The Line Segment Transform and Sequential Hypothesis Testing in Dolphin Echolocation

The primary visual cortex in cats and monkeys is organized into columns, each of which responds to a line segment with a particular orientation from a specific part of the visual field (Hubel and Wiesel, 1962). The cortex “decomposes the visual world (for each part of the visual field) into short line segments of various orientations” (Kandel, 1985). This representation seems to correspond to a line segment transform in which images are represented by a weighted sum of basis functions composed of shifted, rotated line segments. An invertible version of such a transform can be defined, and the inversion process that reconstructs an image from line segments can be used as a model for visual information processing.

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