We introduce a method to dynamically construct highly concurrent linked lists on modern graphics processors. Once constructed, these data structures can be used to implement a host of algorithms useful in creating complex rendering effects in real time. We present a straightforward way to create these linked lists using generic atomic operations available in APIs such as OpenGL 4.0 and DirectX 11. We also describe several possible applications of our algorithm. One example uses per-pixel linked lists for order-independent transparency; as a consequence, we are able to directly implement fully programmable blending, which frees developers from the restrictions imposed by current graphics APIs. The second uses linked lists to implement real-time indirect shadows.

We introduce a technique to rapidly generate summed-area tables using graphics hardware. Summed area tables, originally introduced by Crow, provide a way to filter arbitrarily large rectangular regions of an image in a constant amount of time. Our algorithm for generating summed-area tables, similar to a technique used in scientific computing called recursive doubling, allows the generation of a summed-area table in O(log n) time. We also describe a technique to mitigate the precision requirements of summed-area tables. The ability to calculate and use summed-area tables at interactive rates enables numerous interesting rendering effects. We present several possible applications. First, the use of summed-area tables allows real-time rendering of interactive, glossy environmental reflections. Second, we present glossy planar reflections with varying blurriness dependent on a reflected object's distance to the reflector. Third, we show a technique that uses a summed-area table to render glossy transparent objects. The final application demonstrates an interactive depth-of-field effect using summedarea tables.

We present an efficient algorithm to compute image histograms entirely on the GPU. Unlike previous implementations that use a gather approach, we take advantage of scattering data through the vertex shader and of high-precision blending available on modern GPUs. This results in fewer operations executed per pixel and speeds up the computation.Our approach allows us to create histograms with arbitrary numbers of buckets in a single rendering pass, and avoids the need for any communication from the GPU back to the CPU: The histogram stays in GPU memory and is immediately available for further processing.We discuss solutions to dealing with the challenges of implementing our algorithm on GPUs that have limited computational and storage precision. Finally, we provide examples of the kinds of graphics algorithms that benefit from the high performance of our histogram generation approach.

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