diff --git a/python/face.obj b/python/face.obj
index ecf4724..230f3b0 100644
--- a/python/face.obj
+++ b/python/face.obj
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+vn 0.241799 -0.694384 -0.677764
+vn 0.256437 -0.424027 -0.868586
+vn 0.306119 0.053652 -0.950480
+vn 0.270754 0.029516 -0.962196
+vn 0.091458 0.705352 -0.702932
+vn 0.222280 0.605321 -0.764315
+vn 0.257340 0.499918 -0.826957
+vn 0.348374 0.140406 -0.926780
+vn 0.653396 0.002004 -0.757014
+vn 0.726583 -0.526114 -0.441906
+vn 0.457252 0.192072 -0.868348
+vn 0.024687 0.216176 -0.976042
+vn -0.160486 0.893703 -0.418973
+vn 0.737559 0.139254 -0.660768
+vn 0.577788 -0.157188 -0.800908
+vn 0.338594 -0.046212 -0.939797
+vn 0.540829 -0.644375 -0.540634
+vn 0.793925 -0.513592 -0.325434
+vn 0.112988 -0.172200 -0.978561
+vn 0.380219 -0.028586 -0.924455
+vn 0.181942 -0.311670 -0.932609
+vn 0.405675 -0.040496 -0.913120
+vn 0.311617 -0.183545 -0.932312
+vn 0.229757 -0.215696 -0.949045
+vn 0.448979 -0.011642 -0.893467
+vn 0.157043 -0.116421 -0.980706
+vn 0.849173 -0.441846 -0.289270
+vn 0.509987 0.101136 -0.854216
+vn 0.502497 0.042382 -0.863539
+vn 0.346830 0.049796 -0.936605
+vn 0.789142 0.131175 -0.600041
+vn 0.593830 0.110576 -0.796956
+vn 0.903119 0.207614 -0.375863
+vn 0.335467 -0.027738 -0.941644
+vn 0.749363 -0.431754 -0.502040
+vn 0.398722 0.556700 -0.728770
+vn 0.159415 0.619185 -0.768893
+vn 0.633699 -0.103057 -0.766684
+vn 0.068828 0.420231 -0.904803
+vn -0.088663 0.243948 -0.965727
+vn 0.028039 0.088562 -0.995676
+vn 0.196340 0.128200 -0.972119
+vn 0.351608 0.234772 -0.906231
+vn 0.401167 -0.024876 -0.915667
+vn 0.960510 -0.059404 -0.271829
+vn 0.403250 -0.363753 -0.839686
+vn 0.263046 -0.370792 -0.890685
+vn 0.088544 -0.372991 -0.923600
+vn -0.020440 -0.422138 -0.906301
+vn 0.171241 -0.593300 -0.786557
+vn 0.447940 -0.597460 -0.665125
+vn 0.988307 -0.005346 -0.152383
+vn 0.048883 0.565646 -0.823198
+vn 0.731655 -0.535076 -0.422345
+vn 0.448720 0.492887 -0.745461
+vn 0.512870 0.781166 -0.356011
+vn 0.473893 0.738222 -0.480055
+vn 0.221524 0.339691 -0.914077
+vn 0.377685 0.773714 -0.508645
+vn 0.373587 0.663078 -0.648661
+vn 0.342115 -0.286605 -0.894883
+vn 0.604377 -0.400864 -0.688503
+vn 0.746569 -0.450215 -0.489838
+vn 0.284146 0.505382 -0.814770
+vn 0.233946 0.442438 -0.865747
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+vn 0.000000 1.000000 0.000000
+
 # 面 127 34 139
 f 128 35 140
 # 面 11 0 37
diff --git a/python/generate_normal.py b/python/generate_normal.py
new file mode 100644
index 0000000..4b272f0
--- /dev/null
+++ b/python/generate_normal.py
@@ -0,0 +1,179 @@
+import numpy as np
+import sys
+import os
+
+def compute_vertex_normals(vertices, faces):
+    """
+    计算顶点法线
+    Args:
+        vertices: 顶点列表，每个顶点是[x, y, z]
+        faces: 面列表，每个面是顶点索引列表（三角形面为3个索引）
+    
+    Returns:
+        normals: 顶点法线列表，每个法线是[nx, ny, nz]
+    """
+    # 初始化法线数组
+    normals = np.zeros_like(vertices, dtype=np.float64)
+    
+    # 计算每个面的法线并累加到对应的顶点
+    for face in faces:
+        if len(face) < 3:
+            continue
+            
+        # 获取三角形的三个顶点
+        v0 = vertices[face[0]]
+        v1 = vertices[face[1]]
+        v2 = vertices[face[2]]
+        
+        # 计算两条边向量
+        edge1 = v1 - v0
+        edge2 = v2 - v0
+        
+        # 计算面法线（叉积）
+        face_normal = np.cross(edge1, edge2)
+        
+        # 面法线长度（用于加权平均）
+        face_area = np.linalg.norm(face_normal)
+        
+        # 如果面法线长度不为零，则归一化并加权
+        if face_area > 1e-10:
+            face_normal_normalized = face_normal / face_area
+            
+            # 将面法线累加到每个顶点
+            for vertex_index in face:
+                normals[vertex_index] += face_normal_normalized
+    
+    # 归一化所有顶点法线
+    for i in range(len(normals)):
+        length = np.linalg.norm(normals[i])
+        if length > 1e-10:
+            normals[i] /= length
+        else:
+            # 如果法线长度为零（可能是孤立顶点），设置为默认向上法线
+            normals[i] = np.array([0.0, 1.0, 0.0])
+    
+    return normals
+
+def parse_obj_file(filename):
+    """
+    解析OBJ文件
+    Returns:
