Giessen University Dept. of Psychology

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Giessen University Dept. of Psychology Robust contour extraction and junction detection by a neural model utilizing recurrent long-range interactions Thorsten Hansen and Heiko Neumann Giessen University Dept. of Psychology Ulm University Dept. of Neural Information Processing

Overview of the Talk Motivation: empirical evidence for recurrent long-range interactions 2. Approach and Model 3. Results: Contour enhancement Corner detection 4. Conclusions

Sketch of V1 Architecture long-range connections McGuire et al. 1991 LGN recurrent intercolumnar interactions

Specificity of Horizontal Long-Range Connections in V1 Bosking et al. 1997 ”like connects to like” plus colinear arrangement Long-range connections link neurons with same orientation preference and collinear aligned RFs.

Functional Implications of Lateral Long-Range Interactions Polat & Sagi (1993) Measurement of contrast detection thresholds for foveal Gabor elements with and without flankers. Colinear flanking Gabors (up to a distance of 10 wavelengths) facilitate contrast detection.

Key Mechanisms of the Proposed Model Excitatory long-range interactions between cells with collinear aligned RF (Bosking et al. 1997) Inhibitory short-range interactions Modulating feedback: Initial bottom-up activity is necessary (Hirsch & Gilbert 1991)

Model architecture

Recurrent Interaction modulating feedback divisive inhibition inhibition in both spatial and orientational domain excitatory long-range interaction

Results: Contour Enhancement input image complex cells long-range Activity that fits into a more global context is enhanced by top-down feedback.

Results: Temporal Evolution input image complex cells long-range t=1 t =2 t=12

Quantitative Evaluation: Contur Saliency High saliency: large values of (r,z) discrete time steps saliency measures z r input image

Results: Natural Images input image complex cells long-range

Simulation: Physiological Data Kapadia et al. 1995 Simulation: Physiological Data response relative to single bar bar +flankers +texture +flankers+texture enhancement for collinear bar; suppression for noisy textures

Properties of the Proposed Model input image complex cells long-range background: noise suppression corner: preservation of multiple orientations edge: enhancement of coherent structures

Definition of Corners and Junctions Corners and junctions are points where two or more lines join or intersect (from Adelson 2000)

Junctions for Object Recognition (Biederman 1987)

Junctions and Brightness Perception Adelson (2000)

Junction Detection in Natural Images Junctions often cannot be detected locally (McDermott 2001): 13 pixel closeup 13 25 49 97 pixels

Neural Representation of Junctions distributed activity for multiple orientations within a cortical hypercolumn 1. Robust generation of coherent contours model of recurrent long-range interactions in V1 Approach: 2. Read-out of distributed information measure of circular variance

Read-out of Distributed Information Orientation significance: Length of the resulting orientation vector in relation to the overall activity high significance low significance orientation significance circular variance Batschelet 1981: Circular Statistics

Corner and Junction Detection Corner candidates: high circular variance and high overall activity: Corner points: sufficiently large local maxima of corner candidates

Results: Localization Accuracy deviation from true location V1 long-range model feedforward complex cells generic junction configurations

Junction Detection on a Synthetic Image Attneave‘s cat complex cells long-range

Junction Detection on Natural Images Real world camera image complex cells long-range

Junction Detection on Natural Images cut-out of a plant image Van Hateren & van der Schaaf 1998 input image complex cells long-range

Evaluation using ROC Analysis Comparison of the new scheme to standard methods based on Gaussian curvature and the structure tensor (black) input image

Conclusions corners and junctions can be robustly represented by distributed activity within a cortical hypercolum recurrent colinear long-range interactions serve as a multi-purpose mechanism for contour enhancement noise suppression junction detection Hansen & Neumann (2004) Neural Computation 16(5).