From 129e1db990af372f522cda6b4ed03333cd051b6c Mon Sep 17 00:00:00 2001 From: Chris Cheng Date: Sun, 14 May 2023 18:46:25 +0800 Subject: [PATCH] =?UTF-8?q?=E5=AE=8C=E6=88=90=E9=AA=A8=E9=AA=BC=E5=8A=A8?= =?UTF-8?q?=E7=94=BB=E7=BF=BB=E8=AF=91=20(#270)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit * Finish translation of skeletal animation * images part 1 * images part 2 * Update 04 Skeletal Animation.md * Update docs/03 Model Loading/04 Skeletal Animation.md * Update 04 Skeletal Animation.md * Update mkdocs.yml * Rename docs/03 Model Loading/04 Skeletal Animation.md to docs/08 Guest Articles/2020/01 Skeletal Animation.md Change the path of the article * Update mkdocs.yml * Changed the path of the image * Fix the path of images --------- Co-authored-by: Gary Wang --- .../2020/01 Skeletal Animation.md | 780 ++++++++++++++++++ docs/img/08/01/assimp1.jpeg | Bin 0 -> 51568 bytes docs/img/08/01/assimp2.jpeg | Bin 0 -> 41426 bytes 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mode 100644 docs/img/08/01/merged.png create mode 100644 docs/img/08/01/mesh_space.png create mode 100644 docs/img/08/01/output.gif create mode 100644 docs/img/08/01/parent_child.png create mode 100644 docs/img/08/01/poses.gif create mode 100644 docs/img/08/01/scale_factor.png create mode 100644 docs/img/08/01/skin.png diff --git a/docs/08 Guest Articles/2020/01 Skeletal Animation.md b/docs/08 Guest Articles/2020/01 Skeletal Animation.md new file mode 100644 index 0000000..e9d2ffe --- /dev/null +++ b/docs/08 Guest Articles/2020/01 Skeletal Animation.md @@ -0,0 +1,780 @@ +# 骨骼动画 + +原文 | [Skeletal-Animation](https://learnopengl.com/Guest-Articles/2020/Skeletal-Animation) + ---|--- +作者 | Ankit Singh Kushwah +翻译 | [orbitgw](https://github.com/orbitgw/) +校对 | [orbitgw](https://github.com/orbitgw/) + +3D动画可以让我们的游戏栩栩如生。3D世界中的物体,比如人类和动物,当它们做某些事情移动四肢时,比如走路、跑步和攻击,会使我们感到更生动。本篇教程是关于你们一直在等待的骨骼动画。我们将首先彻底理解这个概念,然后了解使用Assimp制作3D模型动画所需的数据。我建议您完成本教程的[模型加载](../03/01%20Assimp.md)部分,因为本教程代码将从那里继续。你仍然可以理解这个概念,并以自己的方式实现它。所以让我们开始吧。 + +## 插值 +要了解动画是如何工作的基础,我们需要了解插值(Interpolation)的概念。插值可以定义为随着时间的推移而发生的事情。就像敌人在时间T上从A点移动到B点一样,即随着时间的推移发生平移。炮塔平滑旋转以面对目标,即随着时间的推移发生旋转,树在时间T内从尺寸A放大到尺寸B,即随时间推移发生缩放。 + +!!! note "译注" + (动画)插值就是**关键帧**的中间值。比如我们使用Blender制作动画,不需要设置每一帧的骨骼位置,只需要在几个关键帧中记录它们的位置,旋转,缩放等等信息。然后由程序自动计算出的中间的过渡帧就是我们的插值。通常插值可以使用曲线描述,比如我们的贝塞尔曲线。 + +用于平移和缩放的简单插值方程如下所示: + +$$ +a = a \cdot (1 - t) + b \cdot t +$$ + +它被称为线性插值方程或Lerp。对于旋转,我们不能使用向量。原因是,如果我们继续尝试在X(俯仰)、Y(偏航)和Z(滚转)的向量上使用线性插值方程,插值就不会是线性的。你会遇到一些奇怪的问题,比如Gimbal Lock(请参阅下面的参考资料部分了解它)。为了避免这个问题,我们使用四元数进行旋转。四元数提供了一种叫做球面插值或Slerp方程的东西,它给出了与Lerp相同的结果,但对于两个旋转A和B。我无法解释这个方程是如何工作的,因为它目前不在范围内。您可以查看下面的参考资料部分来理解四元数。 + + +## 动画模型的组件:蒙皮、骨骼和关键帧 + +动画的整个过程始于添加第一个组件,即blender或Maya等软件中的蒙皮(Skin)。蒙皮只不过是网格(Mesh),它为模型添加了视觉方面,告诉观察者它的外观。但是,如果你想移动任何网格,那么就像现实世界一样,你需要添加骨骼。你可以看到下面的图片来了解它在blender等软件中的外观。 + +![skin](../img/08/01/skin.png) +![bones](../img/08/01/bones.png) +![skin and bones](../img/08/01/merged.png) + +这些骨头通常是以分层的方式添加给人类和动物等角色的,原因很明显。我们想要四肢之间的父子关系(parent-child relationship)。例如,如果我们移动右肩,那么我们的右二头肌、前臂、手和手指也应该移动。这就是层次结构的样子: + +![parent_child](../img/08/01/parent_child.png) + +在上图中,如果你抓住髋骨(hip bone)并移动它,所有的肢体都会受到它的移动的影响。 + +此时,我们已经准备好为动画创建关键帧了。关键帧是动画中不同时间点的姿势。我们将在这些关键帧之间进行插值,以便在代码中从一个姿势平滑地过渡到另一个姿势。