Publications


Computer graphics

Proceedings

Alexander Keller and Per Christensen, editors.
Proceedings of the IEEE/EG Symposium on Interactive Ray Tracing 2007.
IEEE / Eurographics, September 2007.

Per Christensen and Daniel Cohen-Or, editors.
Rendering Techniques 2003 (Proceedings of the Eurographics Symposium on Rendering 2003).
Eurographics / ACM, June 2003.

Journal articles, conference papers, course notes, book chapters, etc.

Tom Duff, James Burgess, Per Christensen, Christophe Hery, Andrew Kensler, Max Liani, and Ryusuke Villemin.
Building an Orthonormal Basis, Revisited.
Journal of Computer Graphics Techniques, volume 6, number 1, 2017.

Per H. Christensen and Wojciech Jarosz.
The Path to Path-Traced Movies.
Foundations and Trends in Computer Graphics and Vision, volume 10, number 2, pages 103-175.
Now Publishers, 2016.

Alexander Keller, Luca Fascione, Marcos Fajardo, Per H. Christensen, Johannes Hanika, Christian Eisenacher, and Greg Nichols.
The Path-Tracing Revolution in the Movie Industry.
SIGGRAPH 2015 Course.
ACM, August 2015.

Per H. Christensen.
An Approximate Reflectance Profile for Efficient Subsurface Scattering.
SIGGRAPH 2015 Technical Talk.
ACM, August 2015.

Per H. Christensen and Brent Burley.
Approximate Reflectance Profiles for Efficient Subsurface Scattering.
Pixar Technical Memo #15-04.
Pixar, July 2015.

Ralf Habel, Per H. Christensen, and Wojciech Jarosz.
Photon Beam Diffusion: A Hybrid Monte Carlo Method for Subsurface Scattering.
Computer Graphics Forum (Proceedings of the Eurographics Symposium on Rendering 2013), volume 32, number 4, pages 27-37.
Eurographics / Blackwell Publishers, June 2013.

Ralf Habel, Per H. Christensen, and Wojciech Jarosz.
Classical and Modified Diffusion Theory for Subsurface Scattering.
Technical Report. Disney Research Zurich and Pixar, June 2013.

Per H. Christensen.
Improved Subsurface Scattering.
PhotoRealistic RenderMan Application Note.
Pixar, January 2013.

Toshiya Hachisuka, Wojciech Jarosz, Guillaume Bouchard, Per H. Christensen, Jeppe Revall Frisvad, Wenzel Jacob, Henrik Wann Jensen, Michael Kaschalk, Andrew Selle, Ben Spencer, and Matthias Zwicker.
State of the Art in Photon Density Estimation.
SIGGRAPH 2012 Course Note.
ACM, August 2012.

Per H. Christensen, George Harker, Jonathan Shade, Brenden Schubert, and Dana Batali.
Multiresolution Radiosity Caching for Global Illumination in Movies.
SIGGRAPH 2012 Technical Talk.
ACM, August 2012.

Per H. Christensen, George Harker, Jonathan Shade, Brenden Schubert, and Dana Batali.
Multiresolution Radiosity Caching for Efficient Preview and Final Quality Global Illumination in Movies.
Pixar Technical Memo #12-06.
Pixar, July 2012.

Per H. Christensen.
New Photon Mapping Features.
PhotoRealistic RenderMan Application Note.
Pixar, April 2012.

Per H. Christensen.
Image-Based Relighting.
PhotoRealistic RenderMan Application Note.
Pixar, November 2010.

Jaroslav Krivanek, Marcos Fajardo, Per H. Christensen, Eric Tabellion, Michael Bunnell, David Larsson, and Anton Kaplanyan.
Global Illumination Across Industries.
SIGGRAPH 2010 Course Note.
ACM, July 2010.

Jaroslav Krivanek, Pascal Gautron, Greg Ward, Henrik Wann Jensen, Eric Tabellion, and Per H. Christensen.
Practical Global Illumination with Irradiance Caching.
SIGGRAPH 2008 Course Note #16.
ACM, August 2008.

Per H. Christensen.
Point-Based Approximate Color Bleeding.
Pixar Technical Memo #08-01.
Pixar, July 2008.

Henrik Wann Jensen and Per H. Christensen.
High-Quality Rendering Using Ray Tracing and Photon Mapping.
SIGGRAPH 2007 Course Note #8.
ACM, August 2007.

Per H. Christensen.
Photon Mapping for General Shaders.
PhotoRealistic RenderMan Application Note.
Pixar, June 2007.

Per H. Christensen.
Point Clouds and Brick Maps for Movie Production.
Chapter 8.4 in Markus Gross and Hanspeter Pfister, editors, Point-Based Graphics.
Morgan Kaufmann Publishers, May 2007.

