The information available to a moving observer from specularities
Image and Vision Computing - 4th Alvey Vision Meeting
The iterative solution of a nonlinear inverse problem from industry: design of reflectors
Proceedings of the international conference on Curves and surfaces in geometric design
A Theory of Specular Surface Geometry
International Journal of Computer Vision
The NURBS book (2nd ed.)
A signal-processing framework for inverse rendering
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Global random optimization by simultaneous perturbation stochastic approximation
Proceedings of the 33nd conference on Winter simulation
Rates of Convergence for a Class of Global Stochastic Optimization Algorithms
SIAM Journal on Optimization
Robust monte carlo methods for light transport simulation
Robust monte carlo methods for light transport simulation
Inverse Polarization Raytracing: Estimating Surface Shapes of Transparent Objects
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
3D Acquisition of mirroring objects using striped patterns
Graphical Models
Reconstructing the Geometry of Flowing Water
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
A Theory of Refractive and Specular 3D Shape by Light-Path Triangulation
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Relief Texture from Specularities
IEEE Transactions on Pattern Analysis and Machine Intelligence
WSC '04 Proceedings of the 36th conference on Winter simulation
Technical Section: User-guided inverse reflector design
Computers and Graphics
Fluorescent immersion range scanning
ACM SIGGRAPH 2008 papers
Fabricating microgeometry for custom surface reflectance
ACM SIGGRAPH 2009 papers
Tomographic reconstruction of transparent objects
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Pixel Art with Refracted Light by Rearrangeable Sticks
Computer Graphics Forum
The magic lens: refractive steganography
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Fabricating BRDFs at high spatial resolution using wave optics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Spec2Fab: a reducer-tuner model for translating specifications to 3D prints
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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In this work we investigate an inverse geometry problem. Given a light source, a diffuse plane and a caustic image, how must a geometric object look like (transmissive or reflective) in oder to project the desired caustic onto the diffuse plane when lit by the light source? In order to construct the geometry we apply an analysis-by-synthesis approach, exploiting the GPU to accelerate caustic rendering based on the current geometry estimate. The optimization is driven by simultaneous perturbation stochastic approximation (SPSA). We confirm that this algorithm converges to the global minimum with high probability even in this ill-posed setting. We demonstrate results for precise geometry reconstruction given a caustic image and for reflector design producing an intended light distribution.