COLMAP利用已知相机内外参重建NeRF的blender模型

前言

本文的目的是根据已知相机参数的blender模型,使用colmap进行稀疏重建和稠密重建。使用的blender数据是NeRF提供的synthetic数据集中的lego模型,其中的几张图片如下:
在这里插入图片描述在这里插入图片描述在这里插入图片描述在这里插入图片描述

一、数据准备

文件夹应按如下层级组织:

 E:\rootpath
 ├─created
 │  └─sparse
 │   +── cameras.txt
 │   +── images.txt
 │   +── points3D.txt
 ├─dense
 ├─images
 │   +── r_0.png
 │   +── r_1.png
 │   +── ...
 ├─model
 └─triangulated
     └─sparse
 +── transforms_train.json 
 +── blender_camera2colmap.py 
 +── transform_colmap_camera.py 

其中 created/sparse 文件夹下的 cameras.txt 对应我们指定的相机内参,images.txt 对应每张图片的相机外参信息,points3D.txt 对应稠密重建需要用到的稀疏点云。 dense 文件夹下保存colmap稠密重建结果,images 文件夹下存放输入的图片,也就是NeRF的训练视图, model 文件夹下存放colmap导出的稀疏重建结果,triangulated/sparse 文件夹下保存colmap稀疏重建结果,transforms_train.json 是NeRF blender数据集提供的真实的相机内外参数据,最后两个python文件是后面要用到的脚本。

二、从blender数据构造colmap数据集

这一步是为了读取NeRF的blender相机参数数据,转换成colmap可以使用的数据格式。blender相机参数采用右手坐标系,相机的位姿用于从相机坐标系向世界坐标系转换,以旋转矩阵 R 和平移向量 T 的格式给出;colmap相机参数采用opecv格式的坐标系,相机的位姿用于从世界坐标系向相机坐标系转换,以四元数 Quat 和平移向量 T 的格式给出,因此需要手动进行转换以获得cameras.txtimages.txtpoints3D.txt。三个文件各自的格式规定如下:

cameras.txt

# Camera list with one line of data per camera:
# CAMERA_ID, MODEL, WIDTH, HEIGHT, PARAMS[fx,fy,cx,cy]
# Number of cameras: 1
1 PINHOLE 800 800 1111.1110311937682 1111.1110311937682 400.0 400.0

images.txt

# Image list with two lines of data per image:
# IMAGE_ID, QW, QX, QY, QZ, TX, TY, TZ, CAMERA_ID, NAME
# POINTS2D[] as (X, Y, POINT3D_ID)
# Number of images: 100, mean observations per image: 100
1 0.0041 0.0056 -0.8064 0.5919 6.3306e-10 -5.1536e-08 4.0311 1 r_0.png
# Make sure every other line is left empty
2 0.1086 0.15132 -0.7980 0.5729 4.9764e-08 -2.7316e-08 4.0311 1 r_1.png

3 0.5450 0.6810 -0.3817 0.3055 -1.2894e-07 -2.6036e-08 4.0311 1 r_10.png

points3D.txt

# 3D point list with one line of data per point:
# POINT3D_ID, X, Y, Z, R, G, B, ERROR, TRACK[] as (IMAGE_ID, POINT2D_IDX)
# Number of points: 12888, mean track length: 4.5869025450031033
944 -0.3789 0.5152 -0.1104 58 65 88 0.0692 13 521 49 537 3 446
1054 -0.1167 -0.3606 -0.0849 180 176 187 0.2641 13 1285 49 1440 3 1307
5 -0.1028 -0.4174 0.8981 23 18 7 0.0205 65 33 1 23

完成该转换的 blender_camera2colmap.py 脚本内容如下:

# 该脚本是为了从blender数据集的tranforms_train.json构造colmap的相机参数和图片参数数据集,以便使用指定相机视角的colmap进行重建。
# 参考:https://www.cnblogs.com/li-minghao/p/11865794.html
# 运行方法:python blender_camera2colmap.py

import numpy as np
import json
import os
import imageio
import math

# TODO: change image size
H = 800
W = 800

blender2opencv = np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])
# 注意:最后输出的图片名字要按自然字典序排列,例:0, 1, 100, 101, 102, 2, 3...因为colmap内部是这么排序的
fnames = list(sorted(os.listdir('images')))
fname2pose = {}

with open('transforms_train.json', 'r') as f:
    meta = json.load(f)

