この行列の逆行列 (Read Only)
逆行列は元の行列を掛けた場合、結果は
identity 行列になります。
いくつかの行列を特定の方法でベクトルを変換する場合、
逆行列は戻ってそれらを変換することができます。たとえば、
変換の worldToLocalMatrix と localToWorldMatrix は
互いに逆行列です。
// Stretch a mesh at an arbitrary angle around the X axis. // Angle and amount of stretching. var rotAngle: float; var stretch: float; private var mf: MeshFilter; private var origVerts: Vector3[]; private var newVerts: Vector3[]; function Start () { // Get the Mesh Filter component, save its original vertices // and make a new vertex array for processing. mf = GetComponent.<MeshFilter>(); origVerts = mf.mesh.vertices; newVerts = new Vector3[origVerts.Length]; } function Update () { // Create a rotation matrix from a Quaternion. var rot = Quaternion.Euler(rotAngle, 0, 0); var m = Matrix4x4.TRS(Vector3.zero, rot, Vector3.one); // Get the inverse of the matrix (ie, to undo the rotation). var inv = m.inverse; // For each vertex... for (var i = 0; i < origVerts.Length; i++) { // Rotate the vertex and scale it along its new Y axis. var pt = m.MultiplyPoint3x4(origVerts[i]); pt.y *= stretch; // Return the vertex to its original rotation (but with the // scaling still applied). newVerts[i] = inv.MultiplyPoint3x4(pt); } // Copy the transformed vertices back to the mesh. mf.mesh.vertices = newVerts; }
using UnityEngine; using System.Collections;
public class ExampleClass : MonoBehaviour { public float rotAngle; public float stretch; private MeshFilter mf; private Vector3[] origVerts; private Vector3[] newVerts; void Start() { mf = GetComponent<MeshFilter>(); origVerts = mf.mesh.vertices; newVerts = new Vector3[origVerts.Length]; } void Update() { Quaternion rot = Quaternion.Euler(rotAngle, 0, 0); Matrix4x4 m = Matrix4x4.TRS(Vector3.zero, rot, Vector3.one); Matrix4x4 inv = m.inverse; int i = 0; while (i < origVerts.Length) { Vector3 pt = m.MultiplyPoint3x4(origVerts[i]); pt.y *= stretch; newVerts[i] = inv.MultiplyPoint3x4(pt); i++; } mf.mesh.vertices = newVerts; } }