下面您可以看到如何为简单的4帧跳跃动画创建姿势: + +![poses](../img/08/01/poses.gif) +![interpolating](../img/08/01/interpolating.gif) + + +## Assimp如何保存动画数据 +我们马上就会到代码部分,但首先我们需要了解assimp是如何保存导入的动画数据的。看下图: + +![assimp1](../img/08/01/assimp1.jpeg) + + +就像[模型加载](../03/01%20Assimp.md)部分一样,我们将从`aiScene`指针开始,该指针包含指向根节点的指针,然后看看我们这里有什么,一个动画数组。这个`aiAnimation`数组包含一般信息,比如动画的持续时间,这里表示为`mDuration`,然后我们有一个`mTicksPerSecond`变量,它控制我们应该在帧之间插值的速度。如果您还记得上一节中的动画有关键帧。类似地,`aiAnimation`包含一个名为`Channels`的`aiNodeAnim`数组。此数组包含将要参与动画的所有骨骼及其关键帧。一个`aiNodeAnim`包含骨骼的名称,你会发现在这里插入三种类型的关键点,平移、旋转和缩放。 + +好吧,还有最后一件事我们需要理解,并且很乐意去做的一件事就是写代码。 + + + +## 多个骨骼对顶点的影响 + +当我们弯曲前臂时,我们会看到我们的二头肌弹出。我们也可以说前臂骨骼的变形正在影响我们肱二头肌上的顶点。类似地,可能有多个骨骼影响网格中的单个顶点。对于像固体金属机器人这样的角色,所有前臂顶点都只会受到前臂骨骼的影响,但对于像人类、动物等角色,可能有多达4块骨骼可以影响一个顶点。让我们看看assimp是如何存储这些信息的: + +![assimp2](../img/08/01/assimp2.jpeg) + +我们再次从`aiScene`指针开始,该指针包含所有`aiMeshes`的数组。每个aiMesh对象都有一个`aiBone`数组,其中包含诸如此`aiBone`将对网格上的顶点集产生多大影响之类的信息。`aiBone`包含骨骼的名称,这是一个`aiVertexWeight`数组,基本上告诉此`aiBone`对网格上的顶点有多大影响。现在我们有了`aiBone`的另一个成员,它是`offsetMatrix`。这是一个4x4矩阵,用于将顶点从模型空间转换到骨骼空间。你可以在下面的图片中看到这一点: + +![mesh_space](../img/08/01/mesh_space.png) +![bone_space](../img/08/01/bone_space.png) + +当顶点位于骨骼空间中时,它们将按照预期相对于骨骼进行变换。您很快就会在代码中看到这一点。 + +## 最后让我们写代码 +谢谢你走到这一步。我们将从直接查看最终结果开始,这是我们的最终顶点着色器代码。这将给我们很好的感觉,我们最终需要什么。 + +```c++ +#version 430 core + +layout(location = 0) in vec3 pos; +layout(location = 1) in vec3 norm; +layout(location = 2) in vec2 tex; +layout(location = 5) in ivec4 boneIds; +layout(location = 6) in vec4 weights; + +uniform mat4 projection; +uniform mat4 view; +uniform mat4 model; + +const int MAX_BONES = 100; +const int MAX_BONE_INFLUENCE = 4; +uniform mat4 finalBonesMatrices[MAX_BONES]; + +out vec2 TexCoords; + +void main() +{ + vec4 totalPosition = vec4(0.0f); + for(int i = 0 ; i < MAX_BONE_INFLUENCE ; i++) + { + if(boneIds[i] == -1) + continue; + if(boneIds[i] >=MAX_BONES) + { + totalPosition = vec4(pos,1.0f); + break; + } + vec4 localPosition = finalBonesMatrices[boneIds[i]] * vec4(pos,1.0f); + totalPosition += localPosition * weights[i]; + vec3 localNormal = mat3(finalBonesMatrices[boneIds[i]]) * norm; + } + + mat4 viewModel = view * model; + gl_Position = projection * viewModel * totalPosition; + TexCoords = tex; +} +``` + + +片段着色器与[这篇教程](../03/03%20Model.md)中的保持相同。从顶部开始,您可以看到两个新的属性布局声明。第一个骨骼ID,第二个是重量。我们还有一个统一的数组`finalBonesMatrix`,它存储所有骨骼的变换。`boneIds`包含用于读取最终`BonesMatrix`数组并将这些变换应用于pos顶点的索引,其各自的权重存储在权重数组中。这发生在上面循环的内部。现在,让我们先在Mesh类中添加对骨骼重量的支持: + + +```c++ +#define MAX_BONE_INFLUENCE 4 + +struct Vertex { + // position + glm::vec3 Position; + // normal + glm::vec3 Normal; + // texCoords + glm::vec2 TexCoords; + + // tangent + glm::vec3 Tangent; + // bitangent + glm::vec3 Bitangent; + + //bone indexes which will influence this vertex + int m_BoneIDs[MAX_BONE_INFLUENCE]; + //weights from each bone + float m_Weights[MAX_BONE_INFLUENCE]; + +}; +``` +我们为顶点添加了两个新属性,就像我们在顶点着色器中看到的那样。现在,让我们将它们加载到GPU缓冲区中,就像我们的`Mesh::setupMesh`函数中的其他属性一样: +```c++ +class Mesh +{ + ... + + void setupMesh() + { + .... + + // ids + glEnableVertexAttribArray(3); + glVertexAttribIPointer(3, 4, GL_INT, sizeof(Vertex), (void*)offsetof(Vertex, m_BoneIDs)); + + // weights + glEnableVertexAttribArray(4); + glVertexAttribPointer(4, 4, GL_FLOAT, GL_FALSE, sizeof(Vertex), + (void*)offsetof(Vertex, m_Weights)); + + ... + } + ... +} +``` +就像以前一样,只是现在我们为`boneID`和`weights`添加了3个和4个布局位置ID。