public class TestPixMap implements Screen {

    private float upp;
    private float pmWidth;      //  ширина пиксмапа
    private float pmHeight;     //  высота пиксмапа
    private float pmXinScreen;  //  координат X расположения пиксмапа на экране
    private float pmYinScreen;  //  координат Y расположения пиксмапа на экране
    private int pmSize;         //  размер пиксмапа на экране (width & height)
    private float screenWidth;
    private float screenHeight;
    private Vector2 screenClick;
    private Vector2 pmClick;
    private Pixmap pixmap;
    private Texture texture;

    private SpriteBatch batch;

    @Override
    public void show() {
        screenClick = new Vector2();
        pmClick = new Vector2();
        batch = new SpriteBatch();
        screenWidth = Gdx.graphics.getWidth();
        screenHeight = Gdx.graphics.getHeight();
        pmWidth = 256;
        pmHeight = 256;
        pmXinScreen = 194;
        pmYinScreen = 206;
        pmSize = 111;
        pixmap = new Pixmap((int) pmWidth, (int) pmHeight, Pixmap.Format.RGBA8888);
        pixmap.setColor(Color.ORANGE);
        pixmap.fill();
        texture = new Texture(pixmap);
    }

    @Override
    public void render(float delta) {
        Gdx.gl20.glClear(GL20.GL_COLOR_BUFFER_BIT);
        update();
        batch.begin();
        batch.draw(texture, pmXinScreen, pmYinScreen, pmSize, pmSize);
        batch.end();
    }

    private void update() {
        upp = screenWidth < screenHeight ? pmWidth / pmSize : pmHeight / pmSize;
        listener();
        drawInPm();
    }

    private void drawInPm() {
        pixmap.setColor(Color.GREEN);
        pixmap.fillCircle((int) pmClick.x, (int) pmClick.y, 4);
        texture.draw(pixmap, 0, 0);
    }

    private void listener() {
        float screenX = Gdx.input.getX();
        float screenY = screenHeight - Gdx.input.getY();
        screenClick.set(screenX, screenY);
        float pmX = (screenX - pmXinScreen) * upp;
        float pmY = pmHeight - (screenY - pmYinScreen) * upp;
        pmClick.set(pmX, pmY);
        System.out.print(upp);
        System.out.println(pmClick);
    }

    @Override
    public void resize(int width, int height) {

    }

    @Override
    public void pause() {

    }

    @Override
    public void resume() {

    }

    @Override
    public void hide() {

    }

    @Override
    public void dispose() {

    }
}