LAUSR

Testing Hubel and Wiesel's "ice-cube" model of functional maps at cellular resolution in macaque V1.

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0 Published in 2024 at "Cerebral cortex"

DOI: 10.1093/cercor/bhae471

Abstract: Hubel and Wiesel's ice-cube model proposed that V1 orientation and ocular dominance functional maps intersect orthogonally to optimize wiring efficiency. Here, we revisited this model and additional arrangements at both cellular and pixel levels in… read more here.

Keywords: orientation; wiesel ice; functional maps; ocular dominance ... See more keywords

On the Stability of Functional Maps and Shape Difference Operators

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1 Published in 2018 at "Computer Graphics Forum"

DOI: 10.1111/cgf.13238

Abstract: In this paper, we provide stability guarantees for two frameworks that are based on the notion of functional maps—the framework of shape difference operators and the one of analyzing and visualizing the deformations between shapes.… read more here.

Keywords: functional maps; shape difference; difference operators; stability functional ... See more keywords

A parametric analysis of discrete Hamiltonian functional maps

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1 Published in 2020 at "Computer Graphics Forum"

DOI: 10.1111/cgf.14072

Abstract: In this paper we develop an in‐depth theoretical investigation of the discrete Hamiltonian eigenbasis, which remains quite unexplored in the geometry processing community. This choice is supported by the fact that Dirichlet eigenfunctions can be… read more here.

Keywords: functional maps; analysis discrete; discrete hamiltonian; hamiltonian functional ... See more keywords

Complex Functional Maps: A Conformal Link Between Tangent Bundles

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3 Published in 2022 at "Computer Graphics Forum"

DOI: 10.1111/cgf.14437

Abstract: In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness. More specifically,… read more here.

Keywords: functional maps; orientation; conformal link; tangent bundles ... See more keywords

Multiscale Spectral Manifold Wavelet Regularizer for Unsupervised Deep Functional Maps

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0 Published in 2024 at "Computer Graphics Forum"

DOI: 10.1111/cgf.15230

Abstract: In deep functional maps, the regularizer computing the functional map is especially crucial for ensuring the global consistency of the computed pointwise map. As the regularizers integrated into deep learning should be differentiable, it is… read more here.

Keywords: multiscale spectral; functional maps; deep functional; regularizer ... See more keywords