这里需要注意的一件重要的事情是我们如何传递`boneID`的数据。我们使用的是`glVertexAttribIPointer`,并将`GL_INT`作为第三个参数传递。 + +现在我们可以从assimp数据结构中提取骨骼重量信息。让我们在Model类中进行一些更改: +```c++ +struct BoneInfo +{ + /*id is index in finalBoneMatrices*/ + int id; + + /*offset matrix transforms vertex from model space to bone space*/ + glm::mat4 offset; + +}; +``` +此`BoneInfo`将存储我们的偏移矩阵,以及一个唯一的id,该id将用作索引,将其存储在我们之前在着色器中看到的最终`BoneMatrices`数组中。现在我们将在Model中添加骨量提取支持: + +```c++ +class Model +{ +private: + ... + std::map m_BoneInfoMap; // + int m_BoneCounter = 0; + + auto& GetBoneInfoMap() { return m_BoneInfoMap; } + int& GetBoneCount() { return m_BoneCounter; } + ... + void SetVertexBoneDataToDefault(Vertex& vertex) + { + for (int i = 0; i < MAX_BONE_WEIGHTS; i++) + { + vertex.m_BoneIDs[i] = -1; + vertex.m_Weights[i] = 0.0f; + } + } + + Mesh processMesh(aiMesh* mesh, const aiScene* scene) + { + vector vertices; + vector indices; + vector textures; + + for (unsigned int i = 0; i < mesh->mNumVertices; i++) + { + Vertex vertex; + + SetVertexBoneDataToDefault(vertex); + + vertex.Position = AssimpGLMHelpers::GetGLMVec(mesh->mVertices[i]); + vertex.Normal = AssimpGLMHelpers::GetGLMVec(mesh->mNormals[i]); + + if (mesh->mTextureCoords[0]) + { + glm::vec2 vec; + vec.x = mesh->mTextureCoords[0][i].x; + vec.y = mesh->mTextureCoords[0][i].y; + vertex.TexCoords = vec; + } + else + vertex.TexCoords = glm::vec2(0.0f, 0.0f); + + vertices.push_back(vertex); + } + ... + ExtractBoneWeightForVertices(vertices,mesh,scene); + + return Mesh(vertices, indices, textures); + } + + void SetVertexBoneData(Vertex& vertex, int boneID, float weight) + { + for (int i = 0; i < MAX_BONE_WEIGHTS; ++i) + { + if (vertex.m_BoneIDs[i] < 0) + { + vertex.m_Weights[i] = weight; + vertex.m_BoneIDs[i] = boneID; + break; + } + } + } + + void ExtractBoneWeightForVertices(std::vector& vertices, aiMesh* mesh, const aiScene* scene) + { + for (int boneIndex = 0; boneIndex < mesh->mNumBones; ++boneIndex) + { + int boneID = -1; + std::string boneName = mesh->mBones[boneIndex]->mName.C_Str(); + if (m_BoneInfoMap.find(boneName) == m_BoneInfoMap.end()) + { + BoneInfo newBoneInfo; + newBoneInfo.id = m_BoneCounter; + newBoneInfo.offset = AssimpGLMHelpers::ConvertMatrixToGLMFormat( + mesh->mBones[boneIndex]->mOffsetMatrix); + m_BoneInfoMap[boneName] = newBoneInfo; + boneID = m_BoneCounter; + m_BoneCounter++; + } + else + { + boneID = m_BoneInfoMap[boneName].id; + } + assert(boneID != -1); + auto weights = mesh->mBones[boneIndex]->mWeights; + int numWeights = mesh->mBones[boneIndex]->mNumWeights; + + for (int weightIndex = 0; weightIndex < numWeights; ++weightIndex) + { + int vertexId = weights[weightIndex].mVertexId; + float weight = weights[weightIndex].mWeight; + assert(vertexId <= vertices.size()); + SetVertexBoneData(vertices[vertexId], boneID, weight); + } + } + } + ... +}; +``` +我们首先声明一个映射`m_BoneInfoMap`和一个计数器`m_BoneCounter`,一旦我们读取到一个新的骨骼,它就会增加。我们在前面的图表中看到,每个`aiMesh`都包含与`aiMesh`关联的所有`aiBone`。骨量提取的整个过程都是从`processMesh`函数开始的。对于每个循环迭代,我们通过调用函数`SetVertexBoneDataToDefault`将`m_BoneID`和`m_Weights`设置为其默认值。就在`processMesh`函数结束之前,我们调用`ExtractBoneWeightData`。