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hesuicong committed 2025-07-21 10:09:12 +08:00
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import numpy as np
def calculate_distance(w2c1: np.ndarray, w2c2: np.ndarray) -> float:
'''
计算两个相机之间的距离
Args:
w2c1: 相机1的世界坐标到相机坐标变换矩阵
w2c2: 相机2的世界坐标到相机坐标变换矩阵
Returns:
float: 两个相机之间的距离
'''
return np.linalg.norm(w2c1[:3, 3] - w2c2[:3, 3])
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#
# Copyright (C) 2023, Inria
# GRAPHDECO research group, https://team.inria.fr/graphdeco
# All rights reserved.
#
# This software is free for non-commercial, research and evaluation use
# under the terms of the LICENSE.md file.
#
# For inquiries contact george.drettakis@inria.fr
#
import numpy as np
import collections
import struct
import math
import os
CameraModel = collections.namedtuple(
"CameraModel", ["model_id", "model_name", "num_params"]
)
Camera = collections.namedtuple("Camera", ["id", "model", "width", "height", "params"])
BaseImage = collections.namedtuple(
"Image", ["id", "qvec", "tvec", "camera_id", "name", "xys", "point3D_ids"]
)
Point3D = collections.namedtuple(
"Point3D", ["id", "xyz", "rgb", "error", "image_ids", "point2D_idxs"]
)
CAMERA_MODELS = {
CameraModel(model_id=0, model_name="SIMPLE_PINHOLE", num_params=3),
CameraModel(model_id=1, model_name="PINHOLE", num_params=4),
CameraModel(model_id=2, model_name="SIMPLE_RADIAL", num_params=4),
CameraModel(model_id=3, model_name="RADIAL", num_params=5),
CameraModel(model_id=4, model_name="OPENCV", num_params=8),
CameraModel(model_id=5, model_name="OPENCV_FISHEYE", num_params=8),
CameraModel(model_id=6, model_name="FULL_OPENCV", num_params=12),
CameraModel(model_id=7, model_name="FOV", num_params=5),
CameraModel(model_id=8, model_name="SIMPLE_RADIAL_FISHEYE", num_params=4),
CameraModel(model_id=9, model_name="RADIAL_FISHEYE", num_params=5),
CameraModel(model_id=10, model_name="THIN_PRISM_FISHEYE", num_params=12),
}
CAMERA_MODEL_IDS = dict(
[(camera_model.model_id, camera_model) for camera_model in CAMERA_MODELS]
)
CAMERA_MODEL_NAMES = dict(
[(camera_model.model_name, camera_model) for camera_model in CAMERA_MODELS]
)
def qvec2rotmat(qvec):
return np.array(
[
[
1 - 2 * qvec[2] ** 2 - 2 * qvec[3] ** 2,
2 * qvec[1] * qvec[2] - 2 * qvec[0] * qvec[3],
2 * qvec[3] * qvec[1] + 2 * qvec[0] * qvec[2],
],
[
2 * qvec[1] * qvec[2] + 2 * qvec[0] * qvec[3],
1 - 2 * qvec[1] ** 2 - 2 * qvec[3] ** 2,
2 * qvec[2] * qvec[3] - 2 * qvec[0] * qvec[1],
],
[
2 * qvec[3] * qvec[1] - 2 * qvec[0] * qvec[2],
2 * qvec[2] * qvec[3] + 2 * qvec[0] * qvec[1],
1 - 2 * qvec[1] ** 2 - 2 * qvec[2] ** 2,
],
]
)
def rotmat2qvec(R):
Rxx, Ryx, Rzx, Rxy, Ryy, Rzy, Rxz, Ryz, Rzz = R.flat
K = (
np.array(
[
[Rxx - Ryy - Rzz, 0, 0, 0],
[Ryx + Rxy, Ryy - Rxx - Rzz, 0, 0],
[Rzx + Rxz, Rzy + Ryz, Rzz - Rxx - Ryy, 0],
[Ryz - Rzy, Rzx - Rxz, Rxy - Ryx, Rxx + Ryy + Rzz],
]
)
/ 3.0
)
eigvals, eigvecs = np.linalg.eigh(K)
qvec = eigvecs[[3, 0, 1, 2], np.argmax(eigvals)]
if qvec[0] < 0:
qvec *= -1
return qvec
class Image(BaseImage):
def qvec2rotmat(self):
return qvec2rotmat(self.qvec)
def read_next_bytes(fid, num_bytes, format_char_sequence, endian_character="<"):
"""Read and unpack the next bytes from a binary file.
:param fid:
:param num_bytes: Sum of combination of {2, 4, 8}, e.g. 2, 6, 16, 30, etc.
:param format_char_sequence: List of {c, e, f, d, h, H, i, I, l, L, q, Q}.
:param endian_character: Any of {@, =, <, >, !}
:return: Tuple of read and unpacked values.
