Browsing by Author "Mumford, David"
Now showing items 1-20 of 47
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The 2.1-D Sketch
Nitzberg, Mark; Mumford, David Bryant (IEEE Computer Society Press, 1990)A model is described for image segmentation that tries to capture the low-level depth reconstruction exhibited in early human vision, giving an important role to edge terminations. The problem is to find a decomposition ... -
2D-Shape Analysis Using Conformal Mapping
Sharon, E.; Mumford, David Bryant (Springer Verlag, 2006)The study of 2D shapes and their similarities is a central problem in the field of vision. It arises in particular from the task of classifying and recognizing objects from their observed silhouette. Defining natural ... -
An Algebraic Surface with \(K\) ample, \((K^2)= 9, p_g = q = 0\)
Mumford, David Bryant (Johns Hopkins University Press, 1979) -
A Bayesian Treatment of the Stereo Correspondence Problem Using Half-Occluded Regions
Belhumeur, Peter N.; Mumford, David Bryant (IEEE Computer Society Press, 1992)A half-occluded region in a stereo pair is a set of pixels in one image representing points in space visible to that camera or eye only, and not to the other. These occur typically as parts of the background immediately ... -
The Canonical Ring of an Algebraic Surface
Mumford, David Bryant (1962) -
Deformations and Liftings of Finite, Commutative Group Scheme
Oort, Frans; Mumford, David Bryant (Springer Verlag, 1968) -
An Elementary Theorem in Geometric Invariant Theory
Mumford, David Bryant (American Mathematical Society, 1961) -
Empirical Statistics and Stochastic Models for Visual Signals
Mumford, David Bryant (Massachusetts Institute of Technology Press, 2006) -
Enriques' Classification of Surfaces in Char. p, III
Bombieri, E.; Mumford, David Bryant (Springer Verlag, 1976) -
Filters, Random Fields and Maximum Entropy (FRAME): Towards a Unified Theory for Texture Modeling
Zhu, Song Chun; Wu, Yingnian; Mumford, David Bryant (Springer Verlag, 1998)This article presents a statistical theory for texture modeling. This theory combines filtering theory and Markov random field modeling through the maximum entropy principle, and interprets and clarifies many previous ... -
Further Pathologies in Algebraic Geometry
Mumford, David Bryant (Johns Hopkins University Press, 1962) -
GRADE: Gibbs Reaction and Diffusion Equations
Zhu, Song Chun; Mumford, David Bryant (Narosa, 1998)Recently there have been increasing interests in using nonlinear PDEs for applications in computer vision and image processing. In this paper, we propose a general statistical framework for designing a new class of PDEs. ... -
Hierarchical Bayesian Inference in the Visual Cortex
Lee, Tai Sing; Mumford, David Bryant (Optical Society of America, 2003)Traditional views of visual processing suggest that early visual neurons in areas V1 and V2 are static spatiotemporal filters that extract local features from a visual scene. The extracted information is then channeled ... -
Hirzebruch's Proportionality Theorem in the Non-Compact Case
Mumford, David Bryant (Springer Verlag, 1977) -
The Irreducibility of the Space of Curves of Given Genus
Deligne, Pierre; Mumford, David Bryant (Springer Verlag, 1969) -
Learning Generic Prior Models for Visual Computation
Zhu, Song Chun; Mumford, David Bryant (Institute of Electrical and Electronics Engineers, 1997)This paper presents a novel theory for learning generic prior models from a set of observed natural images based on a minimax entropy theory that the authors studied in modeling textures. We start by studying the statistics ... -
Modeling and Decoding Motor Cortical Activity Using a Switching Kalman Filter
Wu, Wei; Black, Michael J.; Mumford, David Bryant; Gao, Yun; Bienenstock, Elie; Donoghue, John P. (Institute of Electrical and Electronics Engineers, 2004)We present a switching Kalman filter model for the real-time inference of hand kinematics from a population of motor cortical neurons. Firing rates are modeled as a Gaussian mixture where the mean of each Gaussian component ... -
The Nonlinear Statistics of High-Contrast Patches in Natural Images
Lee, Ann B.; Pedersen, Kim S.; Mumford, David Bryant (Springer Verlag, 2003)Recently, there has been a great deal of interest in modeling the non-Gaussian structures of natural images. However, despite the many advances in the direction of sparse coding and multi-resolution analysis, the full ... -
A Note of Shimura's Paper “Discontinuous Groups and Abelian Varieties”
Mumford, David Bryant (Springer Verlag, 1969) -
Occlusion Models for Natural Images: A Statistical Study of a Scale-Invariant Dead Leaves Model
Lee, Ann B.; Mumford, David Bryant; Huang, Jinggang (Springer Verlag, 2001)We develop a scale-invariant version of Matheron's “dead leaves model” for the statistics of natural images. The model takes occlusions into account and resembles the image formation process by randomly adding independent ...