Exemple #1
0
        /// <summary>
        /// 计算三面相交点
        /// </summary>
        /// <param name="flat1"></param>
        /// <param name="flat2"></param>
        /// <param name="flat3"></param>
        /// <returns></returns>
        public static Point3D?get3FlatCrossPoint(DotNormal flat1, DotNormal flat2, DotNormal flat3)
        {
            DotNormal?cline = getFlatXFlat(flat1, flat2);

            if (cline == null)
            {
                return(null);
            }

            return(getFlatXLine(flat3, (DotNormal)cline));
        }
Exemple #2
0
        /// <summary>
        /// 求面面相交的线
        /// </summary>
        /// <param name="flat1">平面一</param>
        /// <param name="flat2">平面二</param>
        /// <returns>返回相交线,若为null表示平行或重合</returns>
        public static DotNormal?getFlatXFlat(DotNormal flat1, DotNormal flat2)
        {
            Vector3D dir = Vector3D.CrossProduct(flat1.normal, flat2.normal);

            if (dir == new Vector3D(0, 0, 0))
            {
                return(null);
            }
            //通过求两个平面中某个面A法向量和步骤一求得的方向向量的叉积,可以求得该直线在这个平面A内的法线向量L;
            //然后,求以平面原点为起点、以法线向量L为方向的射线与另一个平面B的交点,此交点就是直线上的一个点。
            Vector3D vinflat = Vector3D.CrossProduct(dir, flat1.normal);
            Point3D? px      = getFlatXLine(flat2, new DotNormal(flat1.point, vinflat));

            if (px == null)
            {
                return(null);
            }

            return(new DotNormal((Point3D)px, dir));
        }
Exemple #3
0
        /// <summary>
        /// 求面与线的交点
        /// </summary>
        /// <param name="flat">平面</param>
        /// <param name="line">线</param>
        /// <returns>返回相交点,若为null表示平行,或线在面上</returns>
        public static Nullable <Point3D> getFlatXLine(DotNormal flat, DotNormal line)
        {
            Nullable <Point3D> result = null;

            /*
             *  设    Pt = P1 + t(P2 ‐P1);现在求取参数t的大小;
             *  因为Pt也是平面上的顶点,则矢量Pt Pon与法向量的点乘为0,可列方程:
             *               (Pt ‐Pon) • N = 0;
             *               (P1 ‐Pon)• N + t(P2 ‐P1)• N = 0;
             *               则 t = ‐(P1 ‐Pon)• N /(P2 ‐P1)• N;
             */
            double t;

            line.normal.Normalize();
            Point3D p2 = line.point;
            Point3D p1 = p2 + line.normal;

            if (Vector3D.DotProduct((p1 - flat.point), flat.normal) != 0 && Vector3D.DotProduct((p2 - p1), flat.normal) != 0) //不平行,不在面上
            {
                t      = -Vector3D.DotProduct((p1 - flat.point), flat.normal) / Vector3D.DotProduct((p2 - p1), flat.normal);
                result = p1 + t * (p2 - p1);
            }
            return(result);
        }