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Combining Higher-Order Wavelets and Discontinuity Meshing: a Compact Representation for Radiosity [article]

N. Holzschuch, L. Alonso
2004 Symposium on Rendering  
In this paper, we present a method for computing radiosity that uses higher-order wavelet functions as a basis, and introduces discontinuities only when they simplify the resulting mesh.  ...  Radiosity computations using Higher-Order wavelets achieve a compact representation of the illumination on many parts of the scene, but are more expensive near discontinuities, such as shadow boundaries  ...  Conclusion and Future Directions In this paper, we have presented a new algorithm for radiosity computations, that combines higher-order wavelets with discontinuity meshing.  ... 
doi:10.2312/egwr/egsr04/275-286 fatcat:ujvp5fwyffc3bpxwppsdkx4kf4

The virtual mesh: a geometric abstraction for efficiently computing radiosity

L. Alonso, F. Cuny, S. Petit Jean, J.-C. Paul, S. Lazard, E. Wies
2001 ACM Transactions on Graphics  
To demonstrate the power of our method, we describe a high-order wavelet radiosity implementation that uses the virtual mesh.  ...  takes fully advantage of the rich and compact mathematical representation of objects.  ...  [Winkler 1998 ]) and also because it is what makes higher-order wavelets good and efficient for radiosity.  ... 
doi:10.1145/501786.501789 fatcat:y4ujmqunqvcwrl2v2yqt5j77fi

A Novel Approach Makes Higher Order Wavelets Really Efficient for Radiosity

François Cuny, Laurent Alonso, Nicolas Holzschuch
2000 Computer graphics forum (Print)  
A previous study 13 has shown that wavelet radiosity, and especially higher order wavelet radiosity was not bringing significant improvements over hierarchical radiosity and was having a very important  ...  Since wavelets were introduced in the radiosity algorithm 5 , surprisingly little research has been devoted to higher order wavelets and their use in radiosity algorithms.  ...  It was his insight that started this work on higher order wavelets, and it was his advice and support that ensured its success.  ... 
doi:10.1111/1467-8659.00402 fatcat:uowrd4e3dbaezo6lc3wr24t6l4

Precomputed Radiance Transfer for Real-time Indirect Lighting using a Spectral Mesh Basis [article]

Rui Wang, Jiajun Zhu, Greg Humphreys
2007 Symposium on Rendering  
Our key idea is to represent both the direct lighting and precomputed diffuse indirect transfer using a spectral mesh basis set derived from an arbitrary scene model [KG00].  ...  Simulating indirect lighting effects has been a challenging topic in many real-time rendering and design applications.  ...  Acknowledgements The authors would like to thank Sridhar Mahadevan and Ewen Cheslack-Postava for discussions about the spectral basis, and Oskar Akerlund and Mattias Unger for creating several of the scene  ... 
doi:10.2312/egwr/egsr07/013-021 fatcat:7lsl7mdpsbhhld7gzjt5gqyi7q

Space-Time Hierarchical Radiosity with Clustering and Higher-OrderWavelets [article]

Cyrille Damez, Nicolas Holzschuch, Francois X. Sillion
2001 Eurographics State of the Art Reports  
temporal discontinuities in the illumination, a particularly dangerous and noticeable artifact.  ...  proposing the integration of spatial clustering in a space-time hierarchy; second, by changing the wavelet basis used for the temporal dimension.  ...  Higher-Order Wavelets for Space-Time Hierarchical Radiosity We introduce higher-order wavelets in the time dimension of space-time hierarchical radiosity to reduce temporal discontinuities in radiosity  ... 
doi:10.2312/egs.20011002 fatcat:isdqmu62zfczxii26dnwbh54a4

Space-Time Hierarchical Radiosity with Clustering and Higher-Order Wavelets

Cyrille Damez, Nicolas Holzschuch, Francois X. Sillion
2004 Computer graphics forum (Print)  
proposing the integration of spatial clustering in a space-time hierarchy; second, by using a higher-order wavelet basis adapted for the temporal dimension.  ...  temporal discontinuities in the illumination, a particularly noticeable artifact.  ...  Higher-order wavelets have been previously used as function basis for the representation of radiosity [21, 22] .  ... 
doi:10.1111/j.1467-8659.2004.00747.x fatcat:77mtqyilmvhfxp5f2df3kaue6i

Master-element vector irradiance for large tessellated models

Grégory Lecot, Bruno Lévy, Laurent Alonso, Jean-Claude Paul
2005 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia - GRAPHITE '05  
Our method computes a compact representation of vector irradiance, represented by high-order wavelet bases.  ...  In addition, we propose a high-order and hierarchical extension of the Master Element method.  ...  Acknowledgements Thanks to the EU Network of Excellence AIM@Shape (IST NoE No 506766) for supporting B.Lévy. Thanks to Stanford University and Digital Michelangelo project for the models.  ... 
doi:10.1145/1101389.1101454 dblp:conf/graphite/LecotLAP05 fatcat:kkr4on7d7bekhfhl7g4pyrynwu

