A Robust and Universal Gradient Domain Imaging Solver Using Gradient Variables and Locally Varying Metrics

dc.contributor.authorNeumann, Lászlóen_US
dc.contributor.authorHegedüs, Ramónen_US
dc.contributor.editorPauline Jepp and Oliver Deussenen_US
dc.date.accessioned2013-10-22T07:18:24Z
dc.date.available2013-10-22T07:18:24Z
dc.date.issued2010en_US
dc.description.abstractGradient 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.en_US
dc.description.seriesinformationComputational Aesthetics in Graphics, Visualization, and Imagingen_US
dc.identifier.isbn978-3-905674-24-8en_US
dc.identifier.issn1816-0859en_US
dc.identifier.urihttps://doi.org/10.2312/COMPAESTH/COMPAESTH10/017-024en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Picture/Image Generation-Display algorithmsen_US
dc.titleA Robust and Universal Gradient Domain Imaging Solver Using Gradient Variables and Locally Varying Metricsen_US
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