Open Access
1 November 2004 Nonlinear anisotropic diffusion filtering of three-dimensional image data from two-photon microscopy
Philip Julian Broser, Roland Schulte, Arnd Roth, Fritjof Helmchen, Jack Waters, S. Lang, Bert Julian Sakmann, Gabriel Wittum
Author Affiliations +
Abstract
Two-photon microscopy in combination with novel fluorescent labeling techniques enables imaging of three-dimensional neuronal morphologies in intact brain tissue. In principle it is now possible to automatically reconstruct the dendritic branching patterns of neurons from 3-D fluorescence image stacks. In practice however, the signal-to-noise ratio can be low, in particular in the case of thin dendrites or axons imaged relatively deep in the tissue. Here we present a nonlinear anisotropic diffusion filter that enhances the signal-to-noise ratio while preserving the original dimensions of the structural elements. The key idea is to use structural information in the raw data—the local moments of inertia—to locally control the strength and direction of diffusion filtering. A cylindrical dendrite, for example, is effectively smoothed only parallel to its longitudinal axis, not perpendicular to it. This is demonstrated for artificial data as well as for in vivo two-photon microscopic data from pyramidal neurons of rat neocortex. In both cases noise is averaged out along the dendrites, leading to bridging of apparent gaps, while dendritic diameters are not affected. The filter is a valuable general tool for smoothing cellular processes and is well suited for preparing data for subsequent image segmentation and neuron reconstruction.
©(2004) Society of Photo-Optical Instrumentation Engineers (SPIE)
Philip Julian Broser, Roland Schulte, Arnd Roth, Fritjof Helmchen, Jack Waters, S. Lang, Bert Julian Sakmann, and Gabriel Wittum "Nonlinear anisotropic diffusion filtering of three-dimensional image data from two-photon microscopy," Journal of Biomedical Optics 9(6), (1 November 2004). https://doi.org/10.1117/1.1806832
Published: 1 November 2004
Lens.org Logo
CITATIONS
Cited by 54 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Anisotropic filtering

Anisotropic diffusion

Nonlinear filtering

Dendrites

Diffusion

Image filtering

Neurons

Back to Top