Fast and accurate hierarchical radiosity using global visibility

Frédo Durand, George Drettakis, Claude Puech
1999 ACM Transactions on Graphics  
We introduce a hierarchy of triangulations which allows the generation of a hierarchical radiosity solution using accurate visibility and meshing.  ...  High-quality meshing is effected based on a perceptually-based ranking strategy which results in appropriate insertions of discontinuity curves into the meshes representing illumination.  ...  Acknowledgments We wish to thank Seth Teller for the discussions we had about visibility, Dani Lischinski for his insights on radiosity and discontinuity meshing, and Francois Sillion and Cyril Soler for  ... 
doi:10.1145/318009.318012 fatcat:mrobcgnrojfbrcpdhgjhmdokzq

Texture-based visibility for efficient lighting simulation

Cyril Soler, F. X. Sillion
2000 ACM Transactions on Graphics  
In our system, radiosity is therefore represented as a combination of textures and piecewise constant or linear contributions over mesh elements at multiple hierarchical levels.  ...  We give a detailed description of the gather, push/pull and display stages of the hierarchical radiosity algorithm, adapted to seamlessly integrate both representations.  ...  We also would like to thank the referees for their useful comments and suggestions.  ... 
doi:10.1145/380666.380679 fatcat:v6qjmwserncj3pk6gb5dmlhxx4

Neural Radiosity [article]

Saeed Hadadan, Shuhong Chen, Matthias Zwicker
2021 arXiv   pre-print
Our approach decouples solving the rendering equation from rendering (perspective) images similar as in traditional radiosity techniques, and allows us to efficiently synthesize arbitrary views of a scene  ...  Our approach leads to an algorithm that is simple to implement, and we demonstrate its effectiveness on a variety of scenes with non-diffuse surfaces.  ...  Even with higher-order polynomials, however, it is challenging to represent solutions of complex scenes accurately and compactly.  ... 
arXiv:2105.12319v1 fatcat:6nr62aopaff6tdtbmhw3lp36vm

Multiresolution Analysis [chapter]

2010 Fundamentals of Wavelets  
They are now considered a powerful tool for efficiently representing functions at multiple levels-of-detail with many inherent advantages, including compression, Level-Of-Details (LOD) display, progressive  ...  transmission and LOD editing.  ...  Fig. 2 . 2 Quadratic B-wavelets for the uniform case (left) and multiple knots (middle and right). Note a triple knot renders the quadratic B-wavelet discontinuous.  ... 
doi:10.1002/9780470926994.ch5 fatcat:bbd2jxurcnbz5hurv4vudpkj2y

Scene Representation Technologies for 3DTV—A Survey

A. Ayd¿n Alatan, Yucel Yemez, U¿ur Gudukbay, Xenophon Zabulis, Karsten Muller, Çi¿dem Ero¿lu Erdem, Christian Weigel, Aljoscha Smolic
2007 IEEE transactions on circuits and systems for video technology (Print)  
As surface representations, polygonal meshes are quite popular due to their generality and current hardware support.  ...  Smooth subdivision surfaces, which offer a good compromise between polygonal meshes and NURBS surfaces, require sophisticated geometry modeling tools and are usually difficult to obtain.  ...  Ward for her proofreading and suggestions.  ... 
doi:10.1109/tcsvt.2007.909974 fatcat:gubjtzvchzfdlps4d7zu3v2kra

A unified approach for hierarchical adaptive tesselation of surfaces

Luiz Velho, Luiz Henrique de Figueiredo, Jonas Gomes
1999 ACM Transactions on Graphics  
This paper introduces a uni ed and general tesselation algorithm for parametric and implicit surfaces.  ...  The algorithm produces a hierarchical mesh that is adapted to the surface geometry and has a multiresolution and progressive structure.  ...  The authors are partially supported by research grants from the Brazilian Council for Scienti c and Technological Development CNPq and Rio de Janeiro Research Foundation FAPERJ. L.  ... 
doi:10.1145/337680.337717 fatcat:3eeyjj5ekrcthluh2dfsibplzm

Shadowing Dynamic Scenes with Arbitrary BRDFs

Derek Nowrouzezahrai, Evangelos Kalogerakis, Eugene Fiume
2009 Computer graphics forum (Print)  
Our approach is based on a compact representation of reflectance data that allows for changing the BRDF at run-time and a data-driven method for accurately synthesizing self-shadows on articulated and  ...  We present a real-time relighting and shadowing method for dynamic scenes with varying lighting, view and BRDFs.  ...  , Robert Sumner and Jovan Popovic for the animal datasets, and Alexis Angelidis for the Pai datasets.  ... 
doi:10.1111/j.1467-8659.2009.01364.x fatcat:f26443yy7zdivls3o7zhlvdire

Composite wavelet bases for operator equations

Wolfgang Dahmen, Reinhold Schneider
1999 Mathematics of Computation  
This paper is concerned with the construction of biorthogonal wavelet bases de ned on a union of parametric images of the unit n-cube.  ...  This covers also elliptic boundary value problems although this study is primarily motivated by our previous analysis of wavelet methods for pseudo-di erential equations with special emphasis on boundary  ...  radiosity concept.  ... 
doi:10.1090/s0025-5718-99-01092-3 fatcat:ayn6mefy6jdnbpo36dcvs2wg7m
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