A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
Journal of the ACM (JACM)
Gradient domain high dynamic range compression
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
ACM SIGGRAPH 2003 Papers
Image fusion for context enhancement and video surrealism
Proceedings of the 3rd international symposium on Non-photorealistic animation and rendering
Interactive digital photomontage
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Non-photorealistic camera: depth edge detection and stylized rendering using multi-flash imaging
ACM SIGGRAPH 2004 Papers
Color2Gray: salience-preserving color removal
ACM SIGGRAPH 2005 Papers
Removing photography artifacts using gradient projection and flash-exposure sampling
ACM SIGGRAPH 2005 Papers
Removing photography artifacts using gradient projection and flash-exposure sampling
ACM SIGGRAPH 2005 Papers
Conveying Shape and Features with Image-Based Relighting
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Locally adapted hierarchical basis preconditioning
ACM SIGGRAPH 2006 Papers
Seamless Image Stitching of Scenes with Large Motions and Exposure Differences
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Edge Suppression by Gradient Field Transformation Using Cross-Projection Tensors
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Efficient gradient-domain compositing using quadtrees
ACM SIGGRAPH 2007 papers
Real-time gradient-domain painting
ACM SIGGRAPH 2008 papers
Computational Aesthetics'05 Proceedings of the First Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
An efficient perception-based adaptive color to gray transformation
Computational Aesthetics'07 Proceedings of the Third Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
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Gradient Domain Imaging (GDI) has gained a high importance and provoked numerous powerful applications over the last decade. It employs a workflow of creating an inconsistent gradient field (GF) from one or more images using different non-linear operations and finally it determines an image with a consistent, integrable GF that falls near to the prescribed inconsistent one. However, the result is not really predictable, often suffers from halo-effects and other local distortions at higher frequencies as well as from uncontrollable far-effects arising from local gradient-contradictions. The unfolding of these artifacts culminates in an undesired overall image appearance. None of the common GDI solvers can overcome these side-effects as they utilize the same local isotropic 'coefficient-pattern' in a sparse matrix description and they differ only in the numerical solution techniques. We present a powerful GDI method solving the problem completely in the gradient domain with gradient-variables and using spatially varying metrics that depends only on the starting inconsistent gradient field. After obtaining the nearest consistent gradient field with the pre-defined metrics we return into the image space by double integration that yields the wanted pixel intensity values. Our method delivers a great aesthetic enhancement by eliminating halo effects and saving small details, furthermore providing a realistic and pleasant overall light distribution at lower frequencies. By significantly extending the range of allowed inconsistency in the prescribed gradient field, it also allows for solving a large class of problems that proved hopeless beforehand.