fx = 0.5 * W / np.tan(0.5 * meta['camera_angle_x'])  # original focal length
if 'camera_angle_y' in meta:
    fy = 0.5 * H / np.tan(0.5 * meta['camera_angle_y'])  # original focal length
else:
    fy = fx
if 'cx' in meta:
    cx, cy = meta['cx'], meta['cy']
else:
    cx = 0.5 * W
    cy = 0.5 * H
with open('created/sparse/cameras.txt', 'w') as f:
    f.write(f'1 PINHOLE {W} {H} {fx} {fy} {cx} {cy}')
    idx = 1
    for frame in meta['frames']:
        fname = frame['file_path'].split('/')[-1]
        if not (fname.endswith('.png') or fname.endswith('.jpg')):
            fname += '.png'
        # blend到opencv的转换:y轴和z轴方向翻转
        pose = np.array(frame['transform_matrix']) @ blender2opencv
        fname2pose.update({fname: pose})

with open('created/sparse/images.txt', 'w') as f:
    for fname in fnames:
        pose = fname2pose[fname]
        # 参考https://blog.csdn.net/weixin_44120025/article/details/124604229:colmap中相机坐标系和世界坐标系是相反的
        # blender中:world = R * camera + T; colmap中:camera = R * world + T
        # 因此转换公式为
        # R’ = R^-1
        # t’ = -R^-1 * t
        R = np.linalg.inv(pose[:3, :3])
        T = -np.matmul(R, pose[:3, 3])
        q0 = 0.5 * math.sqrt(1 + R[0, 0] + R[1, 1] + R[2, 2])
        q1 = (R[2, 1] - R[1, 2]) / (4 * q0)
        q2 = (R[0, 2] - R[2, 0]) / (4 * q0)
        q3 = (R[1, 0] - R[0, 1]) / (4 * q0)

        f.write(f'{idx} {q0} {q1} {q2} {q3} {T[0]} {T[1]} {T[2]} 1 {fname}\n\n')
        idx += 1

with open('created/sparse/points3D.txt', 'w') as f:
   f.write('')

直接在根目录 rootpath 下运行

python blender_camera2colmap.py

即可获得 created/sparse 文件下所需的内容。

三、COLMAP重建流程

1. 抽取图像特征

colmap feature_extractor --database_path database.db --image_path images

终端输出示例如下:

==============================================================================
Feature extraction
==============================================================================

Processed file [1/100]
  Name:            r_0.png
  Dimensions:      800 x 800
  Camera:          #1 - SIMPLE_RADIAL
  Focal Length:    960.00px
  Features:        2403
Processed file [2/100]
  Name:            r_1.png
  Dimensions:      800 x 800
  Camera:          #2 - SIMPLE_RADIAL
  Focal Length:    960.00px
  Features:        2865
Processed file [3/100]
..........
..........
Elapsed time: 0.075 [minutes]

2. 导入指定相机内参

前一步colmap获得了估计的相机内参,但我们有真实的相机内参,所以将colmap估出来的相机内参提环成我们自己的,使用的 transform_colmap_camera.py 脚本内容如下:

# This script is based on an original implementation by True Price.
# 用于手动从database.db中读取相机参数并更改为cameras.txt中的相机参数
# 参考:https://www.cnblogs.com/li-minghao/p/11865794.html

import sys
import numpy as np
import sqlite3


IS_PYTHON3 = sys.version_info[0] >= 3
MAX_IMAGE_ID = 2**31 - 1

CREATE_CAMERAS_TABLE = """CREATE TABLE IF NOT EXISTS cameras (
    camera_id INTEGER PRIMARY KEY AUTOINCREMENT NOT NULL,
    model INTEGER NOT NULL,
    width INTEGER NOT NULL,
    height INTEGER NOT NULL,
    params BLOB,
    prior_focal_length INTEGER NOT NULL)"""

CREATE_DESCRIPTORS_TABLE = """CREATE TABLE IF NOT EXISTS descriptors (
    image_id INTEGER PRIMARY KEY NOT NULL,
    rows INTEGER NOT NULL,
    cols INTEGER NOT NULL,
    data BLOB,
    FOREIGN KEY(image_id) REFERENCES images(image_id) ON DELETE CASCADE)"""

CREATE_IMAGES_TABLE = """CREATE TABLE IF NOT EXISTS images (
    image_id INTEGER PRIMARY KEY AUTOINCREMENT NOT NULL,
    name TEXT NOT NULL UNIQUE,
    camera_id INTEGER NOT NULL,
    prior_qw REAL,
    prior_qx REAL,
    prior_qy REAL,
    prior_qz REAL,
    prior_tx REAL,
    prior_ty REAL,
    prior_tz REAL,
    CONSTRAINT image_id_check CHECK(image_id >= 0 and image_id < {}),
    FOREIGN KEY(camera_id) REFERENCES cameras(camera_id))
""".format(MAX_IMAGE_ID)

