-
Article
On the Philosophical Standpoint of a Recent Mathematical Color Perception Model
The problem of explaining color perception has fascinated painters, philosophers and scientists throughout the history. In many cases, the ideas and discoveries about color perception in one of these categorie...
-
Article
From Riemannian Trichromacy to Quantum Color Opponency via Hyperbolicity
We propose a mathematical description of human color perception that relies on a hyperbolic structure of the space \({\mathcal {P}}\) ...
-
Chapter and Conference Paper
Hunt’s Colorimetric Effect from a Quantum Measurement Viewpoint
The main aim of this paper is to describe how the colorimetric phenomenon known as ‘Hunt effect’ can be understood in the quantum framework developed by the authors to model color perception of trichromatic ob...
-
Chapter and Conference Paper
When Geometry Meets Psycho-Physics and Quantum Mechanics: Modern Perspectives on the Space of Perceived Colors
We discuss some modern perspectives about the mathematical formaliz...
-
Article
Preface
-
Article
Spin Geometry and Image Processing
We give a survey of applications of spin geometry to image processing. We mainly focus on the problem of defining geometric Fourier transforms for both grey-level and color images. The definitions we propose r...
-
Article
Conformal Geometry for Viewpoint Change Representation
We propose in this paper a new model for image representation based on the conformal geometry and its powerfulness to encode perspective distortions through the choice of basis of the Minkowski space ...
-
Chapter
Clifford–Fourier Transform and Spinor Representation of Images
We propose in this chapter to introduce a spinor representation for images based on the work of T. Friedrich. This spinor representation generalizes the usual Weierstrass representation of minimal surfaces (i.e.,...
-
Chapter
Color Representation and Processes with Clifford Algebra
In the literature, colour information of pixels of an image has been represented by different structures. Recently algebraic entities such as quaternions or Clifford algebras have been used to perform image pr...
-
Article
The Color Monogenic Signal: Application to Color Edge Detection and Color Optical Flow
The aim of this paper is to define an extension of the analytic signal for a color image. We generalize the construction of the so-called monogenic signal to map**s with values in the vectorial part of the C...
-
Article
Clifford Algebra Bundles to Multidimensional Image Segmentation
We present a new theoretical framework for multidimensional image processing using Clifford algebras. The aim of the paper is to detect edges by computing the first fundamental form of a surface associated to ...
-
Chapter
Clifford–Fourier Transform for Color Image Processing
The aim of this paper is to define a Clifford–Fourier transform that is suitable for color image spectral analysis. There have been many attempts to define such a transformation using quaternions or Clifford a...
-
Article
A Metric Approach to nD Images Edge Detection with Clifford Algebras
The aim of this paper is to perform edge detection in color-infrared images from the point of view of Clifford algebras. The main idea is that such an image can be seen as a section of a Clifford bundle associ...
-
Chapter and Conference Paper
The Clifford-Hodge Flow: An Extension of the Beltrami Flow
In this paper, we make use of the theory of Clifford algebras for anisotropic smoothing of vector-valued data. It provides a common framework to smooth functions, tangent vector fields and map**s taking valu...
-
Article
Acute lung injury
-
Article
Mutation in the iron responsive element of the L ferritin mRNA in a family with dominant hyperferritinaemia and cataract
The synthesis of ferritin, the iron-storing molecule, is regulated at the translational level by iron through interaction between a cytoplasmic protein, iron regulatory protein (IRP), and a conserved nucleotid...
