Journal of Mathematical Imaging and Vision

Sliced optimal transport, which is basically a Radon transform followed by one-dimensional optimal transport, became popular in various applications due to its efficient computation. In this paper, we deal with sliced optimal transport on the ...${\mathbb{}}^{\mathrm{}}$$\mathrm{}$$\mathrm{}$$\mathrm{}$

This work describes a Bayesian framework for reconstructing the boundaries that represent targeted features in an image, as well as the regularity (i.e., roughness vs. smoothness) of these boundaries. This regularity often carries crucial ...

Spectral unmixing is important in analyzing and processing hyperspectral images (HSIs). With the availability of large spectral signature libraries, the main task of spectral unmixing is to estimate corresponding proportions called abundances of ...

We define morphological operators and filters for directional images whose pixel values are unit vectors. This requires an ordering relation for unit vectors which is obtained by using depth functions. They provide a centre-outward ordering with ...

Let $\mathcal{D}$ be a dataset of smooth 3D surfaces, partitioned into disjoint classes $C{L}_j$, $j=1,\dots ,k$. We show how optimized diffeomorphic registration applied to large numbers of pairs $(S,S^{\prime })$, $S,S^{\prime }\in \mathcal{D}$ can provide descriptive feature vectors to implement ...$\mathcal{}$${\mathbb{}}^{\mathrm{}}$${}_{}$${}^{}{}_{}$${}_{}$${}_{}{\mathbb{}}^{\mathrm{}}{\mathbb{}}^{\mathrm{}}$

We propose a method for computing continuous (exact) geometric moments on 2D binary images, based on a decomposition into overlapping rectangles and on the inclusion–exclusion principle. The approach assumes that the input is given as a chain code ...

Due to their ability to handle discontinuous images while having a well-understood behavior, regularizations with total variation (TV) and total generalized variation (TGV) are some of the best-known methods in image denoising. However, like other ...

Online optimisation facilitates the solution of dynamic inverse problems, such as image stabilisation, fluid flow monitoring, and dynamic medical imaging. In this paper, we improve upon previous work on predictive online primal–dual methods on two ...