Architectural Caustics — Controlling Light with Geometry

Kiser, Thomas; Eigensatz, Michael; Nguyen, Minh; Bompas, Philippe; Pauly, Mark

doi:10.1007/978-3-7091-1251-9_7

Cited by 25 publications

(24 citation statements)

References 15 publications

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“…We only mention that various references on the use of geometry and light in art and architecture can be found in [59], and for a recent example we point to the large Dome covering the new Louvre Abu Dhabi, which consists of several layers of metal Optimizing surfaces for the self-supporting property. Left: Cutting holes in a self-supporting surface will destroy the self-supporting property.…”

Section: Real Projectsmentioning

confidence: 99%

Architectural geometry

Pottmann

Eigensatz²,

Vaxman

et al. 2015

Computers & Graphics

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234

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a b s t r a c tAround 2005 it became apparent in the geometry processing community that freeform architecture contains many problems of a geometric nature to be solved, and many opportunities for optimization which however require geometric understanding. This area of research, which has been called architectural geometry, meanwhile contains a great wealth of individual contributions which are relevant in various fields. For mathematicians, the relation to discrete differential geometry is significant, in particular the integrable system viewpoint. Besides, new application contexts have become available for quite some old-established concepts. Regarding graphics and geometry processing, architectural geometry yields interesting new questions but also new objects, e.g. replacing meshes by other combinatorial arrangements. Numerical optimization plays a major role but in itself would be powerless without geometric understanding. Summing up, architectural geometry has become a rewarding field of study. We here survey the main directions which have been pursued, we show real projects where geometric considerations have played a role, and we outline open problems which we think are significant for the future development of both theory and practice of architectural geometry.

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Section: Real Projectsmentioning

confidence: 99%

Architectural geometry

Pottmann

Eigensatz²,

Vaxman

et al. 2015

Computers & Graphics

Self Cite

234

153

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“…Throughout the last few years, a large body of computational caustic designs have emerged in the graphics community, that mostly focusing on a refractive setting [Hullin et al 2012]. We can distinguish between discrete designs [Papas et al 2012[Papas et al , 2011Yue et al 2012] where the surface is broken into smaller elements, and continuous designs (see [Finckh et al 2010;Kiser et al 2013] as well as [Schwartzburg et al 2014;Yue et al 2014]) that yield a single smooth surface. Discrete designs have the advantage that they allow for discontinuities in the surface, which results in flatter geometries, and more lightweight, compact objects.…”

Section: Related Workmentioning

confidence: 99%

“…[Finckh et al 2010;Kiser et al 2013;Papas et al 2011]) as well as energy efficient high dynamic range (HDR) projection [Damberg et al 2016;Hoskinson et al 2010]. The general problem can be stated as designing an optical system that arranges micro-structures, material distributions, or other physical parameters of an optical element to produce a target light distribution under a given illumination condition.…”

Section: Introductionmentioning

confidence: 99%

Mix-and-match holography

et al. 2017

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Fig. 1. Overview of mix-and-match holography. We computationally design pairs of diffractive optical elements that encode multiple holograms or target images under different geometric alignments or DOE pairings (top left: encoding scheme, bottom left: fabricated DOEs). By changing the geometric alignment or pairing different DOEs, the individual encoded holograms can be de-multiplexed. Illumination with a pre-determined lighting condition produces the corresponding target image, that can be generalized in a wide range of scenarios (selected results presented on the right: through offset layer pairing (a), combinational pairing (b), multiview images' encoding (c), and animated images through linear translation (d)). The design process makes use of a combination of iterative phase retrieval methods and complex matrix factorization.Computational caustics and light steering displays offer a wide range of interesting applications, ranging from art works and architectural installations to energy efficient HDR projection. In this work we expand on this concept by encoding several target images into pairs of front and rear phasedistorting surfaces. Different target holograms can be decoded by mixing and matching different front and rear surfaces under specific geometric alignments. Our approach, which we call mix-and-match holography, is made possible by moving from a refractive caustic image formation process to a diffractive, holographic one. This provides the extra bandwidth that is required to multiplex several images into pairing surfaces.We derive a detailed image formation model for the setting of holographic projection displays, as well as a multiplexing method based on a combination of phase retrieval methods and complex matrix factorization. We demonstrate several application scenarios in both simulation and physical prototypes.

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“…BRDF fabrication is another passive approach, aimed at generating surfaces with user-defined appearance properties [Weyrich et al 2009;Finckh et al 2010;Papas et al 2011;Kiser et al 2012;Dong et al 2010;Hašan et al 2010;Matusik et al 2009;Patow and Pueyo 2005;Patow et al 2007;Weyrich et al 2007;Malzbender et al 2012;Lan et al 2013]. A number of these works [Weyrich et al 2009;Papas et al 2011] are based on micro-facet theory [Torrance and Sparrow 1967] and similar geometric optics extensions, modeling the surface micro-structure as a collection of small facets, usually mirrors.…”

Section: E-inkmentioning

confidence: 99%

A reflectance display

2014

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Figure 1: We introduce a reflectance display: a dynamic digital array of dots, each of which can independently display a custom, timevarying reflectance function. The display passively reacts to illumination and viewpoint changes in real-time, without any illuminationrecording sensors, head tracking, or on-the-fly rendering. In this example the time-varying reflectance functions create a "reflectance video" that gives the illusion of a dynamic 3D model being physically-shaded by the room's ambient lighting. The top row shows a time-sequence of photographs of the dynamic display from a stationary viewpoint under fixed ambient lighting, and the bottom row shows how the display reacts to changes in ambient lighting by passively inducing the appropriate 3D shading effects. AbstractWe present a reflectance display: a dynamic digital display capable of showing images and videos with spatially-varying, userdefined reflectance functions. Our display is passive: it operates by phase-modulation of reflected light. As such, it does not rely on any illumination recording sensors, nor does it require expensive on-the-fly rendering. It reacts to lighting changes instantaneously and consumes only a minimal amount of energy. Our work builds on the wave optics approach to BRDF fabrication of Levin et al. shortciteLevinBRDFFab13. We replace their expensive onetime hardware fabrication with a programable liquid crystal spatial light modulator, retaining high resolution of approximately 160 dpi. Our approach enables the display of a much wider family of angular reflectances, and it allows the display of dynamic content with time varying reflectance properties-"reflectance videos". To facilitate these new capabilities we develop novel reflectance design algorithms with improved resolution tradeoffs. We demonstrate the utility of our display with a diverse set of experiments including display of custom reflectance images and videos, interactive reflectance editing, display of 3D content reproducing lighting and depth variation, and simultaneous display of two independent channels on one screen.

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Architectural Caustics — Controlling Light with Geometry

Cited by 25 publications

References 15 publications

Architectural geometry

Architectural geometry

Mix-and-match holography

A reflectance display

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