"""
data = fid.read(num_bytes)
return struct.unpack(endian_character + format_char_sequence, data)
def read_points3D_text(path):
"""
see: src/base/reconstruction.cc
void Reconstruction::ReadPoints3DText(const std::string& path)
void Reconstruction::WritePoints3DText(const std::string& path)
"""
xyzs = None
rgbs = None
errors = None
num_points = 0
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
num_points += 1
xyzs = np.empty((num_points, 3))
rgbs = np.empty((num_points, 3))
errors = np.empty((num_points, 1))
count = 0
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
elems = line.split()
xyz = np.array(tuple(map(float, elems[1:4])))
rgb = np.array(tuple(map(int, elems[4:7])))
error = np.array(float(elems[7]))
xyzs[count] = xyz
rgbs[count] = rgb
errors[count] = error
count += 1
return xyzs, rgbs, errors
def read_points3D_binary(path_to_model_file):
"""
see: src/base/reconstruction.cc
void Reconstruction::ReadPoints3DBinary(const std::string& path)
void Reconstruction::WritePoints3DBinary(const std::string& path)
"""
with open(path_to_model_file, "rb") as fid:
num_points = read_next_bytes(fid, 8, "Q")[0]
xyzs = np.empty((num_points, 3))
rgbs = np.empty((num_points, 3))
errors = np.empty((num_points, 1))
for p_id in range(num_points):
binary_point_line_properties = read_next_bytes(
fid, num_bytes=43, format_char_sequence="QdddBBBd"
)
xyz = np.array(binary_point_line_properties[1:4])
rgb = np.array(binary_point_line_properties[4:7])
error = np.array(binary_point_line_properties[7])
track_length = read_next_bytes(fid, num_bytes=8, format_char_sequence="Q")[
0
]
track_elems = read_next_bytes(
fid,
num_bytes=8 * track_length,
format_char_sequence="ii" * track_length,
)
xyzs[p_id] = xyz
rgbs[p_id] = rgb
errors[p_id] = error
return xyzs, rgbs, errors
def read_intrinsics_text(path):
"""
Taken from https://github.com/colmap/colmap/blob/dev/scripts/python/read_write_model.py
"""
cameras = {}
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
elems = line.split()
camera_id = int(elems[0])
model = elems[1]
assert (
model == "PINHOLE"
), "While the loader support other types, the rest of the code assumes PINHOLE"
width = int(elems[2])
height = int(elems[3])
params = np.array(tuple(map(float, elems[4:])))
cameras[camera_id] = Camera(
id=camera_id, model=model, width=width, height=height, params=params
)
return cameras
def read_extrinsics_binary(path_to_model_file):
"""
see: src/base/reconstruction.cc
void Reconstruction::ReadImagesBinary(const std::string& path)
void Reconstruction::WriteImagesBinary(const std::string& path)
"""
images = {}
with open(path_to_model_file, "rb") as fid:
num_reg_images = read_next_bytes(fid, 8, "Q")[0]
for _ in range(num_reg_images):
binary_image_properties = read_next_bytes(
fid, num_bytes=64, format_char_sequence="idddddddi"
)
image_id = binary_image_properties[0]
qvec = np.array(binary_image_properties[1:5])
tvec = np.array(binary_image_properties[5:8])
camera_id = binary_image_properties[8]
image_name = ""
current_char = read_next_bytes(fid, 1, "c")[0]
while current_char != b"\x00": # look for the ASCII 0 entry
image_name += current_char.decode("utf-8")
current_char = read_next_bytes(fid, 1, "c")[0]
num_points2D = read_next_bytes(fid, num_bytes=8, format_char_sequence="Q")[
0
]
x_y_id_s = read_next_bytes(
fid,
num_bytes=24 * num_points2D,
format_char_sequence="ddq" * num_points2D,
)
xys = np.column_stack(
[tuple(map(float, x_y_id_s[0::3])), tuple(map(float, x_y_id_s[1::3]))]
)
point3D_ids = np.array(tuple(map(int, x_y_id_s[2::3])))
images[image_id] = Image(
id=image_id,
qvec=qvec,
tvec=tvec,
camera_id=camera_id,
name=image_name,
xys=xys,
point3D_ids=point3D_ids,
)
return images
def read_intrinsics_binary(path_to_model_file):
"""
see: src/base/reconstruction.cc
void Reconstruction::WriteCamerasBinary(const std::string& path)
void Reconstruction::ReadCamerasBinary(const std::string& path)
"""
cameras = {}
with open(path_to_model_file, "rb") as fid:
num_cameras = read_next_bytes(fid, 8, "Q")[0]
for _ in range(num_cameras):
camera_properties = read_next_bytes(
fid, num_bytes=24, format_char_sequence="iiQQ"
)
camera_id = camera_properties[0]
model_id = camera_properties[1]
model_name = CAMERA_MODEL_IDS[camera_properties[1]].model_name
width = camera_properties[2]
height = camera_properties[3]
num_params = CAMERA_MODEL_IDS[model_id].num_params
params = read_next_bytes(
fid, num_bytes=8 * num_params, format_char_sequence="d" * num_params
)
cameras[camera_id] = Camera(
id=camera_id,
model=model_name,
width=width,
height=height,
params=np.array(params),
)
assert len(cameras) == num_cameras
return cameras
def focal2fov(focal, pixels):
return 2 * math.atan(pixels / (2 * focal))
def read_extrinsics_text(path):
"""
Taken from https://github.com/colmap/colmap/blob/dev/scripts/python/read_write_model.py
"""
images = {}
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
elems = line.split()
image_id = int(elems[0])
qvec = np.array(tuple(map(float, elems[1:5])))
tvec = np.array(tuple(map(float, elems[5:8])))
camera_id = int(elems[8])
image_name = elems[9]
elems = fid.readline().split()
xys = np.column_stack(
[tuple(map(float, elems[0::3])), tuple(map(float, elems[1::3]))]
)
point3D_ids = np.array(tuple(map(int, elems[2::3])))
images[image_id] = Image(
id=image_id,
qvec=qvec,
tvec=tvec,
camera_id=camera_id,
name=image_name,
xys=xys,
point3D_ids=point3D_ids,
)
return images
def read_colmap_bin_array(path):
"""
Taken from https://github.com/colmap/colmap/blob/dev/scripts/python/read_dense.py
:param path: path to the colmap binary file.