Per H. Christensen, Julian Fong, David M. Laur, and Dana Batali.
Ray Tracing for the Movie 'Cars'.
Proceedings of the IEEE Symposium on Interactive Ray Tracing 2006, pages 1-6.
IEEE, September 2006. (Invited paper and keynote talk.)

Per H. Christensen.
The Brick Map as Geometric Primitive.
PhotoRealistic RenderMan Application Note #44.
Pixar, December 2005.

Per H. Christensen.
Point-Based Approximate Ambient Occlusion and Color Bleeding.
PhotoRealistic RenderMan Application Note #42.
Pixar, November 2005.
Per H. Christensen and Dana Batali.
An Irradiance Atlas for Global Illumination in Complex Production Scenes.
Rendering Techniques 2004 (Proceedings of the Eurographics Symposium on Rendering 2004), pages 133-141.
Eurographics / ACM, June 2004.

Per H. Christensen.
Baking 3D Textures: Point Clouds and Brick Maps.
PhotoRealistic RenderMan Application Note #39.
Pixar, May 2004.

Per H. Christensen, David M. Laur, Julian Fong, Wayne L. Wooten, and Dana Batali.
Ray Differentials and Multiresolution Geometry Caching for Distribution Ray Tracing in Complex Scenes.
Computer Graphics Forum (Eurographics 2003 Conference Proceedings), volume 22, number 3, pages 543-552.
Blackwell Publishers, September 2003.

Cyrille Damez, Philipp Slusallek, Bruce J. Walter, Karol Myszkowski, Ingo Wald, and Per H. Christensen.
Global Illumination for Interactive Applications and High-Quality Animations.
SIGGRAPH 2003 Course Note #27.
ACM, July 2003.

Dana Batali, David M. Laur, Per H. Christensen, Christophe Hery, and many others.
RenderMan, Theory and Practice.
SIGGRAPH 2003 Course Note #9.
ACM, July 2003.

Per H. Christensen.
Adjoints and Importance in Rendering: an Overview.
IEEE Transactions on Visualization and Computer Graphics (TVCG), volume 9, number 3, pages 329-340.
IEEE, July 2003.

Per H. Christensen.
Translucency and Subsurface Scattering.
PhotoRealistic RenderMan Application Note #37.
Pixar, October 2002.

Henrik Wann Jensen, Frank Suykens, Per H. Christensen, and Toshi Kato.
A Practical Guide to Global Illumination using Photon Mapping.
SIGGRAPH 2002 Course Note #43.
ACM, July 2002.

Per H. Christensen.
Ambient Occlusion, Image-Based Illumination, and Global Illumination.
PhotoRealistic RenderMan Application Note #35.
Pixar, April 2002.

Per H. Christensen.
Caustics.
PhotoRealistic RenderMan Application Note #34.
Pixar, April 2002.

Toshiaki Kato, Hitoshi Nishimura, Tadashi Endo, Tamotsu Maruyama, Jun Saito, and Per H. Christensen.
Parallel Rendering and the Quest for Realism: The 'Kilauea' Massively Parallel Ray Tracer.
In Alan Chalmers et al., Practical Parallel Processing for Today's Rendering Challenges.
SIGGRAPH 2001 Course Note #40, pages IV-1 to IV-59. ACM, August 2001.

Henrik Wann Jensen, Frank Suykens, and Per H. Christensen.
A Practical Guide to Global Illumination using Photon Mapping.
SIGGRAPH 2001 Course Note #38.
ACM, August 2001.

Per H. Christensen.
Faster Photon Map Global Illumination.
Journal of Graphics Tools, volume 4, number 3, pages 1-10. ACM, 1999.
(Reprinted in: Ronen Barzel, editor, Graphics Tools: The JGT Editors' Choice, pages 241-251, A K Peters, 2005.)

Per H. Christensen and Thomas Driemeyer.
Caustics and Global Illumination.
Chapter 7 of Thomas Driemeyer, Rendering with Mental Ray.
Springer-Verlag, 2000.

Per H. Christensen.
Importance for Ray Tracing.
Ray Tracing News, volume 12, number 2.
ACM, December 1999.

Marc Stamminger, Dan Wexler, Wolfgang Kresse, Nicolas Holzschuch, and Per H. Christensen.
Advanced Radiosity: Complex Scenes and Glossy Reflections.
Eurographics '99 Tutorial T1.
Eurographics, September 1999.

Per H. Christensen.
Contour Rendering.
Computer Graphics, volume 33, number 1, pages 58-61.
ACM, February 1999.

