A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-03-15 DOI:10.1016/j.difgeo.2024.102125

R. Fioresi , A. Marraffa , J. Petkovic

引用次数: 0

Abstract

We present a review of known models and a new simple mathematical modelling for border completion in the visual cortex V1 highlighting the striking analogies with bicycle rear wheel motions in the plane.

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通过子黎曼哈密顿形式主义，以自行车后轮大地路径为视皮层边界完成的新视角

我们回顾了已知的模型，并介绍了视觉皮层 V1 中边界完成的新的简单数学模型，强调了与自行车后轮在平面上运动的惊人相似性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.