From 124f08ce03cfe749f038787d80dea59132953c2e Mon Sep 17 00:00:00 2001 From: David Date: Fri, 18 Sep 2026 14:27:37 +0200 Subject: [PATCH] first version --- README.md | 110 ++++++++++ cornell_box_render.png | Bin 0 -> 288292 bytes preview.png | Bin 0 -> 40446 bytes raytracer.py | 469 +++++++++++++++++++++++++++++++++++++++++ 4 files changed, 579 insertions(+) create mode 100644 README.md create mode 100644 cornell_box_render.png create mode 100644 preview.png create mode 100644 raytracer.py diff --git a/README.md b/README.md new file mode 100644 index 0000000..448c562 --- /dev/null +++ b/README.md @@ -0,0 +1,110 @@ +# Cornell Box Raytracer + +A pure Python raytracer that renders the Cornell Box scene with: + +- **Reflections** - mirror/chrome spheres reflect surrounding geometry +- **Caustics & Refraction** - glass spheres bend light (dielectric material with Schlick approximation) +- **Multiple Bounces** - recursive path tracing up to configurable depth +- **Next Event Estimation (NEE)** - explicit light sampling for fast convergence +- **Anti-aliasing** - supersampled pixels with jittered rays +- **Multiprocessing** - parallel rendering across CPU cores + +## Requirements + +- Python 3.8+ +- numpy +- Pillow + +```bash +pip install numpy Pillow +``` + +## Usage + +```bash +python raytracer.py [width] [height] [samples_per_pixel] [max_bounces] [output] +``` + +### Examples + +```bash +# Quick preview (4 min) +python raytracer.py 200 150 20 10 preview.png + +# Good quality (~10 min) +python raytracer.py 400 300 50 15 cornell.png + +# High quality (~40 min) +python raytracer.py 800 600 100 15 cornell_hq.png + +# Custom camera and scene parameters can be set by editing the __main__ block +``` + +### Parameters + +| Parameter | Default | Description | +|-----------|---------|-------------| +| width | 400 | Image width in pixels | +| height | 300 | Image height in pixels | +| samples_per_pixel | 50 | Anti-aliasing samples per pixel | +| max_bounces | 15 | Maximum ray bounce depth | +| output | cornell_box.png | Output PNG filename | + +### Workers + +Multiprocessing uses 4 workers by default. Change `workers=4` in the `render()` call. + +## Scene Description + +The scene is the classic **Cornell Box**: + +- 5 walls (floor, ceiling, left=red, right=green, back=white) with the front face open +- A small bright light source on the left wall +- A **glass sphere** (refractive, IOR=1.5) - demonstrates refraction and caustics +- A **mirror sphere** (perfect reflection) - demonstrates reflections +- A **red diffuse sphere** - demonstrates diffuse scattering + +## Camera + +- Position: (278, 278, -800) +- Look-at: (278, 278, 278) (box center) +- FOV: 40° +- Focus distance: 1078 + +## Materials + +| Material | Implementation | +|----------|---------------| +| Diffuse (Lambertian) | Cosine-distributed random scattering + NEE | +| Mirror | Perfect specular reflection | +| Dielectric | Snell refraction + Schlick fresnel + random bounce | +| Light | Emissive surface, sampled via NEE | + +## Performance + +Approximate render times (with multiprocessing, 4 workers): + +| Resolution | spp | Time | +|------------|-----|------| +| 200x150 | 20 | ~2 min | +| 400x300 | 50 | ~10 min | +| 800x600 | 50 | ~40 min | + +## How It Works + +1. **Primary rays** are cast from the camera through each pixel (with supersampling jitter) +2. **Ray-object intersection** tests against planes (walls), spheres, and boxes (light) +3. **Surface scattering**: + - Diffuse: random hemisphere direction + explicit light sampling (NEE) + - Mirror: perfect reflection vector + - Dielectric: refraction with Snell's law, Schlick approximation for total internal reflection +4. **Recursive bouncing**: each scattered ray continues tracing up to `max_bounces` +5. **Radiance estimation**: `L = Le + ∫ f_r * L_i * cos θ dω` approximated via Monte Carlo integration + +### Next Event Estimation + +For diffuse surfaces, the direct light contribution is computed by explicitly sampling points on the light source, testing visibility via shadow rays, and weighting by the BRDF and light PDF. 