Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing
Journal of Scientific Computing
Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions
Journal of Mathematical Imaging and Vision
Dual Norms and Image Decomposition Models
International Journal of Computer Vision
Image Decomposition into a Bounded Variation Component and an Oscillating Component
Journal of Mathematical Imaging and Vision
Structure-Texture Image Decomposition--Modeling, Algorithms, and Parameter Selection
International Journal of Computer Vision
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Color Texture Modeling and Color Image Decomposition in a Variational-PDE Approach
SYNASC '06 Proceedings of the Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
Image decomposition via the combination of sparse representations and a variational approach
IEEE Transactions on Image Processing
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Dynamic, or temporal, texture is a spatially repetitive, time-varying visual pattern that forms an image sequence with a certain temporal stationarity. Important tasks are thus the detection, segmentation and perceptual characterization of Dynamic Texture (DT). Following recent work, color image decomposition appears as a good way to reach these different aims, however, to our best knowledge, no proposed model is currently able to deal with temporal aspect, inherent to color image sequences.The major contribution of this paper is to adapt static decomposition model to time aspect in order to deal with videos and color image sequences. In this paper we propose an extended decomposition model which splits a video into two components, a first one containing geometrical information, the structure of the sequence and a second one dynamic color texture and noise. Examples for color video decomposition and characterization of real dynamic present in texture component will be presented.