您将如何对两个矩阵的位置进行插值？

Question

在我的代码中，我使用以下代码创建了 2 个矩阵来存储有关两个不同网格的信息：

Mesh mesh;
MeshFilter filter;

public SphereMesh SphereMesh;
public CubeMesh CubeMesh;

public Material pointMaterial;
public Mesh pointMesh;

public List<Matrix4x4> matrices1 = new List<Matrix4x4>();
public List<Matrix4x4> matrices2 = new List<Matrix4x4>();

[Space]
public float normalOffset = 0f;
public float globalScale = 0.1f;
public Vector3 scale = Vector3.one;

public int matricesNumber = 1; //determines which matrices to store info in

public void StorePoints()
{
    Vector3[] vertices = mesh.vertices;
    Vector3[] normals = mesh.normals;
    Vector3 scaleVector = scale * globalScale;

    // Initialize chunk indexes.
    int startIndex = 0;
    int endIndex = Mathf.Min(1023, mesh.vertexCount);
    int pointCount = 0;

    while (pointCount < mesh.vertexCount)
    {
        // Create points for the current chunk.
        for (int i = startIndex; i < endIndex; i++)
        {
            var position = transform.position + transform.rotation * vertices[i] + transform.rotation * (normals[i].normalized * normalOffset);
            var rotation = Quaternion.identity;
            pointCount++;

            if (matricesNumber == 1)
            {
                matrices1.Add(Matrix4x4.TRS(position, rotation, scaleVector));
            }

            if (matricesNumber == 2)
            {
                matrices2.Add(Matrix4x4.TRS(position, rotation, scaleVector));
            }
            rotation = transform.rotation * Quaternion.LookRotation(normals[i]);
        }

        // Modify start and end index to the range of the next chunk.
        startIndex = endIndex;
        endIndex = Mathf.Min(startIndex + 1023, mesh.vertexCount);
    }
}

游戏对象以立方体网格开始，此代码将有关网格的信息存储在 matrices1 中。在代码未显示的其他地方，我有它以便 Mesh 更改为 Sphere 然后将 matricesnumber 更改为 2，然后触发上面的代码以将新 Sphere 网格的信息存储在 matrices2.

这似乎有效，因为我可以使用像 Graphics.DrawMesh(pointMesh, matrices1[i], pointMaterial, 0); 这样的代码为立方体网格的每个顶点绘制 1 个网格。我可以使用同一条线（但使用 matrices2[i]）为 Sphere 网格的每个顶点绘制 1 个网格。

问题：如何在屏幕上为立方体网格的每个顶点绘制网格（信息存储在 matrices1），然后制作这些顶点网格Lerp 进入球体网格（信息存储在 matrices2）顶点的位置？

我正在尝试用

之类的东西来破解它

float t = Mathf.Clamp((Time.time % 2f) / 2f, 0f, 1f);
matrices1.position.Lerp(matrices1.position, matrices2.position, t);

但显然这是无效代码。可能的解决方案是什么？谢谢。

Answer 1

Matrix4x4通常只在特殊情况下使用，直接计算变换矩阵。

You rarely use matrices in scripts; most often using Vector3s, Quaternions and functionality of Transform class is more straightforward. Plain matrices are used in special cases like setting up nonstandard camera projection.

在你的情况下，在我看来你实际上只需要以某种方式存储和访问 position、rotation 和 scale.

我建议完全不要使用 Matrix4x4，而是使用一些简单的东西，例如

// The Serializable makes them actually appear in the Inspector
// which might be very helpful in you case
[Serializable]
public class TransformData 
{ 
    public Vector3 position;
    public Quaternion rotation; 
    public Vector3 scale; 
}

然后

public List<TransformData> matrices1 = new List<TransformData>();
public List<TransformData> matrices2 = new List<TransformData>();

你可以简单地 lerp over

var lerpedPosition = Vector3.Lerp(matrices1[index].position, matrices2[index].position, lerpFactor);

如果您需要它作为 Matrix4x4，您仍然可以创建它 ad-hoc，例如

var lerpedMatrix = Matrix4x4.Translation(lerpedPosition);

或者您希望使用这些值。

您将如何对两个矩阵的位置进行插值？

How would you lerp the positions of two matrices?

c#

mesh

vertices

unity3d

lerp