// N차원 베지어 곡선 계산
public void nextBezierN() {
int k, kn, nn, nkn;
double blend, muk, munk;
int n = arrPn.length - 1;
initResultPoint();
muk = 1;
munk = Math.pow(1 - mu, (double) n);
for (k = 0; k <= n; k++) {
nn = n;
kn = k;
nkn = n - k;
blend = muk * munk;
muk *= mu;
munk /= (1 - mu);
while (nn >= 1) {
blend *= nn;
nn--;
if (kn > 1) {
blend /= (double) kn;
kn--;
}
if (nkn > 1) {
blend /= (double) nkn;
nkn--;
}
}
resultPoint.x += arrPn[k].x * blend;
resultPoint.y += arrPn[k].y * blend;
resultPoint.z += arrPn[k].z * blend;
}
}
// 3차원 베지어 곡선 계산
public void nextBezier3() {
double mum1, mum12, mu2;
initResultPoint();
mu2 = mu * mu;
mum1 = 1 - mu;
mum12 = mum1 * mum1;
resultPoint.x = p1.x * mum12 + 2 * p2.x * mum1 * mu + p3.x * mu2;
resultPoint.y = p1.y * mum12 + 2 * p2.y * mum1 * mu + p3.y * mu2;
resultPoint.z = p1.z * mum12 + 2 * p2.z * mum1 * mu + p3.z * mu2;
}
// 4차원 베지어 곡선 계산
public void nextBezier4() {
double mum1, mum13, mu3;
initResultPoint();
mum1 = 1 - mu;
mum13 = mum1 * mum1 * mum1;
mu3 = mu * mu * mu;
resultPoint.x =
mum13 * p1.x + 3 * mu * mum1 * mum1 * p2.x + 3 * mu * mu * mum1 * p3.x + mu3 * p4.x;
resultPoint.y =
mum13 * p1.y + 3 * mu * mum1 * mum1 * p2.y + 3 * mu * mu * mum1 * p3.y + mu3 * p4.y;
resultPoint.z =
mum13 * p1.z + 3 * mu * mum1 * mum1 * p2.z + 3 * mu * mu * mum1 * p3.z + mu3 * p4.z;
}
public void initResultPoint() {
resultPoint.x = 0.0;
resultPoint.y = 0.0;
resultPoint.z = 0.0;
}