:return: nd array with the floating point values in the value
"""
with open(path, "rb") as fid:
width, height, channels = np.genfromtxt(
fid, delimiter="&", max_rows=1, usecols=(0, 1, 2), dtype=int
)
fid.seek(0)
num_delimiter = 0
byte = fid.read(1)
while True:
if byte == b"&":
num_delimiter += 1
if num_delimiter >= 3:
break
byte = fid.read(1)
array = np.fromfile(fid, np.float32)
array = array.reshape((width, height, channels), order="F")
return np.transpose(array, (1, 0, 2)).squeeze()
def read_next_bytes(fid, num_bytes, format_char_sequence, endian_character="<"):
"""Read and unpack the next bytes from a binary file.
:param fid:
:param num_bytes: Sum of combination of {2, 4, 8}, e.g. 2, 6, 16, 30, etc.
:param format_char_sequence: List of {c, e, f, d, h, H, i, I, l, L, q, Q}.
:param endian_character: Any of {@, =, <, >, !}
:return: Tuple of read and unpacked values.
"""
data = fid.read(num_bytes)
return struct.unpack(endian_character + format_char_sequence, data)
def write_next_bytes(fid, data, format_char_sequence, endian_character="<"):
"""pack and write to a binary file.
:param fid:
:param data: data to send, if multiple elements are sent at the same time,
they should be encapsuled either in a list or a tuple
:param format_char_sequence: List of {c, e, f, d, h, H, i, I, l, L, q, Q}.
should be the same length as the data list or tuple
:param endian_character: Any of {@, =, <, >, !}
"""
if isinstance(data, (list, tuple)):
bytes = struct.pack(endian_character + format_char_sequence, *data)
else:
bytes = struct.pack(endian_character + format_char_sequence, data)
fid.write(bytes)
def read_cameras_text(path):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::WriteCamerasText(const std::string& path)
void Reconstruction::ReadCamerasText(const std::string& path)
"""
cameras = {}
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
elems = line.split()
camera_id = int(elems[0])
model = elems[1]
width = int(elems[2])
height = int(elems[3])
params = np.array(tuple(map(float, elems[4:])))
cameras[camera_id] = Camera(
id=camera_id,
model=model,
width=width,
height=height,
params=params,
)
return cameras
def read_cameras_binary(path_to_model_file):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::WriteCamerasBinary(const std::string& path)
void Reconstruction::ReadCamerasBinary(const std::string& path)
"""
cameras = {}
with open(path_to_model_file, "rb") as fid:
num_cameras = read_next_bytes(fid, 8, "Q")[0]
for _ in range(num_cameras):
camera_properties = read_next_bytes(
fid, num_bytes=24, format_char_sequence="iiQQ"
)
camera_id = camera_properties[0]
model_id = camera_properties[1]
model_name = CAMERA_MODEL_IDS[camera_properties[1]].model_name
width = camera_properties[2]
height = camera_properties[3]
num_params = CAMERA_MODEL_IDS[model_id].num_params
params = read_next_bytes(
fid,
num_bytes=8 * num_params,
format_char_sequence="d" * num_params,
)
cameras[camera_id] = Camera(
id=camera_id,
model=model_name,
width=width,
height=height,
params=np.array(params),
)
assert len(cameras) == num_cameras
return cameras
def write_cameras_text(cameras, path):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::WriteCamerasText(const std::string& path)
void Reconstruction::ReadCamerasText(const std::string& path)
"""
HEADER = (
"# Camera list with one line of data per camera:\n"
+ "# CAMERA_ID, MODEL, WIDTH, HEIGHT, PARAMS[]\n"
+ "# Number of cameras: {}\n".format(len(cameras))
)
with open(path, "w") as fid:
fid.write(HEADER)
for _, cam in cameras.items():
to_write = [cam.id, cam.model, cam.width, cam.height, *cam.params]
line = " ".join([str(elem) for elem in to_write])
fid.write(line + "\n")
def write_cameras_binary(cameras, path_to_model_file):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::WriteCamerasBinary(const std::string& path)
