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pro vyhledávání: '"Ulf Grenander"'
Autor:
Ulf Grenander
This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method il
Autor:
Ulf Grenander, Michael I. Miller
Pattern Theory: From Representation to Inference provides a comprehensive and accessible overview of the modern challenges in signal, data and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision. Aime
Publikováno v:
Quarterly of Applied Mathematics. 69:227-260
In computational anatomy large deformations of anatomical structures observed in images are represented by diffeomorphic flows on the background space of coordinates. They are usually maximum a posteriori (MAP) estimates obtained by minimization of t
Autor:
Ulf Grenander
Publikováno v:
Quarterly of Applied Mathematics. 65:205-257
Publikováno v:
IEEE Transactions on Medical Imaging. 26:648-659
Mathematical and statistical modeling of biological growth is an important problem in medical diagnostics. Here, we seek tools to analyze changes in anatomical parts using images collected over time. We introduce a structured model, called Growth by
Publikováno v:
IEEE Transactions on Pattern Analysis and Machine Intelligence. 24:1200-1214
Seeking probability models for images, we employ a spectral approach where the images are decomposed using bandpass filters and probability models are imposed on the filter outputs (also called spectral components). We employ a (two-parameter) family
Publikováno v:
Journal of Statistical Planning and Inference. 103:15-37
In the problem of recognizing targets from their observed images, the estimation of target orientations, as elements of the rotation group SO(3), plays an important role. For k-objects the unknown parameter is an element of SO(3) k . Since k may be u
Autor:
Anuj Srivastava, Ulf Grenander
Publikováno v:
IEEE Transactions on Pattern Analysis and Machine Intelligence. 23:424-429
We propose a framework for modeling clutter in natural images. Assuming that: 1) images are made up of 2D (projected) views of 3D (real) objects and 2) certain simplifying conditions hold, we derive an analytical density for natural images. This expr
Publikováno v:
IEEE Transactions on Information Theory. 46:1658-1665
This article investigates the asymptotic performance of Bayesian target recognition algorithms using deformable-template representations. Rigid computer-aided design (CAD) models represent the underlying targets; low-dimensional matrix Lie-groups (ro
Publikováno v:
IEEE Transactions on Pattern Analysis and Machine Intelligence. 22:337-347
Asymptotic approximations to the partition function of Gaussian random fields are derived. Textures are characterized via Gaussian random fields induced by stochastic difference equations determined by finitely supported, stationary, linear differenc