Browsing by Author "Mumford, David"
Now showing items 21-40 of 47
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On the Computational Architecture of the Neocortex I: The Role of the Thalamo-Cortical Loop
Mumford, David Bryant (Springer Verlag, 1991)This paper proposes that each area of the cortex carries on its calculations with the active participation of a nucleus in the thalamus with which it is reciprocally and topographically connected. Each cortical area is ... -
On the Computational Architecture of the Neocortex II: The Role of Cortico-Cortical Loops
Mumford, David Bryant (Springer Verlag, 1992)This paper is a sequel to an earlier paper which proposed an active role for the thalamus, integrating multiple hypotheses formed in the cortex via the thalamo-cortical loop. In this paper, I put forward a hypothesis on ... -
On the Equations Defining Abelian Varieties. I
Mumford, David Bryant (Springer Verlag, 1966) -
On the Equations Defining Abelian Varieties. II
Mumford, David Bryant (Springer Verlag, 1967) -
On the Equations Defining Abelian Varieties. III
Mumford, David Bryant (Springer Verlag, 1967) -
On the Kodaira Dimension of the Moduli Space of Curves
Harris, Joe; Mumford, David Bryant (Springer Verlag, 1982) -
Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems
Mumford, David Bryant; Shah, Jayant (Wiley-Blackwell, 1989) -
An Overview of the Riemannian Metrics on Spaces of Curves Using the Hamiltonian Approach
Michor, Peter W.; Mumford, David Bryant (Elsevier, 2007)Here shape space is either the manifold of simple closed smooth unparameterized curves in View the MathML source or is the orbifold of immersions from S1 to View the MathML source modulo the group of diffeomorphisms of S1. ... -
Pathologies III
Mumford, David Bryant (Johns Hopkins University Press, 1967) -
Pathologies IV
Mumford, David Bryant (Johns Hopkins University Press, 1975) -
Pathologies of Modular Algebraic Surfaces
Mumford, David Bryant (Johns Hopkins University Press, 1961) -
Periods of a Moduli Space of Bundles on Curves
Mumford, David Bryant; Newstead, P. (Johns Hopkins University Press, 1968) -
Prior Learning and Gibbs Reaction-Diffusion
Zhu, Song Chun; Mumford, David Bryant (Institute of Electrical and Electronics Engineers, 1997)This article addresses two important themes in early visual computation: it presents a novel theory for learning the universal statistics of natural images, and, it proposes a general framework of designing reaction-diffusion ... -
A Remark on Mahler's Compactness Theorem
Mumford, David Bryant (American Mathematical Society, 1971)We prove that if G is a semisimple Lie group without compact factors, then for all open sets U⊂G containing the unipotent elements of G and for all C>0, the set of discrete subgroups Γ⊂G such that (a) Γ∩U={e}, (b) G/Γ ... -
A Remark on Mordell's Conjecture
Mumford, David Bryant (Johns Hopkins University Press, 1965) -
Remembering Raoul Bott (1923–2005)
Tu, Loring W.; Gurdian, Rodolfo; Smale, Stephen; Mumford, David Bryant; Jaffe, Arthur Michael; Yau, Shing-Tung (American Mathematical Society (AMS), 2013) -
Riemannian Geometries on Spaces of Plane Curves
Michor, Peter W.; Mumford, David Bryant (European Mathematical Society, 2006)We study some Riemannian metrics on the space of regular smooth curves in the plane, viewed as the orbit space of maps from the circle to the plane modulo the group of diffeomorphisms of the circle, acting as reparameterizations. ... -
The Role of the Primary Visual Cortex in Higher Level Vision
Lee, Tai Sing; Mumford, David Bryant; Romero, Richard; Lamme, Victor A.F. (Elsevier, 1998)In the classical feed-forward, modular view of visual processing, the primary visual cortex (area V1) is a module that serves to extract local features such as edges and bars. Representation and recognition of objects are ... -
Statistics of Natural Images and Models
Huang, Jinggang; Mumford, David Bryant (IEEE Computer Society Press, 1999)Large calibrated datasets of `random' natural images have recently become available. These make possible precise and intensive statistical studies of the local nature of images. We report results ranging from the simplest ... -
Statistics of Range Images
Huang, Jinggang; Lee, Ann B.; Mumford, David Bryant (Institute of Electrical and Electronics Engineers, 2000)The statistics of range images from natural environments is a largely unexplored field of research. It closely relates to the statistical modeling of the scene geometry in natural environments, and the modeling of optical ...