void Reconstruction::ReadCamerasBinary(const std::string& path)
"""
with open(path_to_model_file, "wb") as fid:
write_next_bytes(fid, len(cameras), "Q")
for _, cam in cameras.items():
model_id = CAMERA_MODEL_NAMES[cam.model].model_id
camera_properties = [cam.id, model_id, cam.width, cam.height]
write_next_bytes(fid, camera_properties, "iiQQ")
for p in cam.params:
write_next_bytes(fid, float(p), "d")
return cameras
def read_images_text(path):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadImagesText(const std::string& path)
void Reconstruction::WriteImagesText(const std::string& path)
"""
images = {}
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
elems = line.split()
image_id = int(elems[0])
qvec = np.array(tuple(map(float, elems[1:5])))
tvec = np.array(tuple(map(float, elems[5:8])))
camera_id = int(elems[8])
image_name = elems[9]
elems = fid.readline().split()
xys = np.column_stack(
[
tuple(map(float, elems[0::3])),
tuple(map(float, elems[1::3])),
]
)
point3D_ids = np.array(tuple(map(int, elems[2::3])))
images[image_id] = Image(
id=image_id,
qvec=qvec,
tvec=tvec,
camera_id=camera_id,
name=image_name,
xys=xys,
point3D_ids=point3D_ids,
)
return images
def read_images_binary(path_to_model_file):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadImagesBinary(const std::string& path)
void Reconstruction::WriteImagesBinary(const std::string& path)
"""
images = {}
with open(path_to_model_file, "rb") as fid:
num_reg_images = read_next_bytes(fid, 8, "Q")[0]
for _ in range(num_reg_images):
binary_image_properties = read_next_bytes(
fid, num_bytes=64, format_char_sequence="idddddddi"
)
image_id = binary_image_properties[0]
qvec = np.array(binary_image_properties[1:5])
tvec = np.array(binary_image_properties[5:8])
camera_id = binary_image_properties[8]
binary_image_name = b""
current_char = read_next_bytes(fid, 1, "c")[0]
while current_char != b"\x00": # look for the ASCII 0 entry
binary_image_name += current_char
current_char = read_next_bytes(fid, 1, "c")[0]
image_name = binary_image_name.decode("utf-8")
num_points2D = read_next_bytes(fid, num_bytes=8, format_char_sequence="Q")[
0
]
x_y_id_s = read_next_bytes(
fid,
num_bytes=24 * num_points2D,
format_char_sequence="ddq" * num_points2D,
)
xys = np.column_stack(
[
tuple(map(float, x_y_id_s[0::3])),
tuple(map(float, x_y_id_s[1::3])),
]
)
point3D_ids = np.array(tuple(map(int, x_y_id_s[2::3])))
images[image_id] = Image(
id=image_id,
qvec=qvec,
tvec=tvec,
camera_id=camera_id,
name=image_name,
xys=xys,
point3D_ids=point3D_ids,
)
return images
def write_images_text(images, path):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadImagesText(const std::string& path)
void Reconstruction::WriteImagesText(const std::string& path)
"""
if len(images) == 0:
mean_observations = 0
else:
mean_observations = sum(
(len(img.point3D_ids) for _, img in images.items())
) / len(images)
HEADER = (
"# Image list with two lines of data per image:\n"
+ "# IMAGE_ID, QW, QX, QY, QZ, TX, TY, TZ, CAMERA_ID, NAME\n"
+ "# POINTS2D[] as (X, Y, POINT3D_ID)\n"
+ "# Number of images: {}, mean observations per image: {}\n".format(
len(images), mean_observations
)
)
with open(path, "w") as fid:
fid.write(HEADER)
for _, img in images.items():
image_header = [
img.id,
*img.qvec,
*img.tvec,
img.camera_id,
img.name,
]
first_line = " ".join(map(str, image_header))
fid.write(first_line + "\n")
points_strings = []
for xy, point3D_id in zip(img.xys, img.point3D_ids):
points_strings.append(" ".join(map(str, [*xy, point3D_id])))
fid.write(" ".join(points_strings) + "\n")
def write_images_binary(images, path_to_model_file):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadImagesBinary(const std::string& path)
