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  1. No Access

    Chapter and Conference Paper

    Ergodic Algorithms on Special Euclidean Groups for ATR

    This paper describes a technique for estimating motions of rigid targets based on the deformable template representations of complex scenes. The efficient modeling of representations for variabilities manifest...

    S. Srivastava, M. I. Miller… in Systems and Control in the Twenty-First Century (1997)

  2. No Access

    Chapter

    Model Critique and Conclusions

    The experiment has shown that the global shape model has enough descriptive power for the analysis of the real pictures we studied. For picture ensembles of the type studied the model will not need any essential ...

    U. Grenander, Y. Chow, D. M. Keenan in Hands (1991)

  3. No Access

    Book

    Hands

    A Pattern Theoretic Study of Biological Shapes

    U. Grenander, Y. Chow, D. M. Keenan in Research Notes in Neural Computing (1991)

  4. No Access

    Chapter

    Dealing with Highly Variable Patterns

    Is it possible to mechanize human intuitive understanding of biological pictures that typically exhibit a lot of variability but also possess characteristic structure?

    U. Grenander, Y. Chow, D. M. Keenan in Hands (1991)

  5. No Access

    Chapter

    Pattern Analysis

    The task of restoring a noisy image is facilitated by having models and algorithms already available for synthesis. When we developed the code it was both possible and convenient to use the same code for both ...

    U. Grenander, Y. Chow, D. M. Keenan in Hands (1991)

  6. No Access

    Chapter

    Pattern Analysis — Experiments

    The synthesis experiments have given us some insight in how the global shape models function and how they are influenced by their parameters. Synthesis experiments should not, of course, be considered as suffi...

    U. Grenander, Y. Chow, D. M. Keenan in Hands (1991)

  7. No Access

    Chapter

    Pattern Synthesis: Experiments

    We shall now apply the random shape model to hand pictures and start with simulation experiments. This will help us to get an intuitive understanding of the model and the prior measure it represents, what is t...

    U. Grenander, Y. Chow, D. M. Keenan in Hands (1991)

  8. No Access

    Chapter

    Pattern Synthesis

    The prior induced by the Gibbs density (1.6) cannot be simulated directly for a general acceptor function and for n-values of practical interest. We shall therefore apply stochastic relaxation that has earlier be...

    U. Grenander, Y. Chow, D. M. Keenan in Hands (1991)

  9. No Access

    Chapter and Conference Paper

    Abduction of Semantic Patterns

    In the study of regular structures the map**s between them play a central role, just as is the case in algebra in general. One there-fore examines homomorphisms, isomorphisms, and deformations between regula...

    U. Grenander in Pattern Formation by Dynamic Systems and Pattern Recognition (1979)

  10. No Access

    Book

    Pattern Analysis

    Lectures in Pattern Theory Volume II

    U. Grenander in Applied Mathematical Sciences (1978)

  11. No Access

    Chapter

    Introduction

    In this book we shall continue the mathematical study of regular structures begun in Volume I. With the help of the concepts of pattern synthesis introduced in the previous volume, we now turn to the inverse p...

    U. Grenander in Pattern Analysis (1978)

  12. No Access

    Chapter

    Point Patterns

    Let us consider lattice point patterns as described in Volume 1, Section 3.5, subject to deformations of the type jittered crystal, Volume 1, Section 4.2.

    U. Grenander in Pattern Analysis (1978)

  13. No Access

    Chapter

    Network Pattern Processors

    Imagine a hypothetical being — let us use the name Ω — living in an environment or microworld from which it receives sensory inputs. The pattern structure that Ω is confronted by is assumed unknown to start wi...

    U. Grenander in Pattern Analysis (1978)

  14. No Access

    Chapter

    Ends and Means in Pattern Analysis

    The basic concepts of pattern theory consist of objects and relations. The pattern objects are generators, configurations, pure and deformed images, pattern classes. The pattern relations are given in terms of si...

    U. Grenander in Pattern Analysis (1978)

  15. No Access

    Chapter

    Analysis of Certain Temporal Patterns

    Temporal patterns are defined through generators of contrast type: they can be given as functions on the real line and taking values in some contrast space. There are many sorts of temporal patterns where the ...

    U. Grenander in Pattern Analysis (1978)

  16. No Access

    Chapter

    Set Patterns and Statistical Geometry

    In this chapter the generators will be given as certain subsets of the background space X = R2 or R3 with similarity groups EG(2) - EG(3) or TRANS(2) - TRANS(3). Examples of combinatory rules ℛ suitable for set p...

    U. Grenander in Pattern Analysis (1978)

  17. No Access

    Chapter

    Pattern Processors for Language Abduction

    In Chapter 6, we studied a network 𝒩 that could modify itself in order to learn at least some of the patterns appearing in its environment. This was done by modifying the coupling coefficients of 𝒩, i.e. by chang...

    U. Grenander in Pattern Analysis (1978)

  18. No Access

    Chapter

    Analysis of Abstract Patterns

    In Sections 2.1 – 2.3 we shall treat (linear) sequence images with abstract symbols. The configurations need not have linear connection type, however, and we shall study what happens when different deformation...

    U. Grenander in Pattern Analysis (1978)