/**
* Metoda vraca 3D koordinate tocke u promatranoj ravnini
*
* @param horizontal sirina promatranog prostora
* @param vertical visina promatranog prostora
* @param width sirina promatrane ravnine, u pikselima
* @param height visina promatrane ravnine, u pikselima
* @param x x-koordinata tocke, u pikselima
* @param y y-koordinata tocke, u pikselima
* @param i jedinicni vektor u smjeru x
* @param j jedinicni vektor u smjeru y
* @param corner gornji lijevi kut ravnine
* @return Point3D, koordinate tocke promatrane ravnine u prostoru
*/
public static Point3D getScreenPoint(
double horizontal,
double vertical,
int width,
int height,
int x,
int y,
Point3D i,
Point3D j,
Point3D corner) {
return corner
.add(i.scalarMultiply(x / (width - 1.0) * horizontal))
.sub(j.negate().scalarMultiply(y / (height - 1.0) * vertical));
}
/**
* Metoda vraca 3D koordinate lijevog gornjeg kuta pravokutnika u promatranoj ravnini opisanoj u
* zadatku domace zadace
*
* @param view promatrana tocka
* @param xAxis jedinicni vektor u smjeru x osi
* @param yAxis jedinicni vektor u smjeru y osi
* @param horizontal sirina promatranog prostora
* @param vertical visina promatranog prostora
* @return koordinate lijevog gornjeg kuta
*/
public static Point3D getCorner(
Point3D xAxis, Point3D yAxis, Point3D view, double horizontal, double vertical) {
return view.sub(xAxis.scalarMultiply(horizontal / 2)).add(yAxis.scalarMultiply(vertical / 2));
}
/**
* Metoda vraca vektor i - jedinicni vektor u smjeru x osi
*
* @param eye pozicija oka promatraca
* @param view promatrana tocka
* @param zAxis Z-os, jedinicni vektor
* @param viewUp view-up vektor koji se koristi za izracunavanje y osi
* @return jedinicni vektor u smjeru Y osi
*/
public static Point3D getYAxis(Point3D zAxis, Point3D eye, Point3D view, Point3D viewUp) {
return viewUp.sub(zAxis.scalarMultiply(viewUp.scalarProduct(zAxis))).normalize();
}
/**
* Metoda vraca vektor z - jedinicni vektor u smjeru Z osi
*
* @param eye pozicija oka promatraca
* @param view promatrana tocka
* @return jedinicni vektor u smjeru Z osi
*/
public static Point3D getZAxis(Point3D eye, Point3D view) {
return view.sub(eye).modifyNormalize();
}
/**
* Metoda vraca vektor i - jedinicni vektor u smjeru x osi
*
* @param eye pozicija oka promatraca
* @param view promatrana tocka
* @param yAxis Y-os, jedinicni vektor
* @param zAxis Z-os, jedinicni vektor
* @param viewUp view-up vektor koji se koristi za izracunavanje y osi
* @return jedinicni vektor u smjeru X osi
*/
public static Point3D getXAxis(
Point3D yAxis, Point3D zAxis, Point3D eye, Point3D view, Point3D viewUp) {
return zAxis.vectorProduct(yAxis).normalize();
}