在`ExtractBoneWeightData`中,我们为每个aiBone运行for循环,并检查该骨骼是否已存在于`m_BoneInfoMap`中。如果我们找不到它,那么它被认为是一块新骨头,我们创建一个带有id的新`BoneInfo`,并将其关联的`mOffsetMatrix`存储到它。然后我们将这个新`BoneIInfo`存储在`m_BoneInfoMap`中,然后我们递增`m_BoneCounter`计数器,为下一块骨头创建一个id。如果我们在`m_BoneInfoMap`中找到骨骼名称,那么这意味着该骨骼会影响超出其范围的网格顶点。所以我们取它的Id,进一步了解它会影响哪些顶点。 + +需要注意的一点是,我们正在调用`AssimpGLMHelpers::ConvertMatrixToGLMFormat`。Assimp以与GLM不同的格式存储其矩阵数据,因此此函数仅为我们提供GLM格式的矩阵。 + +我们已经提取了骨骼的`offsetMatrix`,现在我们将简单地迭代其`aiVertexWeightarray`,提取将受此骨骼影响的所有顶点索引及其各自的权重,并调用`SetVertexBoneData`以使用提取的信息填充`Vertex.boneIds`和`Vertex.weights`。 + +呜!到这里你应当休息一下。 + +## 骨骼、动画和动画制作类 +这是类的视图: + +![bird_eye_view](../img/08/01/bird_eye_view.png) + + +让我们提醒自己我们正在努力实现什么。对于每个渲染帧,我们希望平滑地插值继承中的所有骨骼,并获得它们的最终变换矩阵,这些矩阵将提供给着色器统一的finalBonesMatrix。以下是每个类的内容: + +**Bone** : 从aiNodeAnim读取所有关键帧数据的单个骨骼。它还将根据当前动画时间在关键帧之间进行插值,即平移、缩放和旋转。 + +**AssimpNodeData** : 这个结构体将帮助我们将动画从Assimp提取出来。 + +**Animation** : 从aiAnimation读取数据并创建Bones的继承记录的资源。 + +**Animator** : 这将读取AssimpNodeData的继承方法,以递归方式插入所有骨骼,然后为我们准备所需的最终骨骼转换矩阵。 + +这就是代码: +```c++ +struct KeyPosition +{ + glm::vec3 position; + float timeStamp; +}; + +struct KeyRotation +{ + glm::quat orientation; + float timeStamp; +}; + +struct KeyScale +{ + glm::vec3 scale; + float timeStamp; +}; + +class Bone +{ +private: + std::vector m_Positions; + std::vector m_Rotations; + std::vector m_Scales; + int m_NumPositions; + int m_NumRotations; + int m_NumScalings; + + glm::mat4 m_LocalTransform; + std::string m_Name; + int m_ID; + +public: + +/*reads keyframes from aiNodeAnim*/ + Bone(const std::string& name, int ID, const aiNodeAnim* channel) + : + m_Name(name), + m_ID(ID), + m_LocalTransform(1.0f) + { + m_NumPositions = channel->mNumPositionKeys; + + for (int positionIndex = 0; positionIndex < m_NumPositions; ++positionIndex) + { + aiVector3D aiPosition = channel->mPositionKeys[positionIndex].mValue; + float timeStamp = channel->mPositionKeys[positionIndex].mTime; + KeyPosition data; + data.position = AssimpGLMHelpers::GetGLMVec(aiPosition); + data.timeStamp = timeStamp; + m_Positions.push_back(data); + } + + m_NumRotations = channel->mNumRotationKeys; + for (int rotationIndex = 0; rotationIndex < m_NumRotations; ++rotationIndex) + { + aiQuaternion aiOrientation = channel->mRotationKeys[rotationIndex].mValue; + float timeStamp = channel->mRotationKeys[rotationIndex].mTime; + KeyRotation data; + data.orientation = AssimpGLMHelpers::GetGLMQuat(aiOrientation); + data.timeStamp = timeStamp; + m_Rotations.push_back(data); + } + + m_NumScalings = channel->mNumScalingKeys; + for (int keyIndex = 0; keyIndex < m_NumScalings; ++keyIndex) + { + aiVector3D scale = channel->mScalingKeys[keyIndex].mValue; + float timeStamp = channel->mScalingKeys[keyIndex].mTime; + KeyScale data; + data.scale = AssimpGLMHelpers::GetGLMVec(scale); + data.timeStamp = timeStamp; + m_Scales.push_back(data); + } + } + + /*interpolates b/w positions,rotations & scaling keys based on the curren time of + the animation and prepares the local transformation matrix by combining all keys + tranformations*/ + void Update(float animationTime) + { + glm::mat4 translation = InterpolatePosition(animationTime); + glm::mat4 rotation = InterpolateRotation(animationTime); + glm::mat4 scale = InterpolateScaling(animationTime); + m_LocalTransform = translation * rotation * scale; + } + + glm::mat4 GetLocalTransform() { return m_LocalTransform; } + std::string GetBoneName() const { return m_Name; } + int GetBoneID() { return m_ID; } + + + /* Gets the current index on mKeyPositions to interpolate to based on + the current animation time*/ + int GetPositionIndex(float animationTime) + { + for (int index = 0; index < m_NumPositions - 1; ++index) + { + if (animationTime < m_Positions[index + 1].timeStamp) + return index; + } + assert(0); + } + + /* Gets the current index on mKeyRotations to interpolate to based on the + current animation time*/ + int GetRotationIndex(float animationTime) + { + for (int index = 0; index < m_NumRotations - 1; ++index) + { + if (animationTime < m_Rotations[index + 1].timeStamp) + return index; + } + assert(0); + } + + /* Gets the current index on mKeyScalings to interpolate to based on the + current animation time */ + int GetScaleIndex(float animationTime) + { + for (int index = 0; index < m_NumScalings - 1; ++index) + { + if (animationTime < m_Scales[index + 1].timeStamp) + return index; + } + assert(0); + } + +private: + + /* Gets normalized value for Lerp & Slerp*/ + float GetScaleFactor(float lastTimeStamp, float nextTimeStamp, float animationTime) + { + float scaleFactor = 0.0f; + float midWayLength = animationTime - lastTimeStamp; + float framesDiff = nextTimeStamp - lastTimeStamp; + scaleFactor = midWayLength / framesDiff; + return scaleFactor; + } + + /*figures out which position keys to interpolate b/w and performs the interpolation + and returns the translation matrix*/ + glm::mat4 InterpolatePosition(float animationTime) + { + if (1 == m_NumPositions) + return glm::translate(glm::mat4(1.0f), m_Positions[0].position); + + int p0Index = GetPositionIndex(animationTime); + int p1Index = p0Index + 1; + float scaleFactor = GetScaleFactor(m_Positions[p0Index].timeStamp, + m_Positions[p1Index].timeStamp, animationTime); + glm::vec3 finalPosition = glm::mix(m_Positions[p0Index].position, + m_Positions[p1Index].position, scaleFactor); + return glm::translate(glm::mat4(1.0f), finalPosition); + } + + /*figures out which rotations keys to interpolate b/w and performs the interpolation + and returns the rotation matrix*/ + glm::mat4 InterpolateRotation(float animationTime) + { + if (1 == m_NumRotations) + { + auto rotation = glm::normalize(m_Rotations[0].orientation); + return glm::toMat4(rotation); + } + + int p0Index = GetRotationIndex(animationTime); + int p1Index = p0Index + 1; + float scaleFactor = GetScaleFactor(m_Rotations[p0Index].timeStamp, + m_Rotations[p1Index].timeStamp, animationTime); + glm::quat finalRotation = glm::slerp(m_Rotations[p0Index].orientation, + m_Rotations[p1Index].orientation, scaleFactor); + finalRotation = glm::normalize(finalRotation); + return glm::toMat4(finalRotation); + } + + /*figures out which scaling keys to interpolate b/w and performs the interpolation + and returns the scale matrix*/ + glm::mat4 Bone::InterpolateScaling(float animationTime) + { + if (1 == m_NumScalings) + return glm::scale(glm::mat4(1.0f), m_Scales[0].scale); + + int p0Index = GetScaleIndex(animationTime); + int p1Index = p0Index + 1; + float scaleFactor = GetScaleFactor(m_Scales[p0Index].timeStamp, + m_Scales[p1Index].timeStamp, animationTime); + glm::vec3 finalScale = glm::mix(m_Scales[p0Index].scale, m_Scales[p1Index].scale + , scaleFactor); + return glm::scale(glm::mat4(1.0f), finalScale); + } + +}; +``` +我们首先为我们的键类型创建3个结构。