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Path Tracing



 
 
Path tracing is a photorealistic computer graphics rendering technique by James Kajiya when he presented his paper on the rendering equation
Rendering equation

In computer graphics, the rendering equation is an integral equation in which the equilibrium radiance leaving a point is given as the sum of emitted plus reflected radiance under a geometric optics approximation....
 in the 1980s. The main goal of path tracing is to fully solve the rendering equation
Rendering equation

In computer graphics, the rendering equation is an integral equation in which the equilibrium radiance leaving a point is given as the sum of emitted plus reflected radiance under a geometric optics approximation....
. The image quality provided by path tracing is often superior to that of images produced using conventional ray tracing methods at the cost of much greater computation.

Although path tracing is very general and can simulate nearly all of the effects of light transport, it is a very inefficient algorithm.






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Path tracing is a photorealistic computer graphics rendering technique by James Kajiya when he presented his paper on the rendering equation
Rendering equation

In computer graphics, the rendering equation is an integral equation in which the equilibrium radiance leaving a point is given as the sum of emitted plus reflected radiance under a geometric optics approximation....
 in the 1980s. The main goal of path tracing is to fully solve the rendering equation
Rendering equation

In computer graphics, the rendering equation is an integral equation in which the equilibrium radiance leaving a point is given as the sum of emitted plus reflected radiance under a geometric optics approximation....
. The image quality provided by path tracing is often superior to that of images produced using conventional ray tracing methods at the cost of much greater computation.

Although path tracing is very general and can simulate nearly all of the effects of light transport, it is a very inefficient algorithm. However, due to its accuracy and being unbiased, it can be used to generate reference images when testing the quality of other rendering algorithms. In order to get high quality images from path tracing, a very large number of rays need to be traced lest the image have lots of visible artifacts in the form of noise.

Path tracing is essentially a form of ray tracing
Ray tracing

In computer graphics, ray tracing is a technique for generating an digital image by tracing the path of light through pixel in an . The technique is capable of producing a very high degree of photorealism; usually higher than that of typical scanline rendering methods, but at a greater computation time....
 whereby each ray is recursively traced along a path until it reaches a light emitting source where the light contribution along the path is calculated. This recursive tracing helps for solving the lighting equation more accurately than conventional ray tracing.

A simple path tracing pseudocode might look something like this:

Color TracePath(Ray r,depth)

In the above example if every surface of a closed space emitted and reflected (0.5,0.5,0.5) then every pixel in the image would be white.

A variation of this algorithm is to trace rays in the opposite direction, from light sources to the camera, this is called photon tracing
Photon tracing

Photon tracing is a Rendering method similar to Ray tracing and photon mapping for creating ultra high realism images....
. Furthermore, these two algorithms can be combined to enhance the image results, which is called bidirectional path tracing.

Note that path tracing is not simply ray tracing with infinite recursion depth. In conventional ray tracing, lights are sampled directly when a diffuse surface is hit by a ray. In path tracing, a new ray is randomly generated within the hemisphere of the object and then traced until it hits a light(possibly never). This type of path can hit many diffuse surfaces before interacting with a light. This is simply not the case for ray tracing where there can be at most one diffuse interaction per eye ray.