Henrik Wann Jensen and Per H. Christensen.
Efficient Simulation of Light Transport in Scenes with Participating Media using Photon Maps.
Computer Graphics (Proceedings of SIGGRAPH '98), pages 311-320.
ACM, July 1998.

Per H. Christensen.
Global Illumination for Professional 3D Animation, Visualization, and Special Effects.
Rendering Techniques '97 (Proceedings of the Eighth Eurographics Workshop on Rendering), pages 321-326.
Springer-Verlag, 1997. (Invited paper and talk.)

Per H. Christensen, Dani Lischinski, Eric J. Stollnitz, and David H. Salesin.
Clustering for Glossy Global Illumination.
ACM Transactions on Graphics (TOG), volume 16, number 1, pages 2-33.
ACM, January 1997.

Per H. Christensen, Eric J. Stollnitz, David H. Salesin, and Tony D. DeRose.
Global Illumination of Glossy Environments using Wavelets and Importance.
ACM Transactions on Graphics (TOG), volume 15, number 1, pages 37-71.
ACM, January 1996.

Per H. Christensen, Eric J. Stollnitz, David H. Salesin, and Tony D. DeRose.
Wavelet Radiance.
Photorealistic Rendering Techniques (Proceedings of the Fifth Eurographics Workshop on Rendering), pages 295-309.
Springer-Verlag, 1994.

Per H. Christensen, David H. Salesin, and Tony D. DeRose.
A Continuous Adjoint Formulation for Radiance Transport.
Proceedings of the Fourth Eurographics Workshop on Rendering, pages 95-104.
Eurographics, June 1993.

Dissertation

Per H. Christensen.
Hierarchical Techniques for Glossy Global Illumination.
Ph.D. dissertation. University of Washington, Seattle, Washington, July 1995.
(Technical report UW-CSE-95-07-04.)

Images

Per H. Christensen.
"Teapot in maze".
Julie Dorsey, Holly Rushmeier, Francois Sillion, Digital Modeling of Material Appearance, page 264.
Morgan Kaufmann Publishing, 2008.

Per H. Christensen.
"Irradiance atlas".
Rendering Techniques 2004 (Proceedings of the Eurographics Symposium on Rendering 2004), front cover.
Eurographics / ACM, June 2004.

Per H. Christensen.
"Orange interior".
Journal of Graphics Tools, volume 4, number 3, front cover.
ACM, April 2000.

Per H. Christensen.
"Foggy Cornell box".
Computer Graphics (SIGGRAPH 98 Conference Proceedings), back cover.
ACM, July 1998.

Per H. Christensen.
"Cornell box with two spheres".
Anthony Rossano, Inside Softimage 3D, page 700.
New Riders Publishing, 1998.

Henrik Wann Jensen, Charlotte Manning, and Per H. Christensen.
"Dusty room illuminated by sunlight through a stained glass window".
Anne M. Spalter, The Computer in the Visual Arts, page 258.
Addison-Wesley Publishing Co., 1998.

Per H. Christensen.
"Interior scene".
Eric J. Stollnitz, Tony D. DeRose, and David H. Salesin, Wavelets for Computer Graphics, color plate 15.
Morgan Kaufmann Publishers, 1996.

Animations

Per H. Christensen, Henrik Wann Jensen, and Steffen Volz.
The Cornell Box -- Up in Smoke.
SIGGRAPH 98 Animation Festival. ACM, July 1998.

Henrik Wann Jensen, Charlotte Manning, Steffen Volz, and Per H. Christensen.
Underwater Sunbeams.
SIGGRAPH 98 Electronic Theater. ACM, July 1998.


Computer vision

Per H. Christensen and Linda G. Shapiro.
Three-Dimensional Shape from Color Photometric Stereo.
International Journal of Computer Vision (IJCV), volume 13, number 2, pages 213-227.
Kluver Academic Publishers, October 1994.

Per Christensen.
Estimating Camera Position to Line Up CG Elements with Live-Action Shots.
ILM Technical Memo 1058.
Industrial Light & Magic, August 1993. (Not publicly available.)

Per H. Christensen and Linda G. Shapiro.
Determining the Shape of Multi-Colored Dichromatic Surfaces using Color Photometric Stereo.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pages 767-768.
IEEE, June 1993.


VLSI design

Henrik Hulgaard, Per H. Christensen, and Jørgen Staunstrup.
Synthesis of Delay Insensitive Circuits from Verified Programs.
In Jean-Pierre Banatre and Daniel Le Metayer, editors, Research Directions in High-Level Parallel Programming Languages, pages 326-337.
Springer-Verlag (LNCS #574), 1991.

Henrik Hulgaard and Per H. Christensen.
Automated Synthesis of Delay-Insensitive Circuits.
Masters thesis.
Technical University of Denmark, Lyngby, Denmark, August 1990.


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