void Reconstruction::WriteImagesBinary(const std::string& path)
"""
with open(path_to_model_file, "wb") as fid:
write_next_bytes(fid, len(images), "Q")
for _, img in images.items():
write_next_bytes(fid, img.id, "i")
write_next_bytes(fid, img.qvec.tolist(), "dddd")
write_next_bytes(fid, img.tvec.tolist(), "ddd")
write_next_bytes(fid, img.camera_id, "i")
for char in img.name:
write_next_bytes(fid, char.encode("utf-8"), "c")
write_next_bytes(fid, b"\x00", "c")
write_next_bytes(fid, len(img.point3D_ids), "Q")
for xy, p3d_id in zip(img.xys, img.point3D_ids):
write_next_bytes(fid, [*xy, p3d_id], "ddq")
def read_points3D_text(path):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadPoints3DText(const std::string& path)
void Reconstruction::WritePoints3DText(const std::string& path)
"""
points3D = {}
with open(path, "r") as fid:
while True:
line = fid.readline()
if not line:
break
line = line.strip()
if len(line) > 0 and line[0] != "#":
elems = line.split()
point3D_id = int(elems[0])
xyz = np.array(tuple(map(float, elems[1:4])))
rgb = np.array(tuple(map(int, elems[4:7])))
error = float(elems[7])
image_ids = np.array(tuple(map(int, elems[8::2])))
point2D_idxs = np.array(tuple(map(int, elems[9::2])))
points3D[point3D_id] = Point3D(
id=point3D_id,
xyz=xyz,
rgb=rgb,
error=error,
image_ids=image_ids,
point2D_idxs=point2D_idxs,
)
return points3D
def read_points3D_binary(path_to_model_file):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadPoints3DBinary(const std::string& path)
void Reconstruction::WritePoints3DBinary(const std::string& path)
"""
points3D = {}
with open(path_to_model_file, "rb") as fid:
num_points = read_next_bytes(fid, 8, "Q")[0]
for _ in range(num_points):
binary_point_line_properties = read_next_bytes(
fid, num_bytes=43, format_char_sequence="QdddBBBd"
)
point3D_id = binary_point_line_properties[0]
xyz = np.array(binary_point_line_properties[1:4])
rgb = np.array(binary_point_line_properties[4:7])
error = np.array(binary_point_line_properties[7])
track_length = read_next_bytes(fid, num_bytes=8, format_char_sequence="Q")[
0
]
track_elems = read_next_bytes(
fid,
num_bytes=8 * track_length,
format_char_sequence="ii" * track_length,
)
image_ids = np.array(tuple(map(int, track_elems[0::2])))
point2D_idxs = np.array(tuple(map(int, track_elems[1::2])))
points3D[point3D_id] = Point3D(
id=point3D_id,
xyz=xyz,
rgb=rgb,
error=error,
image_ids=image_ids,
point2D_idxs=point2D_idxs,
)
return points3D
def write_points3D_text(points3D, path):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadPoints3DText(const std::string& path)
void Reconstruction::WritePoints3DText(const std::string& path)
"""
if len(points3D) == 0:
mean_track_length = 0
else:
mean_track_length = sum(
(len(pt.image_ids) for _, pt in points3D.items())
) / len(points3D)
HEADER = (
"# 3D point list with one line of data per point:\n"
+ "# POINT3D_ID, X, Y, Z, R, G, B, ERROR, TRACK[] as (IMAGE_ID, POINT2D_IDX)\n"
+ "# Number of points: {}, mean track length: {}\n".format(
len(points3D), mean_track_length
)
)
with open(path, "w") as fid:
fid.write(HEADER)
for _, pt in points3D.items():
point_header = [pt.id, *pt.xyz, *pt.rgb, pt.error]
fid.write(" ".join(map(str, point_header)) + " ")
track_strings = []
for image_id, point2D in zip(pt.image_ids, pt.point2D_idxs):
track_strings.append(" ".join(map(str, [image_id, point2D])))
fid.write(" ".join(track_strings) + "\n")
def write_points3D_binary(points3D, path_to_model_file):
"""
see: src/colmap/scene/reconstruction.cc
void Reconstruction::ReadPoints3DBinary(const std::string& path)
void Reconstruction::WritePoints3DBinary(const std::string& path)
"""
with open(path_to_model_file, "wb") as fid:
write_next_bytes(fid, len(points3D), "Q")
for _, pt in points3D.items():
write_next_bytes(fid, pt.id, "Q")
