使用相机固有矩阵在 2d 图像上投影 3D 网格

Question

我一直在尝试使用 HOnnotate dataset to extract perspective correct hand and object masks as shown in the images of Task-3 of the Hands-2019 challenge。

数据集附带以下注释：

annotations:
    The annotations are provided in pickled files under meta folder for each sequence. The pickle files in the training data contain a dictionary with the following keys:
    objTrans: A 3x1 vector representing object translation
    objRot: A 3x1 vector representing object rotation in axis-angle representation
    handPose: A 48x1 vector represeting the 3D rotation of the 16 hand joints including the root joint in axis-angle representation. The ordering of the joints follow the MANO model convention (see joint_order.png) and can be directly fed to MANO model.
    handTrans: A 3x1 vector representing the hand translation
    handBeta: A 10x1 vector representing the MANO hand shape parameters
    handJoints3D: A 21x3 matrix representing the 21 3D hand joint locations
    objCorners3D: A 8x3 matrix representing the 3D bounding box corners of the object
    objCorners3DRest: A 8x3 matrix representing the 3D bounding box corners of the object before applying the transormation
    objName: Name of the object as given in YCB dataset
    objLabel: Object label as given in YCB dataset
    camMat: Intrinsic camera parameters
    handVertContact: A 778D boolean vector whose each element represents whether the corresponding MANO vertex is in contact with the object. A MANO vertex is in contact if its distance to the object surface is <4mm
    handVertDist: A 778D float vector representing the distance of MANO vertices to the object surface.
    handVertIntersec: A 778D boolean vector specifying if the MANO vertices are inside the object surface.
    handVertObjSurfProj: A 778x3 matrix representing the projection of MANO vertices on the object surface.

它还附带一个可视化脚本 (https://github.com/shreyashampali/ho3d)，可以将注释渲染为 3D 网格（使用 Open3D）或 object 角和手点上的 2D 项目（使用 Matplotlib）：

我想做的是将 Open3D 创建的可视化投影回原始图像。

到目前为止，我还无法做到这一点。我能做的是从 3d 网格中获取点云并在其上应用相机固有功能以使其透视正确，现在的问题是如何从 point-cloud 为双手和 object就像Open3d渲染的那个。

# code looks as follows
# "mesh" is an Open3D triangle mesh ie "open3d.geometry.TriangleMesh()" 
pcd = open3d.geometry.PointCloud()
pcd.points = mesh.vertices
pcd.colors = mesh.vertex_colors
pcd.normals = mesh.vertex_normals

pts3D = np.asarray(pcd.points)
# hand/object along negative z-axis so need to correct perspective when plotting using OpenCV
cord_change_mat = np.array([[1., 0., 0.], [0, -1., 0.], [0., 0., -1.]], dtype=np.float32)
pts3D = pts3D.dot(cord_change_mat.T)

# "anno['camMat']" is camera intrinsic matrix 
img_points, _ = cv2.projectPoints(pts3D, (0, 0, 0), (0, 0, 0), anno['camMat'], np.zeros(4, dtype='float32'))

# draw perspective correct point cloud back on the image
for point in img_points:
    p1, p2 = int(point[0][0]), int(point[0][1])
    img[p2, p1] = (255, 255, 255)

基本上，我正在尝试找出这个分割掩码：

PS。抱歉，如果这没有多大意义，我对 3D 网格、点云及其投影非常陌生。我还不知道他们的所有正确的技术词汇。有问题可以评论留言，我会尽量解释清楚。

Answer 1

原来有一种简单的方法可以使用 Open3D 和相机内在值来完成这项任务。基本上我们指示 Open3D 从相机的 POV 渲染图像。


import open3d
import open3d.visualization.rendering as rendering

# Create a renderer with a set image width and height
render = rendering.OffscreenRenderer(img_width, img_height)

# setup camera intrinsic values
pinhole = open3d.camera.PinholeCameraIntrinsic(img_width, img_height, fx, fy, cx, cy)
    
# Pick a background colour of the rendered image, I set it as black (default is light gray)
render.scene.set_background([0.0, 0.0, 0.0, 1.0])  # RGBA

# now create your mesh
mesh = open3d.geometry.TriangleMesh()
mesh.paint_uniform_color([1.0, 0.0, 0.0]) # set Red color for mesh 
# define further mesh properties, shape, vertices etc  (omitted here)  

# Define a simple unlit Material.
# (The base color does not replace the mesh's own colors.)
mtl = o3d.visualization.rendering.Material()
mtl.base_color = [1.0, 1.0, 1.0, 1.0]  # RGBA
mtl.shader = "defaultUnlit"

# add mesh to the scene
render.scene.add_geometry("MyMeshModel", mesh, mtl)

# render the scene with respect to the camera
render.scene.camera.set_projection(camMat, 0.1, 1.0, 640, 480)
img_o3d = render.render_to_image()

# we can now save the rendered image right at this point 
open3d.io.write_image("output.png", img_o3d, 9)


# Optionally, we can convert the image to OpenCV format and play around.
# For my use case I mapped it onto the original image to check quality of 
# segmentations and to create masks.
# (Note: OpenCV expects the color in BGR format, so swap red and blue.)
img_cv2 = cv2.cvtColor(np.array(img_o3d), cv2.COLOR_RGBA2BGR)
cv2.imwrite("cv_output.png", img_cv2)

这个答案借鉴了很多 this answer

使用相机固有矩阵在 2d 图像上投影 3D 网格

Project 3D mesh on 2d image using camera intrinsic matrix

python

matplotlib

open3d