每个结构都有一个值和一个时间戳。时间戳告诉我们在动画的哪个点需要插值到它的值。Bone有一个构造函数,它从`aiNodeAnim`读取密钥并将密钥及其时间戳存储到`mPositionKeys`、`mRotationKeys`和`mScalingKeys`。主要插值过程从更新(float animationTime)开始,该过程在每帧调用一次。此函数调用所有键类型的相应插值函数,并组合所有最终插值结果,并将其存储到4x4矩阵`m_LocalTransform`中。平移和缩放关键点的插值函数相似,但对于旋转,我们使用Slerp在四元数之间进行插值。Lerp和Slerp都有3个论点。第一个参数取最后一个键,第二个参数取下一个键和第三个参数取范围为0-1的值,我们在这里称之为比例因子。让我们看看如何在函数`GetScaleFactor`中计算这个比例因子: + +![](../img/08/01/scale_factor.png) + +在代码中: + +**float midWayLength = animationTime - lastTimeStamp;** + +**float framesDiff = nextTimeStamp - lastTimeStamp;** + +**scaleFactor = midWayLength / framesDiff;** + +现在让我们继续转到**Animation**类: +```c++ +struct AssimpNodeData +{ + glm::mat4 transformation; + std::string name; + int childrenCount; + std::vector children; +}; + +class Animation +{ +public: + Animation() = default; + + Animation(const std::string& animationPath, Model* model) + { + Assimp::Importer importer; + const aiScene* scene = importer.ReadFile(animationPath, aiProcess_Triangulate); + assert(scene && scene->mRootNode); + auto animation = scene->mAnimations[0]; + m_Duration = animation->mDuration; + m_TicksPerSecond = animation->mTicksPerSecond; + ReadHeirarchyData(m_RootNode, scene->mRootNode); + ReadMissingBones(animation, *model); + } + + ~Animation() + { + } + + Bone* FindBone(const std::string& name) + { + auto iter = std::find_if(m_Bones.begin(), m_Bones.end(), + [&](const Bone& Bone) + { + return Bone.GetBoneName() == name; + } + ); + if (iter == m_Bones.end()) return nullptr; + else return &(*iter); + } + + + inline float GetTicksPerSecond() { return m_TicksPerSecond; } + + inline float GetDuration() { return m_Duration;} + + inline const AssimpNodeData& GetRootNode() { return m_RootNode; } + + inline const std::map& GetBoneIDMap() + { + return m_BoneInfoMap; + } + +private: + void ReadMissingBones(const aiAnimation* animation, Model& model) + { + int size = animation->mNumChannels; + + auto& boneInfoMap = model.GetBoneInfoMap();//getting m_BoneInfoMap from Model class + int& boneCount = model.GetBoneCount(); //getting the m_BoneCounter from Model class + + //reading channels(bones engaged in an animation and their keyframes) + for (int i = 0; i < size; i++) + { + auto channel = animation->mChannels[i]; + std::string boneName = channel->mNodeName.data; + + if (boneInfoMap.find(boneName) == boneInfoMap.end()) + { + boneInfoMap[boneName].id = boneCount; + boneCount++; + } + m_Bones.push_back(Bone(channel->mNodeName.data, + boneInfoMap[channel->mNodeName.data].id, channel)); + } + + m_BoneInfoMap = boneInfoMap; + } + + void ReadHeirarchyData(AssimpNodeData& dest, const aiNode* src) + { + assert(src); + + dest.name = src->mName.data; + dest.transformation = AssimpGLMHelpers::ConvertMatrixToGLMFormat(src->mTransformation); + dest.childrenCount = src->mNumChildren; + + for (int i = 0; i < src->mNumChildren; i++) + { + AssimpNodeData newData; + ReadHeirarchyData(newData, src->mChildren[i]); + dest.children.push_back(newData); + } + } + float m_Duration; + int m_TicksPerSecond; + std::vector m_Bones; + AssimpNodeData m_RootNode; + std::map m_BoneInfoMap; +}; +``` +在这里,动画对象的创建从构造函数开始。