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zZFRC9mnM=*XBafpE@DH`3Dm4IhV7-mn!A3X&7Kd?ijRJiLBh261ij_(UUz)zQFZtW z{DgD`;@|BZa<|S!57l09z8U^M4)2`6+{3sB_5}>!i1F&d^;5h-5-!D7S@?ZEQu!I< z&F>WK*rrzk7fV?_2|XOX|0tjjCe31I%jicl?5I$lm*z0ZF$cD8c$09|cQJT_p}}m- z$^{QEAr}Q9OT1G6>ZQY?qY>91D6=rejuTd7Q-xi|z$Wbtq-i)pcy5EMrn1fK11Xu0 z^}y1X5-6|CnHp>CL$!d@zI4avn3%jcjuA4y9j33d#MW15np-9nm)cd|h@V*^m3qy1 z9TYv(<#7Gn03>oKwfROFL|GZeJj&dKI{mvx@9Q3NVDBvFcmO`~(#lem62^i50d(iO A^Z)<= literal 0 HcmV?d00001 diff --git a/raytracer.py b/raytracer.py new file mode 100644 index 0000000..cf4bb23 --- /dev/null +++ b/raytracer.py @@ -0,0 +1,469 @@ +import numpy as np +from PIL import Image +import math +import time + +EPSILON = 1e-6 +PI = math.pi + + +def normalize(v): + n = np.linalg.norm(v) + return v / n if n > 1e-12 else v + + +def reflect(d, n): + return d - 2.0 * np.dot(d, n) * n + + +def refract(incident, normal, eta): + cos_i = min(-np.dot(incident, normal), 1.0) + sin_t_sq = eta * eta * (1.0 - cos_i * cos_i) + if sin_t_sq > 1.0: + return None + cos_t = math.sqrt(max(0.0, 1.0 - sin_t_sq)) + return eta * incident + (eta * cos_i - cos_t) * normal + + +def schlick(cos, ref_idx): + r0 = (1.0 - ref_idx) / (1.0 + ref_idx) + r0 *= r0 + return r0 + (1.0 - r0) * math.pow(1.0 - cos, 5.0) + + +class Ray: + __slots__ = ('origin', 'direction') + + def __init__(self, origin, direction): + self.origin = np.asarray(origin, dtype=np.float64) + self.direction = normalize(np.asarray(direction, dtype=np.float64)) + + +class HitRecord: + __slots__ = ('t', 'point', 'normal', 'front_face', 'material') + + def __init__(self): + self.t = float('inf') + self.point = np.zeros(3) + self.normal = np.zeros(3) + self.front_face = True + self.material = None + + +class Hittable: + def hit(self, r, t_min=EPSILON, t_max=float('inf')): + raise NotImplementedError + + +class Sphere(Hittable): + __slots__ = ('center', 'radius', 'material') + + def __init__(self, center, radius, material): + self.center = np.asarray(center, dtype=np.float64) + self.radius = float(radius) + self.material = material + + def hit(self, r, t_min=EPSILON, t_max=float('inf')): + oc = r.origin - self.center + a = np.dot(r.direction, r.direction) + b = np.dot(oc, r.direction) + c = np.dot(oc, oc) - self.radius * self.radius + disc = b * b - a * c + if disc < 0: + return None + sq = math.sqrt(disc) + root = (-b - sq) / a + if root < t_min or root > t_max: + root = (-b + sq) / a + if root < t_min or root > t_max: + return None + rec = HitRecord() + rec.t = root + rec.point = r.origin + root * r.direction + out = normalize(rec.point - self.center) + if np.dot(r.direction, out) < 0: + rec.normal = out + rec.front_face = True + else: + rec.normal = -out + rec.front_face = False + rec.material = self.material + return rec + + +class Plane(Hittable): + __slots__ = ('point', 'normal', 'material') + + def __init__(self, point, normal, material): + self.point = np.asarray(point, dtype=np.float64) + self.normal = normalize(np.asarray(normal, dtype=np.float64)) + self.material = material + + def hit(self, r, t_min=EPSILON, t_max=float('inf')): + denom = np.dot(r.direction, self.normal) + if abs(denom) < 1e-12: + return None + t = np.dot(self.point - r.origin, self.normal) / denom + if t < t_min or