Objective
The goal of this project is the mathematical investigation of smoothness and self-similarity principles in generating natural images, the mathematical formulation and unification of both ideas in a variational form, and its application to develop models and algorithms for image processing tasks.
The proposed research will lead to the formulation and mathematical analysis of new variational principles for image and movie processing, the analysis of their underlying geometric measure theory and partial differential equations, unifying local and nonlocal approaches as respective mathematical expressions of the ideas of regularity and self-similarity. Our research will be guided by a thorough investigation of the inpainting problem (including images, video and stereo video inpainting), as a very suitable model for testing the proposed ideas.
The first practical impact will be the development of models and algorithms for 2D and 3D image and video editing and manipulation, enabling the deletion and insertion of objects. As a second impact we will provide the theoretical background and implementation of a set of algorithms for 2D to 3D conversion of video data enabling the generation of 3D content for 3D TV from existing 2D video. Due to its fundamental nature, the proposed models may impact other image and video processing areas such as denoising, restoration, optical flow computation, or stereo, that share similar challenges. Although their study is not in the scope of this project, it will be fostered by the dissemination of our results and the public release of our algorithms.
The PI has a long experience in the variational formulation of image processing problems, with key contributions in the variational formulations of edge detection and image inpainting, mathematical morphology, and the analysis of Total Variation based models. On the practical side, he has been contributing to the development of video post-production tools in several projects led by industry.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- humanities arts modern and contemporary art cinematography
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2012-ADG_20120216
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
08002 Barcelona
Spain
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.