From 2ea19a691b1d7b3830248f32bfed95bc83e8f850 Mon Sep 17 00:00:00 2001 From: Yangtian <1900010617@pku.edu.cn> Date: Thu, 23 Nov 2023 03:19:21 +0800 Subject: [PATCH] 20231123 --- sgtapose/rf_tools/LM.py | 411 ++++++++++++++++++ .../rf_tools/__pycache__/LM.cpython-37.pyc | Bin 0 -> 21863 bytes .../rf_tools/__pycache__/LM.cpython-39.pyc | Bin 0 -> 21941 bytes sgtapose/rf_tools/libtestso_final.so | Bin 0 -> 1600680 bytes 4 files changed, 411 insertions(+) create mode 100644 sgtapose/rf_tools/LM.py create mode 100644 sgtapose/rf_tools/__pycache__/LM.cpython-37.pyc create mode 100644 sgtapose/rf_tools/__pycache__/LM.cpython-39.pyc create mode 100644 sgtapose/rf_tools/libtestso_final.so diff --git a/sgtapose/rf_tools/LM.py b/sgtapose/rf_tools/LM.py new file mode 100644 index 0000000..1b13898 --- /dev/null +++ b/sgtapose/rf_tools/LM.py @@ -0,0 +1,411 @@ +import time + +import numpy as np +import sympy as sp +import torch +import cv2 +import torch.nn.functional as F +from itertools import chain +import ctypes +so = ctypes.cdll.LoadLibrary("/DATA/disk1/hyperplane/robot_pose_3090/DREAM-master/dream_geo/rf_tools/libtestso_final.so") +def _sqrt_positive_part(x: torch.Tensor) -> torch.Tensor: + """ + Returns torch.sqrt(torch.max(0, x)) + but with a zero subgradient where x is 0. + """ + ret = torch.zeros_like(x) + positive_mask = x > 0 + ret[positive_mask] = torch.sqrt(x[positive_mask]) + return ret +def matrix_to_quaternion(matrix: torch.Tensor) -> torch.Tensor: + """ + Convert rotations given as rotation matrices to quaternions. + + Args: + matrix: Rotation matrices as tensor of shape (..., 3, 3). + + Returns: + quaternions with real part first, as tensor of shape (..., 4). + """ + if matrix.size(-1) != 3 or matrix.size(-2) != 3: + raise ValueError(f"Invalid rotation matrix shape {matrix.shape}.") + + batch_dim = matrix.shape[:-2] + m00, m01, m02, m10, m11, m12, m20, m21, m22 = torch.unbind( + matrix.reshape(batch_dim + (9,)), dim=-1 + ) + + q_abs = _sqrt_positive_part( + torch.stack( + [ + 1.0 + m00 + m11 + m22, + 1.0 + m00 - m11 - m22, + 1.0 - m00 + m11 - m22, + 1.0 - m00 - m11 + m22, + ], + dim=-1, + ) + ) + + # we produce the desired quaternion multiplied by each of r, i, j, k + quat_by_rijk = torch.stack( + [ + torch.stack([q_abs[..., 0] ** 2, m21 - m12, m02 - m20, m10 - m01], dim=-1), + torch.stack([m21 - m12, q_abs[..., 1] ** 2, m10 + m01, m02 + m20], dim=-1), + torch.stack([m02 - m20, m10 + m01, q_abs[..., 2] ** 2, m12 + m21], dim=-1), + torch.stack([m10 - m01, m20 + m02, m21 + m12, q_abs[..., 3] ** 2], dim=-1), + ], + dim=-2, + ) + + # We floor here at 0.1 but the exact level is not important; if q_abs is small, + # the candidate won't be picked. + flr = torch.tensor(0.1).to(dtype=q_abs.dtype, device=q_abs.device) + quat_candidates = quat_by_rijk / (2.0 * q_abs[..., None].max(flr)) + + # if not for numerical problems, quat_candidates[i] should be same (up to a sign), + # forall i; we pick the best-conditioned one (with the largest denominator) + + return quat_candidates[ + F.one_hot(q_abs.argmax(dim=-1), num_classes=4) > 