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  • 矩阵缩放和投影

    缩放在目前代码只有3D的,2D自己想想(╯▽╰)吧

    投影矩阵公式: 3D

    wps65B.tmp

    using System;
    using System.Collections.Generic;
    using System.Linq;
    using System.Text;
    using System.Threading.Tasks;
    
    namespace ConsoleApplication6
    {
        class Matrix3x3 
        {
            public double m11, m12, m13;
            public double m21, m22, m23;
            public double m31, m32, m33;
    
    
            #region 缩放
            public static Matrix3x3 setUpScale(float Kx, float Ky, float Kz)
            {
                Matrix3x3 m = new Matrix3x3();
                m.m11 = Kx; m.m12 = 0; m.m13 = 0;
                m.m11 = 0; m.m12 = Ky; m.m13 = 0;
                m.m11 = 0; m.m12 = 0; m.m13 = Kz;
                return m;
            }
    
            public static Matrix3x3 setUpScale(Vector3 v)
            {
                Matrix3x3 m = new Matrix3x3();
                m.m11 = v.x; m.m12 = 0; m.m13 = 0;
                m.m11 = 0; m.m12 = v.y; m.m13 = 0;
                m.m11 = 0; m.m12 = 0; m.m13 = v.z;
                return m;
            }
            #endregion
    
            #region 正交投影
    
            /// <summary>
            /// 投影到xy,xz,yz其中一个平面
            /// </summary>
            /// <param name="axis">1=xy,2=xz,3=yz</param>
            public void setUpProject(int axis) 
            {
                switch (axis)
                {
                    case 1:
                        //xy平面
                           m11 = 1; m12 = 0; m13 =0;
                        m21 = 0; m22 = 1; m23 =0;
                        m31 = 0; m32 = 0; m33 =0;
                        break;
                    case 2:
                        //xz平面
                            m11 = 1; m12 = 0; m13 =0;
                        m21 = 0; m22 = 0; m23 =0;
                        m31 = 0; m32 = 0; m33 =1;
                        break;
                    case 3:
                        //yz平面
                           m11 = 0; m12 = 0; m13 =0;
                        m21 = 0; m22 = 1; m23 =0;
                        m31 = 0; m32 = 0; m33 =1;
                        break;
                }
            }
    
            //投影到任意一个平面
            public void setUpProject(Vector3 v) 
            {
                m11 = 1 - v.x * v.x;
                m22 = 1 - v.y * v.y;
                m33 = 1 - v.z * v.z;
    
                m12 = m21 = -v.x * v.y;
                m13 = m31 = -v.x * v.z;
                m23 = m32 = -v.y * v.z;
            }
            #endregion
        }
    
        class Vector3 
        {
            public double x, y, z;
    
            public Vector3(double x, double y, double z) 
            {
                this.x = x;
                this.y = y;
                this.z = z;
            }
    
            public override string ToString()
            {
                return string.Format("{0} {1} {2}", x, y, z);
            }
        }
                                                                    
    }
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  • 原文地址:https://www.cnblogs.com/plateFace/p/4458527.html
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