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docs/api/presets/model/index.md

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+---
+title: mbcp.presets.model.\n\ninit\n\n
+order: 1
+icon: laptop-code
+category: API
+---
+
+### ***def*** `sphere(radius: float, density: float) -> None`
+
+生成球体上的点集。
+
+Args:
+
+    radius:
+
+    density:
+
+Returns:
+
+    List[Point3]: 球体上的点集。
+
+<details>
+<summary>源代码</summary>
+
+```python
+@staticmethod
+def sphere(radius: float, density: float):
+    """
+        生成球体上的点集。
+        Args:
+            radius:
+            density:
+        Returns:
+            List[Point3]: 球体上的点集。
+        """
+    area = 4 * np.pi * radius ** 2
+    num = int(area * density)
+    phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
+    theta_list = np.sqrt(num * np.pi) * phi_list
+    x_array = radius * np.sin(phi_list) * np.cos(theta_list)
+    y_array = radius * np.sin(phi_list) * np.sin(theta_list)
+    z_array = radius * np.cos(phi_list)
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
+```
+</details>
+
+### ***class*** `GeometricModels`
+
+
+
+### &emsp; ***@staticmethod***
+### &emsp; ***def*** `sphere(radius: float, density: float) -> None`
+
+&emsp;生成球体上的点集。
+
+Args:
+
+    radius:
+
+    density:
+
+Returns:
+
+    List[Point3]: 球体上的点集。
+
+<details>
+<summary>源代码</summary>
+
+```python
+@staticmethod
+def sphere(radius: float, density: float):
+    """
+        生成球体上的点集。
+        Args:
+            radius:
+            density:
+        Returns:
+            List[Point3]: 球体上的点集。
+        """
+    area = 4 * np.pi * radius ** 2
+    num = int(area * density)
+    phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
+    theta_list = np.sqrt(num * np.pi) * phi_list
+    x_array = radius * np.sin(phi_list) * np.cos(theta_list)
+    y_array = radius * np.sin(phi_list) * np.sin(theta_list)
+    z_array = radius * np.cos(phi_list)
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
+```
+</details>
+
+### ***var*** `area = 4 * np.pi * radius ** 2`
+
+
+
+### ***var*** `num = int(area * density)`
+
+
+
+### ***var*** `phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])`
+
+
+
+### ***var*** `theta_list = np.sqrt(num * np.pi) * phi_list`
+
+
+
+### ***var*** `x_array = radius * np.sin(phi_list) * np.cos(theta_list)`
+
+
+
+### ***var*** `y_array = radius * np.sin(phi_list) * np.sin(theta_list)`
+
+
+
+### ***var*** `z_array = radius * np.cos(phi_list)`
+
+
+