# Computation in the higher visual cortices: map-seeking circuit theory and application to machine vision

@article{Arathorn2004ComputationIT, title={Computation in the higher visual cortices: map-seeking circuit theory and application to machine vision}, author={David Arathorn}, journal={33rd Applied Imagery Pattern Recognition Workshop (AIPR'04)}, year={2004}, pages={73-78} }

Map-seeking circuit theory is a biologically based computational theory of vision applicable to difficult machine vision problems such as recognition of 3D objects in arbitrary poses amid distractors and clutter, as well as to non-recognition problems such as terrain interpretation. It provides a general computational mechanism for tractable discovery of correspondences in massive transformation spaces by exploiting an ordering property of superpositions. The latter allows a set of…

## 17 Citations

Analysis of Constrained Optimization Variants of the Map-Seeking Circuit Algorithm

- Computer ScienceJournal of Mathematical Imaging and Vision
- 2007

Several numerical schemes to compute local solutions are presented and compared on a pair of test problems: an image matching problem and the challenging problem of automatically solving a Rubik’s cube.

Convergence of Map Seeking Circuits

- Mathematics, Computer ScienceJournal of Mathematical Imaging and Vision
- 2007

This algorithm is formulated as discrete dynamical system on a set Δ=Πℓ=1LΔ(�), where each Δ(�¬) is a compact subset of a nonnegative orthant of ℝn, and it is shown that for an open and dense set of initial conditions in Δ the corresponding solutions converge to either a vector with unique nonzero element in each Δ (™) or to a zero vector.

Perception as an Inference Problem

- Computer Science
- 2013

Why inferential computations are necessary for perception, and how they go beyond traditional computational approaches based on deductive processes such as feature detection and classification are described.

Detection and recognition of 3D targets in panchromatic gray scale imagery using a biologically-inspired algorithm

- Computer Science2009 IEEE Applied Imagery Pattern Recognition Workshop (AIPR 2009)
- 2009

This work introduces a detection stage followed by the spawning of multiple MSC processes in parallel to classify and determine the pose of the detection candidates and increases the speed of detection and allows efficient classification when multiple targets are present in the same image.

CASSIE: contextual analysis for spectral and spatial information extraction

- Computer Science, EngineeringDefense + Commercial Sensing
- 2009

The research with CASSIE investigates the effectiveness of generated probability maps to reflect a human interpretation, potential benefits in terms of accuracy and processing speed for subsequent target detection, and methods for incorporating feedback from target detection algorithms to apply additional contextual constraints.

Terrain discovery and navigation of a multi-articulated linear robot using map-seeking circuits

- Engineering, GeographySPIE Defense + Commercial Sensing
- 2006

A significant challenge in robotics is providing a robot with the ability to sense its environment and then autonomously move while accommodating obstacles. The DARPA Grand Challenge, one of the most…

Questions Unanswered , and Questions Not Yet

- 2013

J.M. Bower (ed.), 20 Years of Computational Neuroscience, Springer Series in Computational Neuroscience 9, DOI 10.1007/978-1-4614-1424-7_12, © Springer Science+Business Media New York 2013 Abstract I…

20 Years of Learning About Vision: Questions Answered, Questions Unanswered, and Questions Not Yet Asked

- 2013

I have been asked to review the progress that computational neuroscience has made over the past 20 years in understanding how vision works. In reflecting on this question, I come to the conclusion…

The application of simulated annealing to a map seeking circuit

- Mathematics, Computer Science2009 IEEE International Conference on Systems, Man and Cybernetics
- 2009

Under these conditions, simulated annealing is shown to improve the performance of the MSC through a series of experiments involving the Hausdorff distance metric.

Instance-Based Object Recognition with Simultaneous Pose Estimation Using Keypoint Maps and Neural Dynamics

- Computer ScienceICANN
- 2014

A computationally efficient model of V1 keypoints is used to select object parts with the highest information content and model their surroundings using simple colour features and is fed into a dynamical neural network which performs pose, scale and translation estimation of the object given a set of previously observed object views.

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A Solution to the Generalized Correspondence Problem Using an Ordering Property of Superpositions, submitted 2004. 3D model of T-80 and WW-2 tank courtesy 3DCafe

- com Proceedings of the 33rd Applied Imagery Pattern Recognition Workshop (AIPR'04)