这需要两个论点。首先,动画文件的路径&第二个参数是该动画的模型。稍后您将看到我们为什么需要此模型参考。然后,我们创建一个`Assimp::Importer`来读取动画文件,然后进行断言检查,如果找不到动画,该检查将引发错误。然后我们读取一般的动画数据,比如这个动画有多长,即`mDuration`和由`mTicksPerSecond`表示的动画速度。然后我们调用`ReadHeirarchyData`,它复制Assimp的`aiNode`继承权并创建`AssimpNodeData`的继承权。 + +然后我们调用一个名为`ReadMissingBones`的函数。我不得不编写这个函数,因为有时当我单独加载FBX模型时,它缺少一些骨骼,而我在动画文件中找到了这些缺失的骨骼。此函数读取丢失的骨骼信息,并将其信息存储在模型的`m_BoneInfoMap`中,并在`m_BoneIInfoMap`中本地保存`m_BoneIinfoMap`的引用。 + +我们已经准备好了动画。现在让我们看看我们的最后阶段,Animator类: + +```c++ +class Animator +{ +public: + Animator::Animator(Animation* Animation) + { + m_CurrentTime = 0.0; + m_CurrentAnimation = currentAnimation; + + m_FinalBoneMatrices.reserve(100); + + for (int i = 0; i < 100; i++) + m_FinalBoneMatrices.push_back(glm::mat4(1.0f)); + } + + void Animator::UpdateAnimation(float dt) + { + m_DeltaTime = dt; + if (m_CurrentAnimation) + { + m_CurrentTime += m_CurrentAnimation->GetTicksPerSecond() * dt; + m_CurrentTime = fmod(m_CurrentTime, m_CurrentAnimation->GetDuration()); + CalculateBoneTransform(&m_CurrentAnimation->GetRootNode(), glm::mat4(1.0f)); + } + } + + void Animator::PlayAnimation(Animation* pAnimation) + { + m_CurrentAnimation = pAnimation; + m_CurrentTime = 0.0f; + } + + void Animator::CalculateBoneTransform(const AssimpNodeData* node, glm::mat4 parentTransform) + { + std::string nodeName = node->name; + glm::mat4 nodeTransform = node->transformation; + + Bone* Bone = m_CurrentAnimation->FindBone(nodeName); + + if (Bone) + { + Bone->Update(m_CurrentTime); + nodeTransform = Bone->GetLocalTransform(); + } + + glm::mat4 globalTransformation = parentTransform * nodeTransform; + + auto boneInfoMap = m_CurrentAnimation->GetBoneIDMap(); + if (boneInfoMap.find(nodeName) != boneInfoMap.end()) + { + int index = boneInfoMap[nodeName].id; + glm::mat4 offset = boneInfoMap[nodeName].offset; + m_FinalBoneMatrices[index] = globalTransformation * offset; + } + + for (int i = 0; i < node->childrenCount; i++) + CalculateBoneTransform(&node->children[i], globalTransformation); + } + + std::vector GetFinalBoneMatrices() + { + return m_FinalBoneMatrices; + } + +private: + std::vector m_FinalBoneMatrices; + Animation* m_CurrentAnimation; + float m_CurrentTime; + float m_DeltaTime; +}; +``` +`Animator`构造函数将播放动画,然后继续将动画时间`m_CurrentTime`重置为0。它还初始化`m_FinalBoneMatrices`,这是一个`std::vector\`。这里的主要注意点是`UpdateAnimation(float deltaTime)`函数。它以`m_TicksPerSecond`的速率推进`m_CurrentTime`,然后调用`CalculateBoneTransform`函数。我们将在开始时传递两个参数,第一个是`m_CurrentAnimation`的`m_RootNode`,第二个是作为`parentTransform`传递的身份矩阵。然后,通过在`animation`的`m_Bones`数组中查找`m_RootNodes`骨骼来检查该骨骼是否参与该动画。如果找到骨骼,则调用`bone.Update()`函数,该函数对所有骨骼进行插值,并将局部骨骼变换矩阵返回到`nodeTransform`。但这是局部空间矩阵,如果在着色器中传递,将围绕原点移动骨骼。因此,我们将这个`nodeTransform`与parentTransform相乘,并将结果存储在`globalTransformation`中。这就足够了,但顶点仍在默认模型空间中。我们在`m_BoneInfoMap`中找到偏移矩阵,然后将其与`globalTransfromMatrix`相乘。我们还将获得id索引,该索引将用于写入该骨骼到`m_FinalBoneMatrices`的最终转换。 + +最后我们为该节点的每个子节点调用`CalculateBoneTransform`,并将`globalTransformation`作为`parentTransform`传递。当没有子节点需要进一步处理时,我们会跳出这个递归循环。 + +## 让我们动起来 +我们辛勤工作的成果终于来了!