0.5, : # pyre-ignore[16] + ].reshape(batch_dim + (4,)) +def quaternion_to_matrix(quaternions: torch.Tensor) -> torch.Tensor: + r, i, j, k = torch.unbind(quaternions, -1) + two_s = 2.0 / (quaternions * quaternions).sum(-1) + + o = torch.stack( + ( + 1 - two_s * (j * j + k * k), + two_s * (i * j - k * r), + two_s * (i * k + j * r), + two_s * (i * j + k * r), + 1 - two_s * (i * i + k * k), + two_s * (j * k - i * r), + two_s * (i * k - j * r), + two_s * (j * k + i * r), + 1 - two_s * (i * i + j * j), + ), + -1, + ) + return o.reshape(quaternions.shape[:-1] + (3, 3)) + + +def compute_rotation_matric_from_quaternion(quaternion): + quaternion_norm = quaternion / np.linalg.norm(quaternion) + qw, qx, qy, qz = quaternion_norm + xx = qx*qx + yy = qy*qy + zz = qz*qz + xy = qx*qy + xz = qx*qz + yz = qy*qz + xw = qx*qw + yw = qy*qw + zw = qz*qw + R = np.array([[1-2*yy-2*zz, 2*xy - 2*zw, 2*xz + 2*yw], + [2*xy+ 2*zw, 1-2*xx-2*zz, 2*yz-2*xw], + [2*xz-2*yw, 2*yz+2*xw, 1-2*xx-2*yy]]) + return R +def quaternion_multiply(q1, q2): + w1, x1, y1, z1 = q1 + w2, x2, y2, z2 = q2 + w_new = w1 * w2 - x1 * x2 - y1 * y2 - z1 * z2 + x_new = w1 * x2 + x1 * w2 + y1 * z2 - z1 * y2 + y_new = w1 * y2 - x1 * z2 + y1 * w2 + z1 * x2 + z_new = w1 * z2 + x1 * y2 - y1 * x2 + z1 * w2 + return np.array([w_new, x_new, y_new, z_new]) + +def get_new_point_from_quaternion(pt_input, quat): + pt_input = np.insert(pt_input, 0, 0.) + quat_conjugate = np.array([quat[0], -quat[1], -quat[2], -quat[3]]) + pt_new = quaternion_multiply(quaternion_multiply(quat, pt_input), quat_conjugate) + return np.array([pt_new[1], pt_new[2], pt_new[3]]) + + +# 功能:计算残差 +# 输入:当前更新变量的值value,测量点pc_input,目标点pc_target,全局符号变量global_symbols,每个点对应的权重weights +# 输出:当前value计算得到的残差 +def fun(value,x2d_input,x3d_input, weights,camera): + [[fx, _, cx], [_, fy, cy], [_, _, _]] = camera + f_dev = [] + qw = value[0] + qx = value[1] + qy = value[2] + qz = value[3] + tx = value[4] + ty = value[5] + tz = value[6] + for i in range(len(x2d_input)): + x3d_tmp = x3d_input[i] + x2d_tmp = x2d_input[i] + weight_tmp = weights[i] + x3d = x3d_tmp[0] + y3d = x3d_tmp[1] + z3d = x3d_tmp[2] + x2d = x2d_tmp[0] + y2d = x2d_tmp[1] + wx2d = weight_tmp[0] + wy2d = weight_tmp[1] + + f_dev_i = wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))**2 + f_dev.append(f_dev_i) + f_dev_i = wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))**2 + f_dev.append(f_dev_i) + f_dev_constrain = 1e8*(qw**2 + qx**2 + qy**2 + qz**2 - 1)**2 + 1e8*(qw**2 + qx**2 + qy**2 + qz**2 - 1)**2 + f_dev.append(f_dev_constrain) + f_dev = np.array(f_dev) + + return f_dev + +# 功能:获得雅可比矩阵 +# 输入:当前更新变量的值value,测量点pc_input,目标点pc_target,全局符号变量global_symbols,每个点对应的权重weights +# 输出:当前value计算得到的雅可比矩阵 +def dfun(value,x2d_input,x3d_input,weights,camera): + [[fx, _, cx], [_, fy, cy], [_, _, _]] = camera + df = [] + qw = value[0] + qx = value[1] + qy = value[2] + qz = value[3] + tx = value[4] + ty = value[5] + tz = value[6] + for i in range(len(x2d_input)): + x3d_tmp = x3d_input[i] + x2d_tmp = x2d_input[i] + weight_tmp = weights[i] + x3d = x3d_tmp[0] + y3d = x3d_tmp[1] + z3d = x3d_tmp[2] + x2d = x2d_tmp[0] + y2d = x2d_tmp[1] + wx2d = weight_tmp[0] + wy2d = weight_tmp[1] + + df_0 = [] + df_0.append(wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cx*(2*qw*z3d + 2*qx*y3d - 2*qy*x3d) + fx*(2*qw*x3d + 2*qy*z3d - 2*qz*y3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))*(-2*qw*z3d - 2*qx*y3d + 2*qy*x3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_0.append(wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cx*(2*qw*y3d - 2*qx*z3d + 2*qz*x3d) + fx*(2*qx*x3d + 2*qy*y3d + 2*qz*z3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))*(-2*qw*y3d + 2*qx*z3d - 2*qz*x3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_0.append(wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cx*(-2*qw*x3d - 2*qy*z3d + 2*qz*y3d) + fx*(2*qw*z3d + 2*qx*y3d - 2*qy*x3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))*(2*qw*x3d + 2*qy*z3d - 2*qz*y3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_0.append(wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cx*(2*qx*x3d + 2*qy*y3d + 2*qz*z3d) + fx*(-2*qw*y3d + 2*qx*z3d - 2*qz*x3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))*(-2*qx*x3d - 2*qy*y3d - 2*qz*z3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_0.append(-2*fx*wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)) + df_0.append(0) + df_0.append(wx2d**2*(x2d - (cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*cx/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + 2*(cx*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fx*(qw*(qw*x3d + qy*z3d - qz*y3d) - qx*(-qx*x3d - qy*y3d - qz*z3d) + qy*(qw*z3d + qx*y3d - qy*x3d) - qz*(qw*y3d - qx*z3d + qz*x3d) + tx))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_1 = [] + df_1.append(wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cy*(2*qw*z3d + 2*qx*y3d - 2*qy*x3d) + fy*(2*qw*y3d - 2*qx*z3d + 2*qz*x3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))*(-2*qw*z3d - 2*qx*y3d + 2*qy*x3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_1.append(wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cy*(2*qw*y3d - 2*qx*z3d + 2*qz*x3d) + fy*(-2*qw*z3d - 2*qx*y3d + 2*qy*x3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))*(-2*qw*y3d + 2*qx*z3d - 2*qz*x3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_1.append(wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cy*(-2*qw*x3d - 2*qy*z3d + 2*qz*y3d) + fy*(2*qx*x3d + 2*qy*y3d + 2*qz*z3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))*(2*qw*x3d + 2*qy*z3d - 2*qz*y3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_1.append(wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*(cy*(-2*qw*x3d - 2*qy*z3d + 2*qz*y3d) + fy*(2*qx*x3d + 2*qy*y3d + 2*qz*z3d))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) - 2*(cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))*(2*qw*x3d + 2*qy*z3d - 2*qz*y3d)/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df_1.append(0) + df_1.append(-2*fy*wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)) + df_1.append(wy2d**2*(y2d - (cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz))*(-2*cy/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + 2*(cy*(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz) + fy*(qw*(qw*y3d - qx*z3d + qz*x3d) - qx*(qw*z3d + qx*y3d - qy*x3d) - qy*(-qx*x3d - qy*y3d - qz*z3d) + qz*(qw*x3d + qy*z3d - qz*y3d) + ty))/(qw*(qw*z3d + qx*y3d - qy*x3d) + qx*(qw*y3d - qx*z3d + qz*x3d) - qy*(qw*x3d + qy*z3d - qz*y3d) - qz*(-qx*x3d - qy*y3d - qz*z3d) + tz)**2)) + df.append(df_0) + df.append(df_1) + df_constrain = [] + qw = value[0] + qx = value[1] + qy = value[2] + qz = value[3] + wx2d = 1e8 + wy2d = 1e8 + df_constrain.append(4*qw*wx2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1) + 4*qw*wy2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1)) + df_constrain.append(4*qx*wx2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1) + 4*qx*wy2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1)) + df_constrain.append(4*qy*wx2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1) + 4*qy*wy2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1)) + df_constrain.append(4*qz*wx2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1) + 4*qz*wy2d*(qw**2 + qx**2 + qy**2 + qz**2 - 1)) + df_constrain.append(0) + df_constrain.append(0) + df_constrain.append(0) + df.append(df_constrain) + df = np.array(df) + return df + + +def GN(value,x2d_input,x3d_input, weights,camera): + + i = 0 + delta = np.ones((7,1))*100 + while np.sum(abs(delta)) > 1e-4 and i < 200: + # 控制循环次数 + df = dfun(value,x2d_input,x3d_input,weights,camera) + f = fun(value,x2d_input,x3d_input, weights,camera) + value1 = value - np.dot(np.dot(np.linalg.inv(np.array(np.dot(df.T, df), dtype='float32') + 1e-4 * np.identity(df.shape[1])), df.T), f) + delta = value1 - value # 比较x的变化 + value = value1 + i += 1 + return value + + +# 功能:利用高斯牛顿实现加权迭代对齐 +# 输入:当前更新变量的值value,测量点pc_input,目标点pc_target,全局符号变量global_symbols,每个点对应的权重weights +# 输出:测量点到目标点的四元数以及平移矩阵 +def register_GN(x2d_input,x3d_input,quat_init,T_init,weights,camera): + + value_init = np.hstack((quat_init, T_init))[0] + # (value_init, x2d_input, x3d_input, weights, camera) = (np.array([-6.00401775e-01, 6.94723604e-01, 3.64914466e-01, -1.53994337e-01, + # 4.27258903e+02, 4.77330930e+02, 5.10517971e+02]), [[-23764.255859375, -28227.865234375], [9696.9287109375, 9325.146484375], [3059.188232421875, 3003.78857421875], [-2022.2001953125, -2832.12255859375], [12641.9052734375, 14991.693359375], [-6165.609375, -8699.5908203125], [5291.4384765625, 4608.4716796875]], [[403.0658264160156, 513.8037719726562, 550.1163330078125], [575.7579345703125, 502.5988464355469, 518.3341064453125], [365.4688720703125, 379.2112731933594, 474.35394287109375], [401.3437805175781, 620.1107788085938, 583.8678588867188], [484.8558044433594, 479.5791015625, 597.5640869140625], [250.0081787109375, 505.1006774902344, 541.8153076171875], [527.6553344726562, 464.54168701171875, 449.271240234375]], [[1.0, 1.0], [1.0, 1.0], [1.0, 1.0], [1.0, 1.0], [1.0, 1.0], [1.0, 1.0], [1.0, 1.0], [100000000.0, 100000000.0]], np.array([[615.5, 0. , 615.5], + # [ 0. , 320. , 240. ], + # [ 0. , 0. , 1. ]], dtype=float)) + + # print((value_init, x2d_input, x3d_input, weights, camera)) + # print(value_init, x2d_input, x3d_input, weights, camera,sep = '\n') + s = time.perf_counter() + value = GN(value_init,x2d_input,x3d_input, weights,camera) + ss = time.perf_counter() + print(ss-s) + return value[:4], value[4:] + +def register_GN_C(x2d_input_p,x3d_input_p,quat_init,T_init,weights,camera, num_points): + # quat_init(1,4,xyzw),T_init(1,3),x2d_input( num_points,2),x3d_input( num_points,3),weights( num_points+2,2),camera(3,3)) + value_init_l = (ctypes.c_double * 7)(quat_init[0, 0], quat_init[0, 1], quat_init[0, 2], quat_init[0, 3], T_init[0, 0], T_init[0, 1],T_init[0, 2]) + x2d_input = (ctypes.c_double * (num_points * 2))(*(list(chain.from_iterable(x2d_input_p)))) + x3d_input = (ctypes.c_double * (num_points * 3))(*(list(chain.from_iterable(x3d_input_p)))) + weightl = (ctypes.c_double * (num_points * 2 + 2))(*(list(chain.from_iterable(weights)))) + cameral = (ctypes.c_double * 9)(*list(chain.from_iterable(camera.tolist()))) + ans = (ctypes.c_double * 7)(*([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])) + so.LM(value_init_l, x2d_input, x3d_input, weightl, cameral, ans, num_points) + listans = np.array(list(ans)) + return listans[:4], listans[4:] + +def quaternion_normlize(quat): + norm = (np.dot(quat, quat.T)) ** 0.5 + return quat/(norm + 1e-8) +# 功能:设置点权重 +# 输入:点的数量num_pt +# 输出:点权重weights,其中weights[-1]为单位四元数约束的权重,其余权重顺序与点输入顺序一致 +def get_weights_without(num_pt): + weights = np.ones((num_pt+1,2), dtype=float) + weights[-1:] = 1e8 # 四元数约束项 + return weights.tolist() + +def get_weights(num_pt,distance): + weights = np.ones((num_pt+1,2), dtype=float) + for j in range(2): + for i in range(num_pt): + # if distance[i,j] > 100: + # weights[i,j] = 0 + # # elif distance[i,j] < 1: + # # weights[i,j] = 1 + # else: + # weights[i,j] = np.power(1000,(1-(distance[i,j]/100)))/1000 + + # some other choice + # if distance[i, j] > 1: + # weights[i,j] = 0 + # else: + # weights[i, j] = np.power(1, (1 - distance[i, j]/1)) * 1 + + # e ^ (-x) + # weights[i,j] = np.exp(- distance[i, j]) + + # e ^ (-2x) + # weights[i,j] = np.exp(- 2 * distance[i, j]) + + # e ^ (-5x) + # weights[i, j] = np.exp(-5 * distance[i, j]) + + # e ^ (-5.5x) + weights[i, j] = np.exp(-5 * distance[i, j]) + + # e ^ (-8x) + # weights[i, j] = np.exp(-8 * distance[i, j]) + + # e^(-15x) + # weights[i, j] = np.exp(- 15 * distance[i, j]) + + # distance[:, 0] /= (max(distance[:,0])) + # distance[:, 1] /= (max(distance[:, 1])) + # weights[0:-1] -= distance + # print(distance) + weights[-1:] = 1e8 # 四元数约束项 + # print(weights) + return weights.tolist() + +def get_weights_real(x2d_input,x3d_input,transform,camera): + num_points,_ = x2d_input.shape + weights = np.zeros((num_points+1,2)) + + for i in range(num_points): + x2d_tmp = x2d_input[i] + if(x2d_tmp[0] < -1000): + continue + x3,y3,z3 = x3d_input[i] + x3d_tmp = np.array([x3,y3,z3,1]) + x2d_rep = camera @ transform[0:3] @ x3d_tmp + x2d_rep[0]/=x2d_rep[2] + x2d_rep[1]/=x2d_rep[2] + x2d_rep = x2d_rep[0:2] + dis = (x2d_rep - x2d_tmp)**2 + for j in range(2): + if dis[j] > 100: + weights[i,j] = 0 + elif dis[j] < 1: + weights[i,j] = 1 + else: + weights[i,j] = np.power(1000,(1-(dis[j]/10)))/1000 + + weights[-1] = [1e8,1e8] + return weights,num_points + +def make_one_pose(n_points,camera_intrinsic): + translation_gt = ((torch.randn([1,3])+5) * 100).unsqueeze(2) + rotation_quaternion_gt = torch.randn(1,4) + rotation_quaternion_gt = F.normalize(rotation_quaternion_gt, dim=-1) # normalize to unit quaternion9 + rotation_matrix_gt = quaternion_to_matrix(rotation_quaternion_gt) + pose_extrinsics = torch.cat((rotation_matrix_gt,translation_gt),dim = -1) + + x3d = (torch.randn([n_points,3]) + 5) * 100 + x3d_h = torch.cat(((x3d, torch.ones(n_points,1))),dim = -1).unsqueeze(2) + x2d_h = torch.matmul(torch.from_numpy(camera_intrinsic),torch.matmul(pose_extrinsics, x3d_h)) + for i in range(n_points): + x2d_h[i, 0] /= x2d_h[i, 2] + x2d_h[i, 1] /= x2d_h[i, 2] + x2d_h[i, 2] /= x2d_h[i, 2] + x2d = x2d_h[:,:2].squeeze() + # x2d[4] += 2 + x3d_np = np.array(x3d, dtype=np.float64) + x2d_np = np.array(x2d, dtype=np.float64) + # print(x2d_np.shape,x3d_np.shape) + distCoeffs = np.asarray([0, 0, 0, 0, 0], dtype=np.float64) + _, rval, tval, inliers = cv2.solvePnPRansac(x3d_np, x2d_np, camera_intrinsic, distCoeffs,5.0, cv2.SOLVEPNP_P3P) + rmat, _ = cv2.Rodrigues(rval) + rqua = matrix_to_quaternion(torch.from_numpy(rmat).unsqueeze(0)) + + return np.array(translation_gt.squeeze(2)).tolist(),np.array(rotation_quaternion_gt).tolist(),np.array(x2d).tolist(),np.array(x3d).tolist(), np.array(rqua), np.array(tval).T + +if __name__ == '__main__': + x3d,y3d,z3d = sp.symbols('x3d,y3d,z3d') + x2d,y2d = sp.symbols('x2d,y2d') + wx2d,wy2d = sp.symbols('wx2d,wy2d') + w = sp.symbols('w') # 配准权重 + qw, qx, qy, qz = sp.symbols('qw, qx, qy, qz') # 四元数 + tx, ty, tz = sp.symbols('tx, ty, tz') # 平移矩阵 + camera = np.asarray([[615.5, 0, 615.5], [0, 320, 240], [0, 0, 1]], dtype=np.float32) + + global_symbols = [x3d,x2d,y3d,y2d,wx2d,wy2d,z3d, + qw, qx, qy, qz, tx, ty, tz] + + translation_gt, rotation_quaternion_gt, x2d_7_2, x3d_7_3, rqua,tval = make_one_pose(7,camera) + # print(get_new_point_from_quaternion(x3d_7_3[0], rqua[0])) + x2d_rep = [] + ind = 0 + for x in np.array(x3d_7_3): + x2d_rep_i = camera @ (get_new_point_from_quaternion(x, rqua[0]) + tval).T + x2d_rep_i[0] /= x2d_rep_i[2] + x2d_rep_i[1] /= x2d_rep_i[2] + x2d_rep.append(x2d_rep_i[0:2]) + + + weights = get_weights_without(7) + + + sta = time.perf_counter() + quat, T = register_GN(x2d_7_2,x3d_7_3,rqua,tval,weights,camera) + mid = time.perf_counter() + ans = register_GN_C(x2d_7_2,x3d_7_3,rqua,tval,weights,camera,7) + end = time.perf_counter() + print("c_time:",end-mid,"python_time:",mid - sta,sep = '\n') + # print(quat.shape,T.shape) + quat = quaternion_normlize(quat) + print("GT",rotation_quaternion_gt,translation_gt) + print("削减权重",quat,T) + print("init:",rqua,tval) + print("C",ans) diff --git a/sgtapose/rf_tools/__pycache__/LM.cpython-37.pyc b/sgtapose/rf_tools/__pycache__/LM.cpython-37.pyc new file mode 100644 index 0000000000000000000000000000000000000000..04e8e6d80669e44a20813b60bfc9281825285933 GIT binary patch literal 21863 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