+        vertices: 顶点列表
+        faces: 面索引列表
+        has_normals: 是否已经包含法线
+    """
+    vertices = []
+    faces = []
+    existing_normals = []
+    has_normals = False
+    
+    try:
+        with open(filename, 'r', encoding='utf-8') as file:
+            for line in file:
+                line = line.strip()
+                if not line or line.startswith('#'):
+                    continue
+                
+                parts = line.split()
+                if not parts:
+                    continue
+                
+                if parts[0] == 'v':  # 顶点
+                    if len(parts) >= 4:
+                        vertex = [float(parts[1]), float(parts[2]), float(parts[3])]
+                        vertices.append(vertex)
+                
+                elif parts[0] == 'vn':  # 法线
+                    if len(parts) >= 4:
+                        normal = [float(parts[1]), float(parts[2]), float(parts[3])]
+                        existing_normals.append(normal)
+                        has_normals = True
+                
+                elif parts[0] == 'f':  # 面
+                    face_vertices = []
+                    for part in parts[1:]:
+                        # 处理 f v1/vt1/vn1 v2/vt2/vn2 格式
+                        vertex_data = part.split('/')
+                        if vertex_data[0]:  # 顶点索引
+                            # OBJ索引从1开始，转换为从0开始
+                            vertex_index = int(vertex_data[0]) - 1
+                            face_vertices.append(vertex_index)
+                    
+                    if len(face_vertices) >= 3:
+                        # 如果是四边形或多边形，分解为三角形
+                        for i in range(1, len(face_vertices) - 1):
+                            faces.append([face_vertices[0], face_vertices[i], face_vertices[i + 1]])
+    
+    except UnicodeDecodeError:
+        print(f"错误: 无法读取文件 {filename}，请确保文件是UTF-8编码。")
+        sys.exit(1)
+    
+    return np.array(vertices), faces, has_normals
+
+def write_obj_file(filename, vertices, faces, normals, original_has_normals=False):
+    """
+    写入OBJ文件
+    """
+    with open(filename, 'w', encoding='utf-8') as file:
+        file.write("# OBJ文件 - 自动计算法线\n")
+        file.write(f"# 顶点数: {len(vertices)}\n")
+        file.write(f"# 面数: {len(faces)}\n\n")
+        
+        # 写入顶点
+        for i, vertex in enumerate(vertices):
+            file.write(f"v {vertex[0]:.6f} {vertex[1]:.6f} {vertex[2]:.6f}\n")
+        
+        file.write("\n")
+        
+        # 写入法线
+        for i, normal in enumerate(normals):
+            file.write(f"vn {normal[0]:.6f} {normal[1]:.6f} {normal[2]:.6f}\n")
+        
+        file.write("\n")
+        
+        # 写入面（使用顶点索引/法线索引格式）
+        for face in faces:
+            face_line = "f"
+            for vertex_index in face:
+                # 如果原始文件有法线或者我们计算了法线，使用 v//vn 格式
+                face_line += f" {vertex_index + 1}//{vertex_index + 1}"
+            file.write(face_line + "\n")
+
+def process_obj_file(input_file, output_file=None):
+    """
+    处理OBJ文件的主要函数
+    """
+    if output_file is None:
+        base_name = os.path.splitext(input_file)[0]
+        output_file = f"{base_name}_with_normals.obj"
+    
+    print(f"读取文件: {input_file}")
+    vertices, faces, has_normals = parse_obj_file(input_file)
+    
+    print(f"找到 {len(vertices)} 个顶点, {len(faces)} 个面")
+    
+    if has_normals:
+        print("警告: 输入文件已包含法线数据，将被重新计算")
+    
+    if len(vertices) == 0:
+        print("错误: 没有找到顶点数据")
+        return False
+    
+    if len(faces) == 0:
+        print("错误: 没有找到面数据")
+        return False
+    
+    print("计算顶点法线中...")
+    normals = compute_vertex_normals(vertices, faces)
+    
+    print("写入输出文件...")
+    write_obj_file(output_file, vertices, faces, normals, has_normals)
+    
+    print(f"完成! 输出文件: {output_file}")
+    return True
+
+
+if __name__ == "__main__":
+    input_file = "face.obj"  # 默认输入文件
+    output_file = "face_with_normals.obj"  # 默认输出文件
+    process_obj_file(input_file, output_file)
\ No newline at end of file