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CS184 Section 10

Ray Tracing Basics

Brandon Wang

October 31, 2012

Material adapted from Fu-Chung Huang and Carlo Sequin.

Ray Tracing Basics

Brandon Wang

October 31, 2012

Material adapted from Fu-Chung Huang and Carlo Sequin.

- HW4 due tonight

- Signal Intuition
- Ray Tracing

Little to no OpenGL.

Made from scratch.

OpenGL: Transform objects into unit cube, project unit cube onto image plane.

Ray tracing: Shoot rays from camera into the scene.

More expensive, but easier to model complex physics. More closely resembles actual physics. (The biggest difference is the direction of the ray)

Current research: real-time

Ray:

\vec{r} = \vec{a}+t\cdot\vec{d}

For now, loop over all objects, figure out if the ray intersects it. (Next week, do something smarter.)

Imagine a world of spheres only - center and radius. Intersection is if the ray comes closer than radius to sphere.

For transformations, transform the **ray** to **object** space. (This is done so you don't have to write arbitrary intersection tests, only with your primitives)

Once you do spheres, move on to boxs and/or triangles, and other shapes if you wish.

You've already done this! Phong illumination model. (Review old slides when implementing)

If you stop here, you will get quality similar to OpenGL. This is called
**ray casting**.

But if you **recurse**, you can do nice things.

Shoot a ray from the point of intersection to...

- Towards the light for shadows. Check if it intersects
**anything**. - Into the object for refraction using Snell's law.
- Back into the scene for reflections.
- ...And many more things.

It will be a bit more difficult to get started with this, as you start from scratch.

- Get the BSOD. (Black image output.) Start with eye position, image plane corners, and image dimension.
- Make a primitive shape (sphere, triangle, or even circle). Write the ray-primitive intersection, but make it return some color for intersection. (Don't write the Phong stuff yet - make sure your geometry is right).
- Transform the primitive (scale, rotate, translate, etc). Make sure your rays are being transformed correctly
- Phong illumination model
- Shadows
- Acceleration structures (Next week)
- Fancy stuff (Your own leisure)

I've heard that this is useful.