CREATE_TWO_VIEW_GEOMETRIES_TABLE = """
CREATE TABLE IF NOT EXISTS two_view_geometries (
    pair_id INTEGER PRIMARY KEY NOT NULL,
    rows INTEGER NOT NULL,
    cols INTEGER NOT NULL,
    data BLOB,
    config INTEGER NOT NULL,
    F BLOB,
    E BLOB,
    H BLOB,
    qvec BLOB,
    tvec BLOB)
"""

CREATE_KEYPOINTS_TABLE = """CREATE TABLE IF NOT EXISTS keypoints (
    image_id INTEGER PRIMARY KEY NOT NULL,
    rows INTEGER NOT NULL,
    cols INTEGER NOT NULL,
    data BLOB,
    FOREIGN KEY(image_id) REFERENCES images(image_id) ON DELETE CASCADE)
"""

CREATE_MATCHES_TABLE = """CREATE TABLE IF NOT EXISTS matches (
    pair_id INTEGER PRIMARY KEY NOT NULL,
    rows INTEGER NOT NULL,
    cols INTEGER NOT NULL,
    data BLOB)"""

CREATE_NAME_INDEX = \
    "CREATE UNIQUE INDEX IF NOT EXISTS index_name ON images(name)"

CREATE_ALL = "; ".join([
    CREATE_CAMERAS_TABLE,
    CREATE_IMAGES_TABLE,
    CREATE_KEYPOINTS_TABLE,
    CREATE_DESCRIPTORS_TABLE,
    CREATE_MATCHES_TABLE,
    CREATE_TWO_VIEW_GEOMETRIES_TABLE,
    CREATE_NAME_INDEX
])


def array_to_blob(array):
    if IS_PYTHON3:
        return array.tostring()
    else:
        return np.getbuffer(array)

def blob_to_array(blob, dtype, shape=(-1,)):
    if IS_PYTHON3:
        return np.fromstring(blob, dtype=dtype).reshape(*shape)
    else:
        return np.frombuffer(blob, dtype=dtype).reshape(*shape)

class COLMAPDatabase(sqlite3.Connection):

    @staticmethod
    def connect(database_path):
        return sqlite3.connect(database_path, factory=COLMAPDatabase)

    def __init__(self, *args, **kwargs):
        super(COLMAPDatabase, self).__init__(*args, **kwargs)

        self.create_tables = lambda: self.executescript(CREATE_ALL)
        self.create_cameras_table = \
            lambda: self.executescript(CREATE_CAMERAS_TABLE)
        self.create_descriptors_table = \
            lambda: self.executescript(CREATE_DESCRIPTORS_TABLE)
        self.create_images_table = \
            lambda: self.executescript(CREATE_IMAGES_TABLE)
        self.create_two_view_geometries_table = \
            lambda: self.executescript(CREATE_TWO_VIEW_GEOMETRIES_TABLE)
        self.create_keypoints_table = \
            lambda: self.executescript(CREATE_KEYPOINTS_TABLE)
        self.create_matches_table = \
            lambda: self.executescript(CREATE_MATCHES_TABLE)
        self.create_name_index = lambda: self.executescript(CREATE_NAME_INDEX)

    def update_camera(self, model, width, height, params, camera_id):
        params = np.asarray(params, np.float64)
        cursor = self.execute(
            "UPDATE cameras SET model=?, width=?, height=?, params=?, prior_focal_length=1 WHERE camera_id=?",
            (model, width, height, array_to_blob(params),camera_id))
        return cursor.lastrowid

def camTodatabase(txtfile):
    import os
    import argparse

    camModelDict = {'SIMPLE_PINHOLE': 0,
                    'PINHOLE': 1,
                    'SIMPLE_RADIAL': 2,
                    'RADIAL': 3,
                    'OPENCV': 4,
                    'FULL_OPENCV': 5,
                    'SIMPLE_RADIAL_FISHEYE': 6,
                    'RADIAL_FISHEYE': 7,
                    'OPENCV_FISHEYE': 8,
                    'FOV': 9,
                    'THIN_PRISM_FISHEYE': 10}
    parser = argparse.ArgumentParser()
    parser.add_argument("--database_path", default="database.db")
    args = parser.parse_args()
    if os.path.exists(args.database_path)==False:
        print("ERROR: database path dosen't exist -- please check database.db.")
        return
    # Open the database.
    db = COLMAPDatabase.connect(args.database_path)