以下是我们将如何在main.cpp中播放动画: +```c++ +int main() +{ + ... + + Model ourModel(FileSystem::getPath("resources/objects/vampire/dancing_vampire.dae")); + Animation danceAnimation(FileSystem::getPath("resources/objects/vampire/dancing_vampire.dae"), + &ourModel); + Animator animator(&danceAnimation); + + // draw in wireframe + //glPolygonMode(GL_FRONT_AND_BACK, GL_LINE); + + // render loop + // ----------- + while (!glfwWindowShouldClose(window)) + { + // per-frame time logic + // -------------------- + float currentFrame = glfwGetTime(); + deltaTime = currentFrame - lastFrame; + lastFrame = currentFrame; + + // input + // ----- + processInput(window); + animator.UpdateAnimation(deltaTime); + + // render + // ------ + glClearColor(0.05f, 0.05f, 0.05f, 1.0f); + glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); + + // don't forget to enable shader before setting uniforms + ourShader.use(); + + // view/projection transformations + glm::mat4 projection = glm::perspective(glm::radians(camera.Zoom), + (float)SCR_WIDTH / (float)SCR_HEIGHT, 0.1f, 100.0f); + glm::mat4 view = camera.GetViewMatrix(); + ourShader.setMat4("projection", projection); + ourShader.setMat4("view", view); + + auto transforms = animator.GetFinalBoneMatrices(); + for (int i = 0; i < transforms.size(); ++i) + ourShader.setMat4("finalBonesMatrices[" + std::to_string(i) + "]", transforms[i]); + + // render the loaded model + glm::mat4 model = glm::mat4(1.0f); + // translate it down so it's at the center of the scene + model = glm::translate(model, glm::vec3(0.0f, -0.4f, 0.0f)); + // it's a bit too big for our scene, so scale it down + model = glm::scale(model, glm::vec3(.5f, .5f, .5f)); + ourShader.setMat4("model", model); + ourModel.Draw(ourShader); + + // glfw: swap buffers and poll IO events (keys pressed/released, mouse moved etc.) + // ------------------------------------------------------------------------------- + glfwSwapBuffers(window); + glfwPollEvents(); + } + + // glfw: terminate, clearing all previously allocated GLFW resources. + // ------------------------------------------------------------------ + glfwTerminate(); + return 0; +``` +我们从加载模型开始,该模型将为着色器设置骨骼重量数据,然后通过为其提供路径来创建动画。然后,我们通过将创建的`Animation`传递给它来创建`Animator`对象。在渲染循环中,我们更新`Animator`,进行最终的骨骼变换并将其提供给着色器。这是我们一直在等待的输出: + +![output](../img/08/01/output.gif) + +从[此处](https://learnopengl.com/Model-Loading/Assimp)下载使用的模型。请注意,动画和网格是在单个DAE(collada)文件中烘焙的。你可以在[这里](https://learnopengl.com/code_viewer_gh.php?code=src/8.guest/2020/skeletal_animation/skeletal_animation.cpp)找到这个演示的完整源代码。 + +## 延伸阅读 +[Quaternions](http://www.songho.ca/math/quaternion/quaternion.html): An article by songho to understand quaternions in depth. +[Skeletal Animation with Assimp](http://ogldev.atspace.co.uk/www/tutorial38/tutorial38.html): An article by OGL Dev. +[Skeletal Animation with Java](https://youtu.be/f3Cr8Yx3GGA): A fantastic youtube playlist by Thin Matrix. +[Why Quaternions should be used for Rotation](https://www.gamasutra.com/view/feature/131686/rotating_objects_using_quaternions.php): An awesome gamasutra article. diff --git a/docs/img/08/01/assimp1.jpeg b/docs/img/08/01/assimp1.jpeg new file mode 100644 index 0000000000000000000000000000000000000000..b2c8cb9b69913fd9466d814c3237cd7cc76c0409 GIT binary patch literal 51568 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