2019
DOI: 10.3389/fnana.2019.00018
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Optimization of Traced Neuron Skeleton Using Lasso-Based Model

Abstract: Reconstruction of neuronal morphology from images involves mainly the extraction of neuronal skeleton points. It is an indispensable step in the quantitative analysis of neurons. Due to the complex morphology of neurons, many widely used tracing methods have difficulties in accurately acquiring skeleton points near branch points or in structures with tortuosity. Here, we propose two models to solve these problems. One is based on an L1-norm minimization model, which can better identify tortuous structure, name… Show more

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Cited by 18 publications
(13 citation statements)
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“…Additionally, we used the curvature of neurites as a measure of neurite turning to further confirm the orientation of neurons derived from NSCs. When the morphology of neurites is tortuous, the curvature of the skeleton points is usually large, so smaller curvature represents more oriented neurites . The representative curvatures of neurites extend from NSCs cultured on TCPS, wing, and rGO/BDNF/GelMA-integrated wing in Figure e, thus further confirming the orientation of neurites along the wing’s nanoridges.…”
Section: Results and Discussionmentioning
confidence: 52%
“…Additionally, we used the curvature of neurites as a measure of neurite turning to further confirm the orientation of neurons derived from NSCs. When the morphology of neurites is tortuous, the curvature of the skeleton points is usually large, so smaller curvature represents more oriented neurites . The representative curvatures of neurites extend from NSCs cultured on TCPS, wing, and rGO/BDNF/GelMA-integrated wing in Figure e, thus further confirming the orientation of neurites along the wing’s nanoridges.…”
Section: Results and Discussionmentioning
confidence: 52%
“…Degeneracy is not a problem for the 1 − minimization which should be in or near the range ofỹ, it does not depend on i = D T i R T RD i , it's not singular in classical discriminant analysis. The stable version 1 − minimization (7) or (12) is called Lasso [10] in statistical literature. When the solution is sparse, it effectively standardizes the highly underdetermined linear regression.…”
Section: A Function Of Feature Extractionmentioning
confidence: 99%
“…and the researches maily focus on the following aspects: when the basic elements or signal are sparse enough, the sparse representation can be effectively calculated by convex optimization [6], although commonly it may be very difficult. In order to solve such problems, the coefficients in linear combination are dealt with in paper [6] and [10], instead of solving the problem of number of non-zero coefficients(i.e., 0 − norm). The initial purpose of sparse representation algorithm is not to identify or classify, but to make the representation and compression of signal have a lower sampling rate than Shannon-Nyquist.…”
Section: Introductionmentioning
confidence: 99%
“…The curvature of the specific intermediate point has a nonzero value and corresponds to the tortuous structure. When neuronal morphology includes the tortuous structures, the curvature of the skeleton points is large . Therefore, smaller values of curvature indicate more aligned morphology of the neurites.…”
mentioning
confidence: 99%
“…When neuronal morphology includes the tortuous structures, the curvature of the skeleton points is large. 40 Therefore, smaller values of curvature indicate more aligned morphology of the neurites. Ten representative neurite curvatures were presented in Figure 3C.…”
mentioning
confidence: 99%