    idList=list()
    modelList=list()
    widthList=list()
    heightList=list()
    paramsList=list()
    # Update real cameras from .txt
    with open(txtfile, "r") as cam:
        lines = cam.readlines()
        for i in range(0,len(lines),1):
            if lines[i][0]!='#':
                strLists = lines[i].split()
                cameraId=int(strLists[0])
                cameraModel=camModelDict[strLists[1]] #SelectCameraModel
                width=int(strLists[2])
                height=int(strLists[3])
                paramstr=np.array(strLists[4:12])
                params = paramstr.astype(np.float64)
                idList.append(cameraId)
                modelList.append(cameraModel)
                widthList.append(width)
                heightList.append(height)
                paramsList.append(params)
                camera_id = db.update_camera(cameraModel, width, height, params, cameraId)

    # Commit the data to the file.
    db.commit()
    # Read and check cameras.
    rows = db.execute("SELECT * FROM cameras")
    for i in range(0,len(idList),1):
        camera_id, model, width, height, params, prior = next(rows)
        params = blob_to_array(params, np.float64)
        assert camera_id == idList[i]
        assert model == modelList[i] and width == widthList[i] and height == heightList[i]
        assert np.allclose(params, paramsList[i])

    # Close database.db.
    db.close()

if __name__ == "__main__":
    camTodatabase("created/sparse/cameras.txt")

直接在根目录 rootpath 下运行

python transform_colmap_camera.py

即可完成database.db中相机内参的替换。

3. 特征匹配

colmap exhaustive_matcher --database_path database.db

终端输出示例如下:

==============================================================================
Exhaustive feature matching
==============================================================================

Matching block [1/2, 1/2] in 5.688s
Matching block [1/2, 2/2] in 5.234s
Matching block [2/2, 1/2] in 5.609s
Matching block [2/2, 2/2] in 5.165s
Elapsed time: 0.364 [minutes]

4. 三角测量

colmap point_triangulator --database_path database.db --image_path images --input_path created/sparse --output_path triangulated/sparse

终端输出示例如下:

==============================================================================
Loading model
==============================================================================
==============================================================================
Loading database
==============================================================================
Loading cameras... 100 in 0.000s
Loading matches... 1330 in 0.003s
Loading images... 100 in 0.012s (connected 100)
Building correspondence graph... in 0.025s (ignored 0)
Elapsed time: 0.001 [minutes]

==============================================================================
Triangulating image #1 (0)
==============================================================================
 => Image sees 0 / 465 points
 => Triangulated 284 points
..........
..........
Bundle adjustment report
------------------------
   Residuals : 118254
  Parameters : 38718
  Iterations : 3
        Time : 0.102123 [s]
Initial cost : 0.469918 [px]
  Final cost : 0.469793 [px]
 Termination : Convergence

 => Completed observations: 2
 => Merged observations: 0
 => Filtered observations: 1
 => Changed observations: 0.000051
==============================================================================
Extracting colors
==============================================================================

5. 使用指定相机参数进行稠密重建

运行

colmap gui

在COLMAP图形界面中选择 “File”->“Import Model” ,可以把triangulated/sparse下的内容导入进来看相机视角和稀疏点云重建的如何,以此确定前面的步骤是否执行正确。如果提示“找不到project.ini”可以忽略。我的效果如下:

在这里插入图片描述

【注意:接下来这一步很重要】
然后选择 “File”->“Export model as txt”,把结果保存在 model 文件夹下,这里包括了colmap稀疏重建估出来的相机内外参和稀疏点云数据。我们把 model/points3D.txt 文件复制到 created/sparse 文件夹下,覆盖掉原来空的 points3D.txt 文件,这是接下来稠密重建需要用到的稀疏点云数据。

接下来运行

colmap image_undistorter --image_path images --input_path created/sparse --output_path dense

终端输出示例如下:

==============================================================================
Reading reconstruction
==============================================================================

 => Reconstruction with 100 images and 12906 points

==============================================================================
Image undistortion
==============================================================================

Undistorted image found; copying to location: dense\images\r_0.pngUndistorted image found; copying to location: dense\images\r_10.png
Undistorting image [1/100]
Undistorted image found; copying to location: dense\images\r_13.png
Undistorted image found; copying to location: dense\images\r_14.png
..........
..........
Writing reconstruction...
Writing configuration...
Writing scripts...
Elapsed time: 0.002 [minutes]

6. 立体匹配

colmap patch_match_stereo --workspace_path dense

这一步是最耗时的,如果图片多的话,会花费长达几个小时的时间。在lego数据集上大概花费一个小时。终端输出示例如下:

Reading workspace...
Reading configuration...
Configuration has 100 problems...

