a = a;
vas.add(va);
}
vas.sort(new Comparator<VertexAngle>() {
@Override
public int compare(VertexAngle a, VertexAngle b) {
return Float.compare(a.a, b.a);
}
});
Array<Vector2> nv = new Array<>();
for (VertexAngle va : vas)
nv.add(va.v);
int index = nv.indexOf(i1, true);
int idx = 0;
int lastIndex = 0;
for(int j = 0; j < 4; ++j) {
lastIndex = (index + j) % nv.size;
Vector2 vertex = nv.get(lastIndex);
float width = source.getWidth();
float height = source.getWidth();
float fx2 = position.x + width * vertex.x - width / 2.0f;
float fy2 = position.y + height * vertex.y - height / 2.0f;
halfA.vertices[idx++] = fx2;
halfA.vertices[idx++] = fy2;
halfA.vertices[idx++] = Color.WHITE_FLOAT_BITS;
halfA.vertices[idx++] = vertex.x;
halfA.vertices[idx++] = 1.0f - vertex.y;
}
idx = 0;
for(int j = 0; j < 4; ++j) {
Vector2 vertex = nv.get((lastIndex + j) % nv.size);
float width = source.getWidth();
float height = source.getWidth();
float fx2 = position.x + width * vertex.x - width / 2.0f;
float fy2 = position.y + height * vertex.y - height / 2.0f;
halfB.vertices[idx++] = fx2;
halfB.vertices[idx++] = fy2;
halfB.vertices[idx++] = Color.WHITE_FLOAT_BITS;
halfB.vertices[idx++] = vertex.x;
halfB.vertices[idx++] = 1.0f - vertex.y;
}
}
public void render(SpriteBatch batch) {
float dx = driftDirection.x * drift;
float dy = driftDirection.y * drift;
halfA.translate(dx, dy);
halfB.translate(-dx, -dy);
batch.draw(source, halfA.vertices, 0, 20);
batch.draw(source, halfB.vertices, 0, 20);
halfA.translate(-dx, -dy);
halfB.translate(dx, dy);
}
}
@Override
public void create () {
float aspectRatio = (float)Gdx.graphics.getHeight()/(float)Gdx.graphics.getWidth();
camera = new OrthographicCamera(800, 800 * aspectRatio);
camera.position.set(camera.viewportWidth / 2.0f, camera.viewportHeight / 2.0f, 0.0f);
batch = new SpriteBatch();
texture = new Texture(Gdx.files.internal("badlogic.jpg"));
Gdx.gl.glCullFace(0);
cutTexture = new CutTexture();
cutTexture.position.set(camera.viewportWidth / 2.0f, camera.viewportHeight / 2.0f);
cutTexture.source = texture;
cutTexture.cut(0);
}
float[] cutAngles = new float[] { 0.0f, -22.5f, -45.0f, -12.0f, -75.0f, -90.0f};
int ai = 0;
@Override
public void render () {
if (Gdx.input.isKeyJustPressed(Input.Keys.SPACE))
{
cutTexture.drift = 0.0f;
cutTexture.cut(cutAngles[(ai++) % cutAngles.length]);
}
cutTexture.drift -= 64.0f * Gdx.graphics.getDeltaTime();
Gdx.gl.glClearColor(0.6f, 0.6f, 1.0f, 1);
Gdx.gl.glClear(GL20.GL_COLOR_BUFFER_BIT);
Gdx.gl.glCullFace(GL20.GL_NONE);
camera.update();
batch.setProjectionMatrix(camera.combined);
batch.begin();
cutTexture.render(batch);
batch.end();
}
}
