Xyz坐标系任意两个面之间投影转换方法

 

using Autodesk.AutoCAD.Geometry; // 使用 AutoCAD 的几何库

public static class CoordinateProjection
{
    /// <summary>
    /// 在 AutoCAD 中实现 XY→XZ 平面坐标转换
    /// </summary>
    public static Point3d ProjectBetweenStandardPlanes(Point3d point, string fromPlane, string toPlane)
    {
        switch (fromPlane.ToUpper() + "_" + toPlane.ToUpper())
        {
            case "XY_XZ": return new Point3d(point.X, point.Z, point.Y); // (1,1,0) → (1,0,1)
            case "XY_YZ": return new Point3d(point.Z, point.Y, -point.X);
            case "XZ_XY": return new Point3d(point.X, point.Z, point.Y);
            case "XZ_YZ": return new Point3d(point.Z, point.X, point.Y);
            case "YZ_XY": return new Point3d(-point.Z, point.Y, point.X);
            case "YZ_XZ": return new Point3d(point.Y, point.X, point.Z);
            default: return point;
        }
    }
}

Point3d pointInXY = new Point3d(1, 1, 0);
Point3d pointInXZ = CoordinateProjection.ProjectBetweenStandardPlanes(pointInXY, "XY", "XZ");
Editor ed = Application.DocumentManager.MdiActiveDocument.Editor;
ed.WriteMessage($"转换结果: {pointInXZ}\n"); // 输出 (1, 0, 1)

 

public static Point3d TransformPoint(Point3d point, Vector3d newX, Vector3d newY, Vector3d newZ, Point3d origin)
{
    // 构建变换矩阵
    Matrix3d mat = Matrix3d.AlignCoordinateSystem(
        Point3d.Origin, Vector3d.XAxis, Vector3d.YAxis, Vector3d.ZAxis, // 原坐标系
        origin, newX, newY, newZ // 新坐标系
    );
    return point.TransformBy(mat);
}

// 示例：XY → XZ 转换
Point3d pointInXY = new Point3d(1, 1, 0);
Point3d pointInXZ = TransformPoint(
    pointInXY,
    Vector3d.XAxis,  // 新 X 轴 = 原 X 轴
    Vector3d.ZAxis,  // 新 Y 轴 = 原 Z 轴
    -Vector3d.YAxis, // 新 Z 轴 = -原 Y 轴
    Point3d.Origin
);
// 结果: (1, 0, 1)

 

 

 

 

 

## **方案 2：在非 Revit 环境（如控制台应用）**

如果 **没有 Revit**，可以用 `System.Numerics.Vector3`（需要安装 NuGet 包）：

### **步骤 1：安装 NuGet 包**

```bash

Install-Package System.Numerics

XYZ pointInXY = new XYZ(1, 1, 0);
XYZ pointInXZ = CoordinateProjection.ProjectBetweenStandardPlanes(pointInXY, "XY", "XZ");
// 结果将是 (1, 0, 1)

 

public static XYZ ProjectBetweenStandardPlanes(XYZ point, string fromPlane, string toPlane)

 

{

    // 设置默认基向量

    XYZ fromX = XYZ.BasisX, fromY = XYZ.BasisY, fromZ = XYZ.BasisZ;

    XYZ toX = XYZ.BasisX, toY = XYZ.BasisY, toZ = XYZ.BasisZ;

    

    switch (fromPlane.ToUpper() + "_" + toPlane.ToUpper())

    {

        case "XY_XZ":

            // XY → XZ: (x,y,z) → (x,z,y)

            return new XYZ(point.X, point.Z, point.Y);

            

        case "XY_YZ":

            // XY → YZ: (x,y,z) → (z,y,-x)

            return new XYZ(point.Z, point.Y, -point.X);

            

        case "XZ_XY":

            // XZ → XY: (x,y,z) → (x,z,y)

            return new XYZ(point.X, point.Z, point.Y);

            

        case "XZ_YZ":

            // XZ → YZ: (x,y,z) → (z,x,y)

            return new XYZ(point.Z, point.X, point.Y);

            

        case "YZ_XY":

            // YZ → XY: (x,y,z) → (-z,y,x)

            return new XYZ(-point.Z, point.Y, point.X);

            

        case "YZ_XZ":

            // YZ → XZ: (x,y,z) → (y,x,z)

            return new XYZ(point.Y, point.X, point.Z);

            

        default:

            return point; // 相同平面不转换

    }

}