Three‐dimensional mapping of cortical thickness using Laplace's Equation

By Stephen E. Jones, Bradley R. Buchbinder, Itzhak Aharon. Human Brain Mapping, 2000

524 citations recorded by the source corpus.

Subfields: Cognitive Neuroscience, Radiology, Nuclear Medicine and Imaging

View Paper: https://www.semanticscholar.org/paper/094f328a9f8c6128a96712673fa44f84b0f6b64d

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In Cognitive Neuroscience

In Radiology, Nuclear Medicine and Imaging

Citations in the corpus

Cortical thickness analysis in autism with heat kernel smoothing (2005, methodology): “2), for example, the minimum Euclidean distance method of Fischl and Dale (2000), the Laplace equation method of Jones et al. (2000), Bayesian construction of Miller et al. (2000) and the automatic linkage method of MacDonald et al. (2000).”
Focal decline of cortical thickness in Alzheimer's disease identified by computational neuroanatomy. (2004, methodology): “The ﬁrst measures thickness on a voxel by voxel level, and is illustrated by two papers solving a partial differential equation across the cortex (Jones et al. , 2000; Yezzi and Prince, 2003).”
A review on neuroimaging‐based classification studies and associated feature extraction methods for Alzheimer's disease and its prodromal stages (2017, unknown): “…brain images are registered to certain standardized stereotaxic spaces (Fischl et al., 1999), and cortical maps/features are computed (Fischl and Dale, 2000; Jones et al., 2000; MacDonald et al., 2000) and tessellated into various regions using existing atlas templates (Desikan et al., 2006).”
Large-scale evaluation of ANTs and FreeSurfer cortical thickness measurements (2014, methodology): “For example, one recent evaluation study (Clarkson et al., 2011) compared FreeSurfer (a surface-basedmethod)with twovolumetric methods, viz., Das et al. (2009) and Jones et al. (2000).”
A review on automatic fetal and neonatal brain MRI segmentation (2017, unknown): “(2009), they extended the model by combining the atlas priors with laminar priors, depth-based priors estimated using the Laplace's equation (Jones et al., 2000).”
Gender difference analysis of cortical thickness in healthy young adults with surface-based methods (2006, methodology): “Previous studies evaluated the precision of several algorithms (Fischl and Dale, 2000; Jones et al., 2000; MacDonald et al., 2000) and suggested that tlink is the simplest and most precise method (Lerch and Evans, 2005).”
Longitudinal Mapping of Cortical Thickness and Brain Growth in Normal Children (2004, unknown): “Although various other approaches have been used (Fischl and Dale, 2000; Jones et al., 2000; Miller et al., 2000; Kabani et al., 2001), our approach seemed a natural and intuitive measure given that it defines thickness on the inner surface as the distance from the inner surface to the closest…”
A fully automatic and robust brain MRI tissue classification method (2003, background): “, 1998, 2002), cortical thickness measurements (Fischl and Dale, 2000; Jones et al., 2000; MacDonald et al., 2000), morphological analysis (e.”
Laminar analysis of 7 T BOLD using an imposed spatial activation pattern in human V1 (2010, unknown): “Another method that has been proposed for predicting the cortical laminar morphology from the boundary surfaces calculates solutions to the Laplace equation–or, alternatively, repeatedly applies the corresponding Green's function, the heat kernel–by placing boundary conditions on the graymatter and ”
Cortical thickness and central surface estimation (2013, methodology): “Methods without sulcal modeling will tend to overestimate thickness in blurred regions (Jones et al., 2000; Lohmann et al., 2003) or must concentrate exclusively on non-blurred gyral regions (Sowell et al.”
The human inferior parietal cortex: Cytoarchitectonic parcellation and interindividual variability (2006, methodology): “We then extracted GLI profiles using a physical model based on electric field lines extending between the outer and inner contour line (Jones et al., 2000).”
Anatomically motivated modeling of cortical laminae (2014, background): “Cortical profiles may then be constructed along the gradient of this stratification (Jones et al., 2000).”
Cortical thickness analysis examined through power analysis and a population simulation (2005, unknown): “The last method is t laplace , first published in Jones et al. (2000) and reimplemented locally.”
Automated 3-D extraction and evaluation of the inner and outer cortical surfaces using a Laplacian map and partial volume effect classification (2005, methodology): “The Laplacian approach is similar to a method presented by Jones (Jones et al., 2000) to estimate cortical thickness, but differs in that it is performed in voxel space and is used for surface expansion.”