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  1. Article

    Open Access

    Geometry of color perception. Part 2: perceived colors from real quantum states and Hering’s rebit

    Inspired by the pioneer work of H.L. Resnikoff, which is described in full detail in the first part of this two-part paper, we give a quantum description of the space P \(\mathcal{P}\) of perceived colors. We s...

    M. Berthier in The Journal of Mathematical Neuroscience (2020)

  2. No Access

    Chapter and Conference Paper

    A Riemannian Fourier Transform via Spin Representations

    We introduce a new Riemannian Fourier transform for color image processing. The construction involves spin characters and spin representations of complex Clifford algebras. Examples of applications to low-pass...

    T. Batard, M. Berthier in Geometric Science of Information (2013)

  3. No Access

    Article

    Sur l'intégration des équations différentielles holomorphes réduites en dimension deux

    Le problème auquel on s'intéresse consiste à détecter parmi les formes réduites à l'origine deC 2 celles qui possèdent des intégrales premières liouvilliennes ou appartenant à la classe de Nilsson. Pour cela, on ...

    M. Berthier, F. Touzet in Boletim da Sociedade Brasileira de Matemát… (1999)

  4. No Access

    Article

    Life-threatening haemorrhage from an ulcerated haemangioma: Treatment by transcutaneous in-situ sclerosis

    T. Boussemart, A. Nasimi, J. Drouineau, M. Berthier in European Journal of Pediatrics (1995)

  5. No Access

    Article

    Omphalocele in a newborn baby exposed to sodium valproate in utero

    We report on a newborn baby, exposed to valproic acid in utero, with the typical dysmorphic features of the fetal valproate syndrome and omphalocele. One identical case has already been reported after valproic...

    T. Boussemart, D. Bonneau, M. Berthier, D. Oriot in European Journal of Pediatrics (1995)

  6. No Access

    Article

    Coffin-siris syndrome with normal plasma biotinidase activity

    D. Bonneau, M. Berthier, D. Oriot, A. Munnich in European Journal of Pediatrics (1991)

  7. No Access

    Article

    Caffey disease responding to high-dose immunoglobulin

    M. Berthier, D. Bonneau, J. L. Huret in European Journal of Pediatrics (1988)

  8. No Access

    Article

    Haemolytic uraemic syndrome associated with cryptosporidium oocysts

    M. Berthier, C. Lacroix, G. Agius, H. Nivet, S. Boufassa in European Journal of Pediatrics (1988)

  9. No Access

    Article

    Cryptosporidium oocysts in immunocompetent children: Epidemiologic investigations in the day-care centers of Poitiers, France

    The recent discovery of self-resolving Cryptosporidium infection in immunocompetent patients has aroused growing interest in this parasite, which has thus far been known to affect mainly immunodeficient individua...

    C. Lacroix, M. Berthier, G. Agius, D. Bonneau, B. Pallu in European Journal of Epidemiology (1987)

  10. No Access

    Article

    Down syndrome with duplication of a region of chromosome 21 containing the CuZn superoxide dismutase gene without detectable karyotypic abnormality

    We report the case of an 18-month-old boy with many typical Down syndrome features but a normal cytogenetic analysis. High-resolution banding techniques on lymphocytes and fibroblasts of the propositus and his...

    J. L. Huret, J. M. Delabar, F. Marlhens, A. Aurias, A. Nicole in Human Genetics (1987)

  11. No Access

    Article

    Intraventricular tuberculoma

    Four case of intraventricular tuberculoma (IVT) in children are here reported. In none of the patients was there clinical evidence pointing to the intraventricular location. CT scan findings comprised three st...

    M. Berthier, J. Sierra, R. Leiguarda in Neuroradiology (1987)

  12. No Access

    Article

    Rhino-orbital phycomycosis complicated by cerebral abscess

    The incidence of phycomicosis has increased in the last decades. Its diagnosis is very difficult and usually not established ante morten. Early treatment is of crucial importance, because despite the antifunga...

    M. Berthier, O. Palmieri, P. Lylyk, R. Leiguarda in Neuroradiology (1982)