t > t_max: + return None + rec = HitRecord() + rec.t = t + rec.point = r.origin + t * r.direction + if np.dot(r.direction, self.normal) < 0: + rec.normal = self.normal + rec.front_face = True + else: + rec.normal = -self.normal + rec.front_face = False + rec.material = self.material + return rec + + +class Box(Hittable): + __slots__ = ('min_pt', 'max_pt', 'material') + + def __init__(self, min_pt, max_pt, material): + self.min_pt = np.asarray(min_pt, dtype=np.float64) + self.max_pt = np.asarray(max_pt, dtype=np.float64) + self.material = material + + def hit(self, r, t_min=EPSILON, t_max=float('inf')): + t_lo = t_min + t_hi = t_max + hit_axis = -1 + inv_ds = [0.0, 0.0, 0.0] + for axis in range(3): + inv_d = 1.0 / r.direction[axis] if abs(r.direction[axis]) > 1e-12 else 1e12 + inv_ds[axis] = inv_d + t0 = (self.min_pt[axis] - r.origin[axis]) * inv_d + t1 = (self.max_pt[axis] - r.origin[axis]) * inv_d + if inv_d < 0: + t0, t1 = t1, t0 + if t0 > t_lo: + t_lo = t0 + hit_axis = axis + t_hi = min(t_hi, t1) + if t_hi < t_lo: + return None + if t_lo >= t_max or t_lo <= t_min: + return None + rec = HitRecord() + n = np.zeros(3) + n[hit_axis] = 1.0 if inv_ds[hit_axis] > 0 else -1.0 + if np.dot(r.direction, n) < 0: + rec.normal = n + rec.front_face = True + else: + rec.normal = -n + rec.front_face = False + rec.t = t_lo + rec.point = r.origin + t_lo * r.direction + rec.material = self.material + return rec + + +class Scene: + __slots__ = ('objects', 'lights') + + def __init__(self): + self.objects = [] + self.lights = [] + + def add(self, obj): + self.objects.append(obj) + + def add_light(self, obj): + self.lights.append(obj) + self.objects.append(obj) + + def hit(self, r, t_min=EPSILON, t_max=float('inf')): + closest = None + min_t = t_max + for obj in self.objects: + rec = obj.hit(r, t_min, min_t) + if rec is not None and rec.t < min_t: + closest = rec + min_t = rec.t + return closest + + def blocked(self, origin, direction, t_max): + r = Ray(origin, direction) + for obj in self.objects: + if obj.hit(r, EPSILON, t_max) is not None: + return True + return False + + +class Material: + def scatter(self, ray_in, rec, rng): + raise NotImplementedError + + def get_emission(self): + return np.zeros(3) + + +class Diffuse(Material): + __slots__ = ('albedo',) + + def __init__(self, albedo): + self.albedo = np.asarray(albedo, dtype=np.float64) + + def scatter(self, ray_in, rec, rng): + target = rec.normal + np.random.randn(3) * 0.5 + if np.linalg.norm(target) < 1e-8: + target = rec.normal.copy() + return True, self.albedo, Ray(rec.point, normalize(target)) + + +class Mirror(Material): + __slots__ = ('albedo',) + + def __init__(self, albedo): + self.albedo = np.asarray(albedo, dtype=np.float64) + + def scatter(self, ray_in, rec, rng): + reflected = reflect(ray_in.direction, rec.normal) + if np.dot(reflected, rec.normal) <= 0: + return False, np.zeros(3), None + return True, self.albedo, Ray(rec.point, normalize(reflected)) + + +class Dielectric(Material): + __slots__ = ('ref_idx', 'albedo') + + def __init__(self, ref_idx, albedo=None): + self.ref_idx = ref_idx + self.albedo = np.asarray(albedo, dtype=np.float64) if albedo is not None else np.ones(3) + + def scatter(self, ray_in, rec, rng): + refraction_ratio = 1.0 / self.ref_idx if rec.front_face else self.ref_idx + unit_direction = ray_in.direction.copy() + cos_theta = min(-np.dot(unit_direction, rec.normal), 1.0) + sin_theta = math.sqrt(max(0.0, 1.0 - cos_theta * cos_theta)) + cannot_refract = refraction_ratio * sin_theta > 1.0 + if cannot_refract or schlick(cos_theta, refraction_ratio) > np.random.random(): + direction = reflect(unit_direction, rec.normal) + else: + direction = refract(unit_direction, rec.normal, refraction_ratio) + if direction is None: + direction = reflect(unit_direction, rec.normal) + return True, self.albedo, Ray(rec.point, normalize(direction)) + + +class LightSource(Material): + __slots__ = ('emission',) + + def __init__(self, emission): + self.emission = np.asarray(emission, dtype=np.float64) + + def get_emission(self): + return self.emission + + def scatter(self, ray_in, rec, rng): + return False, np.zeros(3), None + + +class Camera: + def __init__(self, lookfrom, lookat, vup, vfov, aspect, aperture=0.0, focus_dist=10.0): + self.origin = np.asarray(lookfrom, dtype=np.float64) + half_height = math.tan(math.radians(vfov) / 2.0) + half_width = aspect * half_height + w = normalize(self.origin - np.asarray(lookat, dtype=np.float64)) + u = normalize(np.cross(vup, w)) + v = np.cross(w, u) + self.horizontal = focus_dist * half_width * u + self.vertical = focus_dist * half_height * v + self.lower_left_corner = self.origin - self.horizontal / 2.0 - self.vertical / 2.0 - focus_dist * w + self.aperture = aperture + + def get_ray(self, s, t, rng): + rd = np.zeros(3) + if self.aperture > 0: + rd = (np.random.rand(3) - 0.5) * self.aperture + rd[2] = 0.0 + direction = self.lower_left_corner + s * self.horizontal + t * self.vertical - self.origin + rd + return Ray(self.origin, direction) + + +def cornell_box(): + scene = Scene() + + white = Diffuse(np.array([0.73, 0.73, 0.73])) + gray = Diffuse(np.array([0.5, 0.5, 0.5])) + red = Diffuse(np.array([0.65, 0.05, 0.05])) + green = Diffuse(np.array([0.12, 0.45, 0.15])) + mirror = Mirror(np.array([0.95, 0.95, 0.95])) + glass = Dielectric(ref_idx=1.5) + light = LightSource(np.array([50.0, 50.0, 50.0])) + + scene.add(Plane(np.array([0, 0, 0]), np.array([0, 1, 0]), gray)) + scene.add(Plane(np.array([0, 500, 0]), np.array([0, -1, 0]), white)) + scene.add(Plane(np.array([0, 0, 500]), np.array([0, 0, -1]), white)) + scene.add(Plane(np.array([0, 0, 0]), np.array([1, 0, 0]), red)) + scene.add(Plane(np.array([500, 0, 0]), np.array([-1, 0, 0]), green)) + + scene.add(Box(np.array([0, 180, 180]), np.array([25, 220, 320]), light)) + + scene.add(Sphere(np.array([250, 180, 250]), 80, glass)) + scene.add(Sphere(np.array([150, 180, 380]), 80, mirror)) + scene.add(Sphere(np.array([350, 160, 300]), 60, red)) + + return scene + + +def trace(scene, ray, depth, max_depth, rng): + if depth >= max_depth: + return np.zeros(3) + + rec = scene.hit(ray) + if rec is None: + t_val = 0.5 * (ray.direction[1] + 1.0) + return np.array([1.0, 1.0, 1.0]) * (1.0 - t_val) + np.array([0.5, 0.7, 1.0]) * t_val + + emitted = rec.material.get_emission() + if isinstance(rec.material, LightSource): + return emitted + + mat = rec.material + scattered, attenuation, scattered_ray = mat.scatter(ray, rec, rng) + if not scattered or scattered_ray is None: + return emitted + + indirect = trace(scene, scattered_ray, depth + 1, max_depth, rng) + color = emitted + attenuation * indirect + + if isinstance(mat, Diffuse): + direct = np.zeros(3) + for light_obj in scene.lights: + emission = light_obj.material.get_emission() + for _ in range(2): + face_idx = int(rng.random() * 6) + x = rng.uniform(light_obj.min_pt[0], light_obj.max_pt[0]) + y = rng.uniform(light_obj.min_pt[1], light_obj.max_pt[1]) + z = rng.uniform(light_obj.min_pt[2], light_obj.max_pt[2]) + if face_idx == 0: + lp = np.array([light_obj.min_pt[0], y, z]) + elif face_idx == 1: + lp = np.array([light_obj.max_pt[0], y, z]) + elif face_idx == 2: + lp = np.array([x, light_obj.min_pt[1], z]) + elif face_idx == 3: + lp = np.array([x, light_obj.max_pt[1], z]) + elif face_idx == 4: + lp = np.array([x, y, light_obj.min_pt[2]]) + else: + lp = np.array([x, y, light_obj.max_pt[2]]) + + to_light = lp - rec.point + dist_sq = np.dot(to_light, to_light) + if dist_sq < 1e-8: + continue + dist = math.sqrt(dist_sq) + d_to_light = to_light / dist + cos_at_rec = np.dot(rec.normal, d_to_light) + if cos_at_rec <= 0: + continue + + if scene.blocked(rec.point + EPSILON * rec.normal, d_to_light, dist - EPSILON): + continue + + light_area = 6 * (light_obj.max_pt[0] - light_obj.min_pt[0]) * \ + (light_obj.max_pt[1] - light_obj.min_pt[1]) * \ + (light_obj.max_pt[2] - light_obj.min_pt[2]) + pdf = light_area / (dist_sq * cos_at_rec) + if pdf < 1e-12: + continue + brdf = mat.albedo / PI + direct += emission * cos_at_rec * brdf / pdf + break + + if np.dot(direct, direct) > 0: + color = emitted + attenuation * (indirect + direct) + + return color + + +def render_chunk(args): + scene, width, height, spp, max_d, \ + lookfrom, lookat, vfov, chunk_start, chunk_end, seed_off = args + + cam = Camera(lookfrom, lookat, np.array([0, 1, 0]), vfov, width / height, 0.0, 1078.0) + + image = np.zeros((chunk_end - chunk_start, width, 3), dtype=np.float64) + + for j_local, j in enumerate(range(chunk_start, chunk_end)): + for i in range(width): + color = np.zeros(3) + rng = np.random.default_rng(seed_off + i * 1000 + j * 7) + for _ in range(spp): + u = (i + rng.random()) / (width - 1) + v = (height - 1 - j + rng.random()) / (height - 1) + ray = cam.get_ray(u, v, rng) + color += trace(scene, ray, 0, max_d, rng) + color /= spp + color = np.sqrt(np.clip(color, 0, None)) + image[j_local, i] = np.clip(color, 0.0, 1.0) + + return (chunk_start, image) + + +def render(scene, width=800, height=600, samples_per_pixel=50, max_depth=15, + lookfrom=None, lookat=None, vfov=40, aperture=0.0, focus_dist=1078.0, + output="cornell_box.png", workers=16): + if lookfrom is None: + lookfrom = np.array([278.0, 278.0, -800.0]) + if lookat is None: + lookat = np.array([278.0, 278.0, 278.0]) + + image = np.zeros((height, width, 3), dtype=np.float64) + start = time.time() + + chunk = max(1, height // workers) + ranges = [] + for w in range(workers): + s = w * chunk + e = height if w == workers - 1 else (w + 1) * chunk + ranges.append((scene, width, height, samples_per_pixel, + max_depth, lookfrom, lookat, vfov, s, e, w * 100000 + 42)) + + from concurrent.futures import ProcessPoolExecutor, as_completed + with ProcessPoolExecutor(max_workers=workers) as executor: + futures = {executor.submit(render_chunk, r): r[9] for r in ranges} + completed = 0 + for f in as_completed(futures): + chunk_start, chunk_img = f.result() + end = chunk_start + chunk_img.shape[0] + image[chunk_start:end] = chunk_img + completed += 1 + print(f"Chunk {completed}/{workers} done ({time.time() - start:.1f}s)") + + img = (image * 255).astype(np.uint8) + Image.fromarray(img, 'RGB').save(output) + elapsed = time.time() - start + print(f"Saved {output} in {elapsed:.1f}s") + return image + + +if __name__ == "__main__": + import sys + + print("=== Cornell Box Raytracer ===") + print("Features: reflections, refraction/caustics, multiple bounces, NEE") + print() + + scene = cornell_box() + + width = int(sys.argv[1]) if len(sys.argv) > 1 else 400 + height = int(sys.argv[2]) if len(sys.argv) > 2 else 300 + spp = int(sys.argv[3]) if len(sys.argv) > 3 else 50 + max_depth = int(sys.argv[4]) if len(sys.argv) > 4 else 15 + output = sys.argv[5] if len(sys.argv) > 5 else "cornell_box.png" + + print(f"Resolution: {width}x{height}") + print(f"Samples per pixel: {spp}") + print(f"Max bounces: {max_depth}") + print(f"Output: {output}") + print() + + render(scene, width=width, height=height, + samples_per_pixel=spp, max_depth=max_depth, output=output)