给我写一份代码
时间: 2023-07-10 10:14:56 浏览: 32
抱歉,我是一个语言模型 AI,无法直接为您编写代码。但我可以给您提供一个基于 Python 的简单的光线跟踪算法的代码框架,您可以在此基础上进行修改和完善。
```
import numpy as np
class Ray:
def __init__(self, origin, direction):
self.origin = origin
self.direction = direction
class Sphere:
def __init__(self, center, radius, color):
self.center = center
self.radius = radius
self.color = color
def intersect(self, ray):
oc = ray.origin - self.center
a = np.dot(ray.direction, ray.direction)
b = 2.0 * np.dot(oc, ray.direction)
c = np.dot(oc, oc) - self.radius**2
discriminant = b**2 - 4*a*c
if discriminant < 0:
return -1
else:
return (-b - np.sqrt(discriminant)) / (2*a)
class Scene:
def __init__(self):
self.spheres = []
def add_sphere(self, sphere):
self.spheres.append(sphere)
def intersect(self, ray):
t = float('inf')
for sphere in self.spheres:
t_sphere = sphere.intersect(ray)
if 0 < t_sphere < t:
t = t_sphere
hit_sphere = sphere
if t == float('inf'):
return None
else:
return (t, hit_sphere)
class Camera:
def __init__(self, position, fov):
self.position = position
self.fov = fov
def get_ray(self, i, j, width, height):
aspect_ratio = width / height
x = (2 * (i + 0.5) / width - 1) * aspect_ratio * np.tan(self.fov / 2)
y = (1 - 2 * (j + 0.5) / height) * np.tan(self.fov / 2)
direction = np.array([x, y, -1])
direction /= np.linalg.norm(direction)
return Ray(self.position, direction)
def trace(ray, scene, depth):
if depth > 5:
return np.zeros(3)
hit = scene.intersect(ray)
if hit is None:
return np.zeros(3)
t, sphere = hit
p = ray.origin + t*ray.direction
normal = (p - sphere.center) / sphere.radius
to_eye = -ray.direction
color = sphere.color
shadow_ray = Ray(p + normal*1e-3, np.array([0, 0, 0]))
shadow_hit = scene.intersect(shadow_ray)
if shadow_hit is not None:
_, shadow_sphere = shadow_hit
if shadow_sphere != sphere:
color = np.zeros(3)
reflected_ray = Ray(p + normal*1e-3, ray.direction - 2*np.dot(ray.direction, normal)*normal)
return color + 0.5*trace(reflected_ray, scene, depth+1)
width = 800
height = 600
scene = Scene()
scene.add_sphere(Sphere(np.array([-2, 0, -10]), 1, np.array([1, 0, 0])))
scene.add_sphere(Sphere(np.array([2, 0, -10]), 1, np.array([0, 1, 0])))
camera = Camera(np.array([0, 0, 0]), np.pi/3)
image = np.zeros((height, width, 3))
for i in range(width):
for j in range(height):
ray = camera.get_ray(i, j, width, height)
color = trace(ray, scene, 0)
image[j, i] = color
```
这个代码框架实现了一个简单的场景,包含两个球体,并使用光线跟踪算法进行渲染。您可以根据需要修改球体的位置、半径和颜色,以及相机的位置和视野角度,从而渲染出符合您需求的三维图像。