Elastic shape analysis of surfaces with second-order sobolev metrics: a comprehensive numerical framework
This paper introduces a set of numerical methods for Riemannian shape analysis of 3D
surfaces within the setting of invariant (elastic) second-order Sobolev metrics. More …
surfaces within the setting of invariant (elastic) second-order Sobolev metrics. More …
Statistical Analysis of Quantitative Cancer Imaging Data
Recent advances in types and extant of medical imaging technologies has led to
proliferation of multimodal quantitative imaging data in cancer. Quantitative medical imaging …
proliferation of multimodal quantitative imaging data in cancer. Quantitative medical imaging …
Quantifying T2-FLAIR mismatch using geographically weighted regression and predicting molecular status in lower-grade gliomas
S Mohammed, V Ravikumar… - American Journal …, 2022 - Am Soc Neuroradiology
BACKGROUND AND PURPOSE: The T2-FLAIR mismatch sign is a validated imaging sign
of isocitrate dehydrogenase–mutant 1p/19q noncodeleted gliomas. It is identified by …
of isocitrate dehydrogenase–mutant 1p/19q noncodeleted gliomas. It is identified by …
Density-based classification in diabetic retinopathy through thickness of retinal layers from optical coherence tomography
Diabetic retinopathy (DR) is a severe retinal disorder that can lead to vision loss, however,
its underlying mechanism has not been fully understood. Previous studies have taken …
its underlying mechanism has not been fully understood. Previous studies have taken …
GaWRDenMap: a quantitative framework to study the local variation in cell–cell interactions in pancreatic disease subtypes
Spatial pattern modelling concepts are being increasingly used in capturing disease
heterogeneity. Quantification of heterogeneity in the tumor microenvironment is extremely …
heterogeneity. Quantification of heterogeneity in the tumor microenvironment is extremely …
The square root normal field distance and unbalanced optimal transport
This paper explores a novel connection between two areas: shape analysis of surfaces and
unbalanced optimal transport. Specifically, we characterize the square root normal field …
unbalanced optimal transport. Specifically, we characterize the square root normal field …
Classifying organisms and artefacts by their outline shapes
A Salili-James, A Mackay… - Journal of the …, 2022 - royalsocietypublishing.org
We often wish to classify objects by their shapes. Indeed, the study of shapes is an important
part of many scientific fields, such as evolutionary biology, structural biology, image …
part of many scientific fields, such as evolutionary biology, structural biology, image …
Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric
The square root normal field (SRNF) framework is a method in the area of shape analysis
that defines a (pseudo) distance between unparametrized surfaces. For piecewise linear …
that defines a (pseudo) distance between unparametrized surfaces. For piecewise linear …
Methods of Shape Analysis: Optimal Transport, Geometric Measure Theory, and Deep Learning
E Hartman - 2024 - search.proquest.com
In this dissertation, we address the development of mathematical frameworks for
computationally feasible methods to compare and analyze large datasets of complex shape …
computationally feasible methods to compare and analyze large datasets of complex shape …
[PDF][PDF] Santhoshi Navaneetha Krishnan
A Patel - 2023 - repository.rice.edu
Cancer is the 2nd most common leading cause of death in the United States as of 2021, with
10 million deaths reported worldwide [4, 5]. Cancer is not a singular disease in itself; …
10 million deaths reported worldwide [4, 5]. Cancer is not a singular disease in itself; …