如何使用Brep对象的一个面将其平行对齐到XY、XZ或YZ平面？

Question

我尝试了几种可能的方法，但是我不能做对。在SelectionChanged上，我从选定的面创建plane。这很好，我可以正确地获取plane。

                    var item = e.AddedItems[0];
                    if (item is Model.SelectedFace)
                    {
                        var faceItem = ((Model.SelectedFace)item);
                        var ent = faceItem.Item;
                          if (ent is Brep)
                          {
                            var sol = (Brep)ent;
                            if (faceItem.ShellIndex == 0)
                            {
                                var mesh = sol.Faces[faceItem.Index].ConvertToMesh();
                                var plane = new Plane(mesh.Vertices[0], mesh.Vertices[1], mesh.Vertices[2]);
                            }
                          }
                    }

正确计算出所选面的plane和Plane.XY, Plane.XZ, & Plane.YZ之间的xyTheta, xzTheta, and yzTheta。对于这个问题，我只显示如下所示的xyTheta (我已经尝试在Transformation Matrix中使用它，但它也不能很好地工作。因此，它的目的只是让我检查两个平面之间的角度是否正确。

   var x0 = plane.Equation.X; var y0 = plane.Equation.Y; var z0 = plane.Equation.Z;
   var x1 = Plane.XY.Equation.X; var y1 = Plane.XY.Equation.Y; var z1 = Plane.XY.Equation.Z;

   xyTheta = Math.Acos(Math.Abs(x0 * x1 + y0 * y1 + z0 * z1)
                  / (Math.Sqrt(x0 * x0 + y0 * y0 + z0 * z0)
                  * Math.Sqrt(x1 * x1 + y1 * y1 + z1 * z1)));

我的转换transXY只能正确地执行Translation，而不能正确执行Rotation。例如，在转换之后，我的对象仍然在plane和Plane.XY之间有10度的差异，尽管它被移动了。

       transXY = new Transformation();
       transXY.Rotation(plane, Plane.XY);
       // transXZ = new Align3D(plane, Plane.XZ);

        foreach (Entity ent in theModel.Entities)
        {
            ent.TransformBy(transXY);
        }

Answer 1

plane.AxisX，Y，Z似乎对变换矩阵起作用。**你的BREP必须转换回原点才能工作，因此需要通过与前一个相反的方式将其转换回原点。

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;
using devDept.Eyeshot;
using devDept.Eyeshot.Entities;
using devDept.Geometry;

namespace EyeshotTest
{
    public partial class Form1 : Form
    {
        public Form1()
        {
            InitializeComponent();
            makeSquare();
        }
        Solid3D square, square2;
        Transformation trans2 = new Transformation(1);
        int i = 0;

        private void timer1_Tick(object sender, EventArgs e)
        {
            Mesh faceMesh = square2.Faces[i].ConvertToMesh();
            var plane = new Plane(faceMesh.Vertices[0], faceMesh.Vertices[1], faceMesh.Vertices[2]);

            Point3D origin = plane.Origin;
            Vector3D xVec = plane.AxisX;
            Vector3D yVec = plane.AxisY;
            Vector3D zVec = plane.AxisZ;

            trans2.Invert();

            square.TransformBy(trans2);

            trans2 = new Transformation(origin, xVec, yVec, zVec);

            square.TransformBy(trans2);

            viewportLayout1.Entities.Regen();
            viewportLayout1.Invalidate();

            i++;
            if(i == 4) { i = 0; }
        }

        private void makeSquare()
        {
            square = Solid3D.CreateBox(5, 5, 5, 0.01);
            square2 = Solid3D.CreateBox(5, 5, 5, 0.01);

            viewportLayout1.Entities.Add(square, Color.Green);
            viewportLayout1.Entities.Add(square2, Color.FromArgb(75, Color.Blue));

            Transformation trans = new Transformation(new double[,]{
                {-0.17,0.67,0.72, 47.33 },
                {0.28,-0.67,0.69, 10.24 },
                {0.95,0.32,-0.07, 15.98 },
                {0,0,0,1 } });

            square2.TransformBy(trans);

            viewportLayout1.Invalidate();           
        }
    }
}

干杯!

Answer 2

现在行不行？

Ent.TransformBy(转换)；这是错误的。

ent.TransformBy(transXY)；如果其他方面都没问题，这是正确的。

问候