Variational PDE models in image processing

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Multiple level set methods with applications for identifying piecewise constant functions (2004, background): “Representations (10) and (11) can be easily generalized to higher order approximations, see [51, 13 ] for some details about using this idea for image problems.”
Advances in Studies and Applications of Centroidal Voronoi Tessellations (2010, methodology): “edge-based methods such as edge detection and thresholding, and region-based models such as region growth and level set based active contour methods [23].”
Blind Image Quality Assessment Using Joint Statistics of Gradient Magnitude and Laplacian Features (2014, background): “Many models have been proposed to extract and analyze these kinds of ‘singular’ structures in natural images, such as the Gaussian smoothed gradient magnitude [23], Laplacian of Gaussian (LOG) operator [22], discrete wavelet transform (DWT) [24], discrete cosine transform (DCT) [25], first-order Mar”