write_next_bytes(fid, pt.xyz.tolist(), "ddd")
write_next_bytes(fid, pt.rgb.tolist(), "BBB")
write_next_bytes(fid, pt.error, "d")
track_length = pt.image_ids.shape[0]
write_next_bytes(fid, track_length, "Q")
for image_id, point2D_id in zip(pt.image_ids, pt.point2D_idxs):
write_next_bytes(fid, [image_id, point2D_id], "ii")
def detect_model_format(path, ext):
if (
os.path.isfile(os.path.join(path, "cameras" + ext))
and os.path.isfile(os.path.join(path, "images" + ext))
and os.path.isfile(os.path.join(path, "points3D" + ext))
):
print("Detected model format: '" + ext + "'")
return True
return False
def read_model(path, ext=""):
# try to detect the extension automatically
if ext == "":
if detect_model_format(path, ".bin"):
ext = ".bin"
elif detect_model_format(path, ".txt"):
ext = ".txt"
else:
print("Provide model format: '.bin' or '.txt'")
return
if ext == ".txt":
cameras = read_cameras_text(os.path.join(path, "cameras" + ext))
images = read_images_text(os.path.join(path, "images" + ext))
points3D = read_points3D_text(os.path.join(path, "points3D") + ext)
else:
cameras = read_cameras_binary(os.path.join(path, "cameras" + ext))
images = read_images_binary(os.path.join(path, "images" + ext))
points3D = read_points3D_binary(os.path.join(path, "points3D") + ext)
return cameras, images, points3D
def write_model(cameras, images, points3D, path, ext=".bin"):
if ext == ".txt":
write_cameras_text(cameras, os.path.join(path, "cameras" + ext))
write_images_text(images, os.path.join(path, "images" + ext))
write_points3D_text(points3D, os.path.join(path, "points3D") + ext)
else:
write_cameras_binary(cameras, os.path.join(path, "cameras" + ext))
write_images_binary(images, os.path.join(path, "images" + ext))
write_points3D_binary(points3D, os.path.join(path, "points3D") + ext)
return cameras, images, points3D
def qvec2rotmat(qvec):
return np.array(
[
[
1 - 2 * qvec[2] ** 2 - 2 * qvec[3] ** 2,
2 * qvec[1] * qvec[2] - 2 * qvec[0] * qvec[3],
2 * qvec[3] * qvec[1] + 2 * qvec[0] * qvec[2],
],
[
2 * qvec[1] * qvec[2] + 2 * qvec[0] * qvec[3],
1 - 2 * qvec[1] ** 2 - 2 * qvec[3] ** 2,
2 * qvec[2] * qvec[3] - 2 * qvec[0] * qvec[1],
],
[
2 * qvec[3] * qvec[1] - 2 * qvec[0] * qvec[2],
2 * qvec[2] * qvec[3] + 2 * qvec[0] * qvec[1],
1 - 2 * qvec[1] ** 2 - 2 * qvec[2] ** 2,
],
]
)
def rotmat2qvec(R):
Rxx, Ryx, Rzx, Rxy, Ryy, Rzy, Rxz, Ryz, Rzz = R.flat
K = (
np.array(
[
[Rxx - Ryy - Rzz, 0, 0, 0],
[Ryx + Rxy, Ryy - Rxx - Rzz, 0, 0],
[Rzx + Rxz, Rzy + Ryz, Rzz - Rxx - Ryy, 0],
[Ryz - Rzy, Rzx - Rxz, Rxy - Ryx, Rxx + Ryy + Rzz],
]
)
/ 3.0
)
eigvals, eigvecs = np.linalg.eigh(K)
qvec = eigvecs[[3, 0, 1, 2], np.argmax(eigvals)]
if qvec[0] < 0:
qvec *= -1
return qvec
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import numpy as np
import open3d as o3d
from utils.get_pose_matrix import get_c2w,get_w2c
def get_cam_infos(images: dict, cameras:dict):
cam_infos = {}
for image_id, image_info in images.items():
camera_info = cameras[image_info.camera_id]
fx = camera_info.params[0]
fy = camera_info.params[1]
cx = camera_info.params[2]
cy = camera_info.params[3]
width = camera_info.width
height = camera_info.height
name = image_info.name
cam_infos[image_id] = {
"name": name,
"w2c": get_w2c(image_info.qvec, image_info.tvec),
"c2w": get_c2w(image_info.qvec, image_info.tvec),
"width": camera_info.width,
"height": camera_info.height,
"intrinsics": o3d.camera.PinholeCameraIntrinsic(
width,
height,
fx=fx,
fy=fy,
cx=cx,
cy=cy
),
"K": np.array([
[fx, 0, cx],
[0, fy, cy],
[0, 0, 1]
])
}
return cam_infos
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'''
获取Mesh的深度图
required:
- open3d
- numpy
'''
import open3d as o3d
import numpy as np
def get_depth(w2c: np.ndarray, intrinsic: o3d.camera.PinholeCameraIntrinsic, render: o3d.visualization.rendering.OffscreenRenderer) -> o3d.geometry.Image:
