init

hy3dpaint/DifferentiableRenderer/camera_utils.py

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+# Hunyuan 3D is licensed under the TENCENT HUNYUAN NON-COMMERCIAL LICENSE AGREEMENT
+# except for the third-party components listed below.
+# Hunyuan 3D does not impose any additional limitations beyond what is outlined
+# in the repsective licenses of these third-party components.
+# Users must comply with all terms and conditions of original licenses of these third-party
+# components and must ensure that the usage of the third party components adheres to
+# all relevant laws and regulations.
+
+# For avoidance of doubts, Hunyuan 3D means the large language models and
+# their software and algorithms, including trained model weights, parameters (including
+# optimizer states), machine-learning model code, inference-enabling code, training-enabling code,
+# fine-tuning enabling code and other elements of the foregoing made publicly available
+# by Tencent in accordance with TENCENT HUNYUAN COMMUNITY LICENSE AGREEMENT.
+
+import math
+
+import numpy as np
+import torch
+
+
+def transform_pos(mtx, pos, keepdim=False):
+    t_mtx = torch.from_numpy(mtx).to(pos.device) if isinstance(mtx, np.ndarray) else mtx
+    if pos.shape[-1] == 3:
+        posw = torch.cat([pos, torch.ones([pos.shape[0], 1]).to(pos.device)], axis=1)
+    else:
+        posw = pos
+
+    if keepdim:
+        return torch.matmul(posw, t_mtx.t())[...]
+    else:
+        return torch.matmul(posw, t_mtx.t())[None, ...]
+
+
+def get_mv_matrix(elev, azim, camera_distance, center=None):
+    elev = -elev
+    azim += 90
+
+    elev_rad = math.radians(elev)
+    azim_rad = math.radians(azim)
+
+    camera_position = np.array(
+        [
+            camera_distance * math.cos(elev_rad) * math.cos(azim_rad),
+            camera_distance * math.cos(elev_rad) * math.sin(azim_rad),
+            camera_distance * math.sin(elev_rad),
+        ]
+    )
+
+    if center is None:
+        center = np.array([0, 0, 0])
+    else:
+        center = np.array(center)
+
+    lookat = center - camera_position
+    lookat = lookat / np.linalg.norm(lookat)
+
+    up = np.array([0, 0, 1.0])
+    right = np.cross(lookat, up)
+    right = right / np.linalg.norm(right)
+    up = np.cross(right, lookat)
+    up = up / np.linalg.norm(up)
+
+    c2w = np.concatenate([np.stack([right, up, -lookat], axis=-1), camera_position[:, None]], axis=-1)
+
+    w2c = np.zeros((4, 4))
+    w2c[:3, :3] = np.transpose(c2w[:3, :3], (1, 0))
+    w2c[:3, 3:] = -np.matmul(np.transpose(c2w[:3, :3], (1, 0)), c2w[:3, 3:])
+    w2c[3, 3] = 1.0
+
+    return w2c.astype(np.float32)
+
+
+def get_orthographic_projection_matrix(left=-1, right=1, bottom=-1, top=1, near=0, far=2):
+    """
+    计算正交投影矩阵。
+
+    参数:
+        left (float): 投影区域左侧边界。
+        right (float): 投影区域右侧边界。
+        bottom (float): 投影区域底部边界。
+        top (float): 投影区域顶部边界。
+        near (float): 投影区域近裁剪面距离。
+        far (float): 投影区域远裁剪面距离。
+
+    返回:
+        numpy.ndarray: 正交投影矩阵。
+    """
+    ortho_matrix = np.eye(4, dtype=np.float32)
+    ortho_matrix[0, 0] = 2 / (right - left)
+    ortho_matrix[1, 1] = 2 / (top - bottom)
+    ortho_matrix[2, 2] = -2 / (far - near)
+    ortho_matrix[0, 3] = -(right + left) / (right - left)
+    ortho_matrix[1, 3] = -(top + bottom) / (top - bottom)
+    ortho_matrix[2, 3] = -(far + near) / (far - near)
+    return ortho_matrix
+
+
+def get_perspective_projection_matrix(fovy, aspect_wh, near, far):
+    fovy_rad = math.radians(fovy)
+    return np.array(
+        [
+            [1.0 / (math.tan(fovy_rad / 2.0) * aspect_wh), 0, 0, 0],
+            [0, 1.0 / math.tan(fovy_rad / 2.0), 0, 0],
+            [0, 0, -(far + near) / (far - near), -2.0 * far * near / (far - near)],
+            [0, 0, -1, 0],
+        ]
+    ).astype(np.float32)