{"slug": "tensor-based-brain-surface-modeling-and-analysis", "title": "Tensor-based Brain Surface Modeling and Analysis", "summary": "Researchers present a unified computational approach to tensor-based morphometry that detects brain surface shape differences between clinical groups from magnetic resonance images, combining surface modeling, smoothing, and statistical analysis. The method, illustrated on longitudinal child brain images, localizes cortical regions of gray matter growth and loss by computing local surface area and curvature differences, enhanced with Laplace-Beltrami operator-based diffusion smoothing.", "body_md": "arXiv:2609.03302v1 Announce Type: new\nAbstract: We present a unified computational approach to tensor-based morphometry in detecting the brain surface shape differences between two clinical groups based on magnetic resonance images. Our approach is novel in a sense that we combined surface modeling, surface data smoothing and statistical analysis in a coherent unified mathematical framework. The cerebral cortex has the topology of a 2D highly convoluted sheet. Between two different clinical groups, the local surface area and curvature of the cortex may differ. It is highly likely that such surface shape differences are not uniform over the whole cortex. By computing how such surface metrics differ, the regions of the most rapid structural differences can be localized. To increase the signal to noise ratio, diffusion smoothing based on the explicit estimation of Laplace-Beltrami operator has been developed and applied to the surface metrics. As an illustration, we demonstrate how this new tensor-based surface morphometry can be applied in localizing the cortical regions of the gray matter tissue growth and loss in the brain images longitudinally collected in the group of children.", "url": "https://wpnews.pro/news/tensor-based-brain-surface-modeling-and-analysis", "canonical_source": "https://arxiv.org/abs/2609.03302", "published_at": "2026-09-04 04:00:00+00:00", "updated_at": "2026-09-04 04:24:43.215983+00:00", "lang": "en", "topics": ["machine-learning", "computer-vision"], "entities": [], "alternates": {"html": "https://wpnews.pro/news/tensor-based-brain-surface-modeling-and-analysis", "markdown": "https://wpnews.pro/news/tensor-based-brain-surface-modeling-and-analysis.md", "text": "https://wpnews.pro/news/tensor-based-brain-surface-modeling-and-analysis.txt", "jsonld": "https://wpnews.pro/news/tensor-based-brain-surface-modeling-and-analysis.jsonld"}}