'''
获取rgbd图像
param:
mesh: 需要渲染的mesh
w2c: 世界坐标系到相机坐标系的变换矩阵
K: 相机内参
render: 渲染器
'''
render.setup_camera(intrinsic, w2c)
depth = render.render_to_depth_image(z_in_view_space=True)
return np.asarray(depth)
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import numpy as np
import cv2
def create_depth_difference_mask(depth1: np.ndarray, depth2: np.ndarray,
threshold: float = 0.1,
gaussian_kernel: int = 5,
min_region_size: int = 50) -> tuple[np.ndarray, np.ndarray]:
"""
创建两个深度图之间差异的掩码图像,返回原始掩码和滤波后的掩码
Args:
depth1: 第一个深度图
depth2: 第二个深度图
threshold: 判定为不一致的深度差异阈值
gaussian_kernel: 高斯滤波核大小
min_region_size: 最小连通区域大小,小于该值的区域将被过滤掉
Returns:
tuple[np.ndarray, np.ndarray]:
- raw_mask: 原始差异掩码,未经滤波处理
- filtered_mask: 经过滤波处理后的差异掩码
"""
# 创建有效区域的掩码(两个深度图都有有效值的区域)
valid_mask = (depth1 > 0) & (depth2 > 0)
# 计算深度差异
diff = np.abs(depth1 - depth2)
diff[~valid_mask] = 0
# 创建原始差异掩码
raw_mask = np.zeros_like(depth1, dtype=np.uint8)
raw_mask[valid_mask & (diff > threshold)] = 255
# 对原始掩码进行高斯滤波
filtered_mask = cv2.GaussianBlur(raw_mask, (gaussian_kernel, gaussian_kernel), 0)
# 重新二值化
_, filtered_mask = cv2.threshold(filtered_mask, 127, 255, cv2.THRESH_BINARY)
# 应用形态学操作
kernel = cv2.getStructuringElement(cv2.MORPH_ELLIPSE, (3, 3))
filtered_mask = cv2.morphologyEx(filtered_mask, cv2.MORPH_OPEN, kernel) # 开运算去除小噪点
filtered_mask = cv2.morphologyEx(filtered_mask, cv2.MORPH_CLOSE, kernel) # 闭运算填充小孔
# 连通区域分析和过滤
if min_region_size > 0:
num_labels, labels, stats, centroids = cv2.connectedComponentsWithStats(filtered_mask, connectivity=8)
for i in range(1, num_labels): # 从1开始,跳过背景
if stats[i, cv2.CC_STAT_AREA] < min_region_size:
filtered_mask[labels == i] = 0
return raw_mask, filtered_mask
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'''
获取pose矩阵
required:
- numpy
'''
import numpy as np
from scipy.spatial.transform import Rotation
def qvec2rotmat(qvec):
'''将四元数转换为旋转矩阵
Args:
qvec: 四元数
Returns:
旋转矩阵
'''
return Rotation.from_quat([qvec[1], qvec[2], qvec[3], qvec[0]]).as_matrix()
"""
return np.array(
[
[
1 - 2 * qvec[2] ** 2 - 2 * qvec[3] ** 2,
2 * qvec[1] * qvec[2] - 2 * qvec[0] * qvec[3],
2 * qvec[3] * qvec[1] + 2 * qvec[0] * qvec[2],
],
[
2 * qvec[1] * qvec[2] + 2 * qvec[0] * qvec[3],
1 - 2 * qvec[1] ** 2 - 2 * qvec[3] ** 2,
2 * qvec[2] * qvec[3] - 2 * qvec[0] * qvec[1],
],
[
2 * qvec[3] * qvec[1] - 2 * qvec[0] * qvec[2],
2 * qvec[2] * qvec[3] + 2 * qvec[0] * qvec[1],
1 - 2 * qvec[1] ** 2 - 2 * qvec[2] ** 2,
],
]
)
#"""
def get_w2c(qvec: list, tvec: list) -> np.ndarray:
'''获取世界坐标系到相机坐标系的变换矩阵
Args:
qvec: 四元数
tvec: 平移向量
Returns:
世界坐标系到相机坐标系的变换矩阵
'''
#"""
w2c = np.eye(4).astype(np.float64)
w2c[:3, :3] = qvec2rotmat(qvec)
w2c[:3, 3] = tvec
#"""
"""
R = qvec2rotmat(qvec) # 相机到世界的旋转
R_w2c = R.T # 世界到相机的旋转
t_w2c = -R_w2c @ tvec # 平移分量
w2c = np.eye(4)
w2c[:3, :3] = R_w2c
w2c[:3, 3] = t_w2c
#"""
"""
R2 = Rotation.from_quat([qvec[0], qvec[1], qvec[2], qvec[3]]).as_matrix()
# w2c = [R | -R @ tvec]
w2c2 = np.eye(4)
w2c2[:3, :3] = R2
w2c2[:3, 3] = -R2 @ tvec
print("w2c", w2c)
print("w2c2", w2c2)
#"""
"""
w2c = np.eye(4).astype(np.float64)
R = qvec2rotmat(qvec)
w2c[:3, :3] = R.T
w2c[:3, 3] = -R @ tvec
#"""
"""
w2c = np.eye(4).astype(np.float64)
R = Rotation.from_quat([qvec[1], qvec[2], qvec[3], qvec[0]]).as_matrix()
# COLMAP的tvec是相机在世界坐标系中的位置,需取反
t = -R.T @ tvec
w2c = np.eye(4)
w2c[:3, :3] = R.T # 旋转部分
w2c[:3, 3] = t # 平移部分
#"""
return w2c
def get_c2w(qvec: list, tvec: list) -> np.ndarray:
'''获取相机坐标系到世界坐标系的变换矩阵
Args:
qvec: 四元数
tvec: 平移向量
Returns:
相机坐标系到世界坐标系的变换矩阵
'''
c2w = np.eye(4).astype(np.float64)
c2w[:3, :3] = qvec2rotmat(qvec).T
c2w[:3, 3] = -qvec2rotmat(qvec).T @ tvec
return c2w
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'''
获取Mesh的深度图
required:
- open3d
- numpy
- numba
'''
