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Ibón Guillén, Carlos Ureña, Alan King, Marcos Fajardo, Iliyan Georgiev, Jorge López-Moreno, Adrian Jarabo
EGSR 2017
We present new methods for uniformly sampling the solid angle subtended by a disk. To achieve this, we devise two novel area-preserving mappings from the unit square [0, 1]^2 to a spherical ellipse (i.e. the projection of the disk onto the unit sphere). These mappings allow for low-variance stratified sampling of direct illumination from disk-shaped light sources. We discuss how to efficiently incorporate our methods into a production renderer and demonstrate the quality of our maps, showing significantly lower variance than previous work.
Iliyan Georgiev, Marcos Fajardo
Siggraph 2016
A method that improves the visual fidelity of Monte Carlo renderings without increasing the sampling effort. By correlating the samples between pixels using specially constructed blue-noise masks, the method minimizes the low-frequency content in the distribution of the approximation error, thereby reducing the perceptual error of the image.
Anders Langlands
Siggraph 2014
alShaders is an open-source, production shader library for Arnold. In this document, we will examine what constitutes a production shader library and examine the design choices that shaped the form alShaders would take. As we will see, many of those choices follow naturally from the design of the renderer itself, so we will also take a brief look at the design of Arnold.
Alan King, Christopher Kulla, Alejandro Conty, Marcos Fajardo
Siggraph 2013
A simple importance-sampling method for rendering subsurface light transport described by a BSSRDF on arbitrary geometry without any pre-computation.
Thiago Ize
JCGT 2013
Most axis-aligned bounding-box (AABB) based BVH-construction algorithms are numerically robust; however, BVH ray traversal algorithms for ray tracing are still susceptible to numerical precision errors. We show where these errors come from and how they can be efficiently avoided during traversal of BVHs that use AABBs.
Carlos Ureña, Marcos Fajardo, Alan King
EGSR 2013
We present an area-preserving parametrization for spherical rectangles which is an analytical function with domain in the unit rectangle and range in a region included in the unit-radius sphere. The parametrization preserves areas up to a constant factor and is thus very useful in the context of rendering as it allows to map random sample point sets in onto the spherical rectangle. This allows for easily incorporating stratified, quasi-Monte Carlo or other sampling strategies in algorithms that compute scattering from planar rectangular emitters.
Christopher Kulla, Marcos Fajardo
EGSR 2012
We introduce a set of robust importance sampling techniques which allow efficient calculation of direct and indirect lighting from arbitrary light sources in both homogeneous and heterogeneous media. We show how to distribute samples along a ray proportionally to the incoming radiance for point and area lights. In heterogeneous media, we decouple ray marching from light calculations by computing a representation of the transmittance function that can be quickly evaluated during sampling. This representation also allows the calculation of another probability density function which can direct samples to regions most likely to scatter light. [...]
Christopher Kulla, Marcos Fajardo
Siggraph 2011
A method to effectively importance sample the single scattering integral in homogeneous participating media from point lights and area lights of arbitrary shapes.

National Projects


Development of new advanced algorithms for digital production of photo-realistic synthesis images

The R&D project "IMAGINE", developed by Solid Angle, has been co-funded by the Ministry of Industry, Energy and Tourism within the National Plan of Scientific Investigation, Development and Technological Innovation 2013-2016 (File TSI-100600-2013-43)

2013 - 2015


Development of new advanced high performance algorithms applicable for digital content production.

The R&D project "NEWGENALGORYTHM", developed by Solid Angle, has been co-funded by the Ministry of Industry, Energy and Tourism within the National Plan of Scientific Investigation, Development and Technological Innovation 2013-2016 (File TSI-100600-2015-10)

2013 - 2016