Goal-based Caustics

1Disney Research Zürich 2Princeton University 3University College London

In Computer Graphics Forum (Proceedings of Eurographics)
Selected for the Best of EUROGRAPHICS session at FMX 2011!

Teaser
We design and mill piecewise-smooth arrays of micropatches which reshape incident light onto a collection of Gaussian caustics, to approximate arbitrary images at a projection plane. Above, we show a photograph of a physical sample projecting the Lena image.

Abstract

We propose a novel system for designing and manufacturing surfaces that produce desired caustic images when illuminated by a light source. Our system is based on a nonnegative image decomposition using a set of possibly overlapping anisotropic Gaussian kernels. We utilize this decomposition to construct an array of continuous surface patches, each of which focuses light onto one of the Gaussian kernels, either through refraction or reflection. We show how to derive the shape of each continuous patch and arrange them by performing a discrete assignment of patches to kernels in the desired caustic. Our decomposition provides for high fidelity reconstruction of natural images using a small collection of patches. We demonstrate our approach on a wide variety of caustic images by manufacturing physical surfaces with a small number of patches.

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Text Reference

Marios Papas, Wojciech Jarosz, Wenzel Jakob, Szymon Rusinkiewicz, Wojciech Matusik, Tim Weyrich. Goal-based Caustics. Computer Graphics Forum (Proceedings of Eurographics), 30(2):503–511, June 2011.

BibTex Reference

@article{papas11goal,
    author = {Marios Papas and Wojciech Jarosz and Wenzel Jakob and Szymon Rusinkiewicz and Wojciech Matusik and Tim Weyrich},
    title = {Goal-based Caustics},
    journal = {Computer Graphics Forum (Proceedings of Eurographics)},
    volume = {30},
    number = {2},
    year = {2011},
    month = jun,
    pages = {503–511},
    doi = {10.1111/j.1467-8659.2011.01876.x}
}