import open3d as o3d
import numpy as np
from numba import njit
@njit
def _process_all_points(Z, width, height, cx, cy, fx, fy, c2w):
"""JIT优化的所有点处理函数"""
# 手动创建像素网格(替代np.meshgrid)
u = np.zeros((height, width), dtype=np.float64)
v = np.zeros((height, width), dtype=np.float64)
for y in range(height):
for x in range(width):
u[y, x] = x
v[y, x] = y
# 创建输出数组
Z_all = np.zeros_like(Z)
# 手动处理有效点
for y in range(height):
for x in range(width):
if Z[y, x] > 0 and Z[y, x] < 1e9 and not np.isnan(Z[y, x]):
Z_all[y, x] = Z[y, x]
else:
Z_all[y, x] = -10000
# 计算所有点的3D坐标
X_all = (u - cx) * Z_all / fx
Y_all = (v - cy) * Z_all / fy
# 创建齐次坐标
points_3d = np.zeros((height * width, 4))
points_3d[:, 0] = X_all.reshape(-1)
points_3d[:, 1] = Y_all.reshape(-1)
points_3d[:, 2] = Z_all.reshape(-1)
points_3d[:, 3] = 1.0
# 坐标变换
return points_3d @ c2w.T
@njit
def _process_valid_points(Z, width, height, cx, cy, fx, fy, c2w):
"""JIT优化的有效点处理函数"""
# 首先计算有效点的数量
valid_count = 0
for y in range(height):
for x in range(width):
if Z[y, x] > 0 and Z[y, x] < 1e9 and not np.isnan(Z[y, x]):
valid_count += 1
# 创建输出数组
X_valid = np.zeros(valid_count)
Y_valid = np.zeros(valid_count)
Z_valid = np.zeros(valid_count)
# 填充有效点数据
idx = 0
for y in range(height):
for x in range(width):
if Z[y, x] > 0 and Z[y, x] < 1e9 and not np.isnan(Z[y, x]):
Z_valid[idx] = Z[y, x]
X_valid[idx] = (x - cx) * Z_valid[idx] / fx
Y_valid[idx] = (y - cy) * Z_valid[idx] / fy
idx += 1
# 创建齐次坐标
points_3d = np.zeros((valid_count, 4))
points_3d[:, 0] = X_valid
points_3d[:, 1] = Y_valid
points_3d[:, 2] = Z_valid
points_3d[:, 3] = 1.0
# 坐标变换
return points_3d @ c2w.T
def get_world_points(depth_map: o3d.geometry.Image, K: np.ndarray, c2w: np.ndarray, all_point: bool = False) -> np.ndarray:
'''
获取深度图对应的世界坐标点云
param:
depth_map: 深度图
K: 相机内参矩阵
c2w: 相机坐标系到世界坐标系的变换矩阵
all_point: 是否返回所有点(包括无效点)
return:
np.ndarray: 点云坐标(世界坐标系)
- 当all_point=False时:只包含有效深度值的点云
- 当all_point=True时:包含所有点的点云,无效点深度值设为10000
'''
# 转换为numpy数组
Z = np.asarray(depth_map)
height, width = Z.shape
# 获取内参
fx, fy = K[0, 0], K[1, 1]
cx, cy = K[0, 2], K[1, 2]
# 确保数据类型兼容性(Numba要求)
Z = Z.astype(np.float64)
c2w = c2w.astype(np.float64)
if all_point:
return _process_all_points(Z, width, height, cx, cy, fx, fy, c2w)
else:
return _process_valid_points(Z, width, height, cx, cy, fx, fy, c2w)
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'''
将点云投影到新的图像上
required:
- numpy
'''
import numpy as np
def project_to_image(world_points: np.ndarray, w2c: np.ndarray,
K: np.ndarray, width: int, height: int) -> np.ndarray:
'''
将点云投影到新的图像上,生成深度图
Args:
world_points: 世界坐标点云,形状为(N, 4)的齐次坐标
w2c: 世界坐标到相机坐标变换矩阵 (4x4)
K: 相机内参矩阵 (3x3)
width: 图像宽度
height: 图像高度
Returns:
深度图,值为无穷大表示没有投影到该像素的点
'''
# 检查输入数据的维度
if world_points.shape[1] != 4:
raise ValueError(f"世界点云应为齐次坐标 (N,4),但得到 {world_points.shape}")
# 初始化深度图
depth_image = np.full((height, width), np.inf, dtype=np.float32)
# 将世界坐标系点转换到相机坐标系
points_camera = (w2c @ world_points.T).T
# 筛选相机前方的点 (z > 0)
valid_mask = points_camera[:, 2] > 0
points_camera = points_camera[valid_mask]
if len(points_camera) == 0:
return depth_image
# 投影到归一化图像平面 - 修复广播错误
# 只使用深度值z进行归一化,而不是整个z之后的子数组
z_values = points_camera[:, 2:3] # 使用 2:3 保持列向量形式
points_normalized = points_camera[:, :3] / z_values
# 应用相机内参矩阵
points_image = (K @ points_normalized[:, :3].T).T
# 提取像素坐标和深度值
x_pixels = np.round(points_image[:, 0]).astype(int)
y_pixels = np.round(points_image[:, 1]).astype(int)
depths = points_camera[:, 2]
# 筛选出图像范围内的点
inbounds = (x_pixels >= 0) & (x_pixels < width) & (y_pixels >= 0) & (y_pixels < height)
x_pixels = x_pixels[inbounds]
y_pixels = y_pixels[inbounds]
depths = depths[inbounds]
# 使用numpy的高级索引更新深度图 (更高效的实现)
# 为每个像素找到最小深度值
indices = y_pixels * width + x_pixels
np.minimum.at(depth_image.reshape(-1), indices, depths)
return depth_image