==============================================================================
Processing view 1 / 100 for r_0.png
==============================================================================

Reading inputs...

PatchMatch::Problem
-------------------
ref_image_idx: 0
src_image_idxs: 20 36 80 64 37 61 1 73 58 32 47 19 3 46 57 4 77 53 28 33

PatchMatchOptions
-----------------
max_image_size: -1
gpu_index: 0
depth_min: 2.2507
depth_max: 6.0306
window_radius: 5
window_step: 1
sigma_spatial: 5
sigma_color: 0.2
num_samples: 15
ncc_sigma: 0.6
min_triangulation_angle: 1
incident_angle_sigma: 0.9
num_iterations: 5
geom_consistency: 0
geom_consistency_regularizer: 0.3
geom_consistency_max_cost: 3
filter: 0
filter_min_ncc: 0.1
filter_min_triangulation_angle: 3
filter_min_num_consistent: 2
filter_geom_consistency_max_cost: 1
write_consistency_graph: 0
allow_missing_files: 0

PatchMatch::Run
---------------
Initialization: 0.1131s
 Sweep 1: 0.4373s
 Sweep 2: 0.3998s
 Sweep 3: 0.4118s
 Sweep 4: 0.3944s
Iteration 1: 1.6447s
 Sweep 1: 0.4101s
 Sweep 2: 0.3992s
..........
..........
Writing geometric output for r_99.png
Elapsed time: 61.006 [minutes]

7. 稠密点云融合

colmap stereo_fusion --workspace_path dense --output_path dense/fused.ply

终端输出示例如下:

StereoFusion::Options
---------------------
mask_path:
max_image_size: -1
min_num_pixels: 5
max_num_pixels: 10000
max_traversal_depth: 100
max_reproj_error: 2
max_depth_error: 0.01
max_normal_error: 10
check_num_images: 50
use_cache: 0
cache_size: 32
bbox_min: -3.40282e+38 -3.40282e+38 -3.40282e+38
bbox_max: 3.40282e+38 3.40282e+38 3.40282e+38

Reading workspace...
Loading workspace data with 8 threads...
Elapsed time: 0.021 [minutes]
Reading configuration...
Starting fusion with 8 threads
Fusing image [1/100] with index 0 in 2.167s (36527 points)
Fusing image [2/100] with index 36 in 0.655s (50311 points)
Fusing image [3/100] with index 61 in 0.568s (61807 points)
..........
..........
Number of fused points: 493937
Elapsed time: 0.399 [minutes]
Writing output: dense/fused.ply

8. 网格重建

这最后一步COLMAP命令行模式下使用起来比较复杂,建议在meshlab软件中操作。首先用meshlab打开 fused.ply

在这里插入图片描述

选择 “Filters”->“Remeshing, Simplification and Reconstruction”->“Surface Reconstruction: Screened Poisson”,参数可以自行调节。

在这里插入图片描述

这里建议将 Adaptive Octree Depth 调为和 Reconstruction Depth 一致。该数值为重建网格的分辨率,设置为COLMAP利用已知相机内外参重建NeRF的blender模型即为COLMAP利用已知相机内外参重建NeRF的blender模型的分辨率。点击 **“Apply”**开始重建,在meshlab中观察重建好的mesh效果如下:

在这里插入图片描述

之后选择 “File”->“Export Mesh” 保存重建好的mesh即可。

总结

COLMAP的重建流程比较复杂,最后总结一下所有用到的命令:

0. 构造数据集

准备好images里的图片和对应的相机参数文件transforms_train.json,然后
python blender_camera2colmap.py

1. 抽取图像特征
colmap feature_extractor --database_path database.db --image_path images

2. 自动导入指定相机内参

python transform_colmap_camera.py

3. 特征匹配

colmap exhaustive_matcher --database_path database.db

4. 三角测量

colmap point_triangulator --database_path database.db --image_path images --input_path created/sparse --output_path triangulated/sparse

5. 使用指定相机参数进行稠密重建

先在 colmap gui 中导出points3D.txt覆盖到created/sparse里,然后
colmap image_undistorter --image_path images --input_path created/sparse --output_path dense

6. 立体匹配
 
colmap patch_match_stereo --workspace_path dense

7. 稠密点云融合

colmap stereo_fusion --workspace_path dense --output_path dense/fused.ply

8. 网格重建

在meshlab使用泊松重建

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