An invitation to the Euler characteristic transform
E Munch - The American Mathematical Monthly, 2025 - Taylor & Francis
The Euler characteristic transform (ECT) is a simple to define yet powerful representation of
shape. The idea is to encode an embedded shape by tracking how the Euler characteristic …
shape. The idea is to encode an embedded shape by tracking how the Euler characteristic …
Topological data analysis reveals a core gene expression backbone that defines form and function across flowering plants
Since they emerged approximately 125 million years ago, flowering plants have evolved to
dominate the terrestrial landscape and survive in the most inhospitable environments on …
dominate the terrestrial landscape and survive in the most inhospitable environments on …
Detecting temporal shape changes with the euler characteristic transform
Organoids are multi-cellular structures that are cultured in vitro from stem cells to resemble
specific organs (eg, brain, liver) in their three-dimensional composition. Dynamic changes in …
specific organs (eg, brain, liver) in their three-dimensional composition. Dynamic changes in …
[HTML][HTML] Modern phenomics to empower holistic crop science, agronomy, and breeding research
Crop phenomics enables collection of diverse plant traits for a large number of samples
along different time scales, representing a greater data collection throughput compared to …
along different time scales, representing a greater data collection throughput compared to …
The extended persistent homology transform of manifolds with boundary
A shortcoming of persistent homology is that when two domains have different numbers of
components or holes the persistence diagrams of any filtration will have an infinite distance …
components or holes the persistence diagrams of any filtration will have an infinite distance …
Topological data analysis expands the genotype to phenotype map for 3D maize root system architecture
A central goal of biology is to understand how genetic variation produces phenotypic
variation, which has been described as a genotype to phenotype (G to P) map. The plant …
variation, which has been described as a genotype to phenotype (G to P) map. The plant …
Allometry and volumes in a nutshell: Analyzing walnut morphology using three‐dimensional X‐ray computed tomography
EJ Amézquita, MY Quigley, PJ Brown… - The Plant Phenome …, 2024 - Wiley Online Library
Persian walnuts (Juglans regia L.) are the second most produced and consumed tree nut,
with over 2.6 million metric tons produced in the 2022–2023 harvest cycle alone. The United …
with over 2.6 million metric tons produced in the 2022–2023 harvest cycle alone. The United …
A fast and scalable computational topology framework for the Euler characteristic
The Euler characteristic (EC) is a powerful topological descriptor that can be used to quantify
the shape of data objects that are represented as fields/manifolds. Fast methods for …
the shape of data objects that are represented as fields/manifolds. Fast methods for …
The shape and volume of air, kernels and cracks, in a nutshell
Walnuts are the second most produced and consumed tree nut, with over 2.6 million metric
tons produced in the 2022-23 harvest cycle alone. The United States is the second largest …
tons produced in the 2022-23 harvest cycle alone. The United States is the second largest …
The topological shape of gene expression across the evolution of flowering plants
Since they emerged~ 125 million years ago, flowering plants have evolved to dominate the
terrestrial landscape and survive in the most inhospitable environments on earth. At their …
terrestrial landscape and survive in the most inhospitable environments on earth. At their …