论文标题
poggendorff-type视觉幻觉的皮质启发的亚里曼尼亚模型
A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions
论文作者
论文摘要
我们考虑了Wilson-Cowan型模型，用于依赖于Poggendorff的数学描述。我们的建模改善了两种先前提出的皮质启发的方法，将亚riemannian热核嵌入神经元相互作用项中，与基于局部和侧向连接的本质上各向异性功能架构一致。对于两个模型的数值实现，我们考虑了标准的梯度下降算法，结合了基于傅立叶的方法，用于有效地计算亚拉皮亚进化。我们的数值结果表明，与先前的方法相比，使用亚右边核的使用允许以更强的方式重现数值视觉误解和内式型偏差。
We consider Wilson-Cowan-type models for the mathematical description of orientation-dependent Poggendorff-like illusions. Our modelling improves two previously proposed cortical-inspired approaches embedding the sub-Riemannian heat kernel into the neuronal interaction term, in agreement with the intrinsically anisotropic functional architecture of V1 based on both local and lateral connections. For the numerical realisation of both models, we consider standard gradient descent algorithms combined with Fourier-based approaches for the efficient computation of the sub-Laplacian evolution. Our numerical results show that the use of the sub-Riemannian kernel allows to reproduce numerically visual misperceptions and inpainting-type biases in a stronger way in comparison with the previous approaches.
