/// <summary>
/// 曲線 位置ベクトル
/// </summary>
/// <param name="t">パラメータ</param>
/// <param name="dimension">(true, false) = (normal, 一階微分)</param>
/// <returns></returns>
public Vector3 PosiLine(float t, bool dimension)
{
Bernstein bt = new Bernstein();
if (dimension)
{
bt.Init(t);
}
else
{
bt.dInit(t);
}
Matrix4 cr_t = new Matrix4();
Matrix4 cp = new Matrix4();
Matrix4 tmp = new Matrix4();
Vector3 Pt = new Vector3();
for (int i = 0; i < 4; i++)
{
cr_t[0, i] = bt.b[i];
}
// x
for (int i = 0; i < 4; i++)
{
cp[i, 0] = ctrlpline[i].X;
}
tmp = cr_t * cp;
Pt.X = tmp[0, 0];
// y
for (int i = 0; i < 4; i++)
{
cp[i, 0] = ctrlpline[i].Y;
}
tmp = cr_t * cp;
Pt.Y = tmp[0, 0];
// z
for (int i = 0; i < 4; i++)
{
cp[i, 0] = ctrlpline[i].Z;
}
tmp = cr_t * cp;
Pt.Z = tmp[0, 0];
return(Pt);
}
/// <summary>
/// 曲面 位置ベクトル
/// </summary>
/// <param name="u">U方向のパラメータ</param>
/// <param name="v">V方向のパラメータ</param>
/// <param name="mode">モード(0, 1, 2) = (null, u, v)</param>
/// <returns></returns>
public Vector3 PosiCurve(float u, float v, int mode)
{
Bernstein bu = new Bernstein();
Bernstein bv = new Bernstein();
if (mode == 1)
{
bu.dInit(u);
bv.Init(v);
}
else if (mode == 2)
{
bu.Init(u);
bv.dInit(v);
}
else
{
bu.Init(u);
bv.Init(v);
}
Matrix4 cr_u = new Matrix4();
Matrix4 cr_v = new Matrix4();
Matrix4 cp = new Matrix4();
Matrix4 tmp = new Matrix4();
Vector3 Pt = new Vector3();
for (int i = 0; i < 4; i++)
{
cr_u[0, i] = bu.b[i];
cr_v[i, 0] = bv.b[i];
}
// x
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
cp[i, j] = ctrlpcurve[i][j].X;
}
}
tmp = cr_u * cp;
tmp = tmp * cr_v;
Pt.X = tmp[0, 0];
// y
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
cp[i, j] = ctrlpcurve[i][j].Y;
}
}
tmp = cr_u * cp;
tmp = tmp * cr_v;
Pt.Y = tmp[0, 0];
// z
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
cp[i, j] = ctrlpcurve[i][j].Z;
}
}
tmp = cr_u * cp;
tmp = tmp * cr_v;
Pt.Z = tmp[0, 0];
return(Pt);
}