A5038428777- Morphological variations and asymmetry
- Topological and Geometric Data Analysis
- Image Retrieval and Classification Techniques
- Medical Image Segmentation Techniques
- Face and Expression Recognition
- Homotopy and Cohomology in Algebraic Topology
- Image Processing and 3D Reconstruction
- 3D Shape Modeling and Analysis
- Blind Source Separation Techniques
- Neural Networks and Applications
- Advanced Neuroimaging Techniques and Applications
- Gene expression and cancer classification
- Cell Image Analysis Techniques
- Advanced Vision and Imaging
- Advanced Image and Video Retrieval Techniques
- Geometric and Algebraic Topology
- Leaf Properties and Growth Measurement
- Bat Biology and Ecology Studies
- Bioinformatics and Genomic Networks
- Genetic and phenotypic traits in livestock
- Machine Learning and Data Classification
- Metabolomics and Mass Spectrometry Studies
- Sparse and Compressive Sensing Techniques
- Animal Vocal Communication and Behavior
- Developmental Biology and Gene Regulation
Florida State University
2014-2024
John Brown University
2004
Cornell University
1993
Instituto Nacional de Matemática Pura e Aplicada
1987
Using a differential-geometric treatment of planar shapes, we present tools for: 1) hierarchical clustering imaged objects according to the shapes their boundaries, 2) learning probability models for clusters and 3) testing newly observed under competing models. Clustering at any level hierarchy is performed using mimimum variance type criterion Markov process. Statistical means provide be clustered next higher level, thus building shapes. finite-dimensional approximations spaces tangent...
For analyzing shapes of planar, closed curves, we propose differential geometric representations curves using their direction functions and curvature functions. Shapes are represented as elements infinite-dimensional spaces pairwise differences quantified the lengths geodesics connecting them on these spaces. We use a Fourier basis to represent tangents shape then gradient-based shooting method solve for tangent that connects any two via geodesic. Using Surrey fish database, demonstrate some...
The human face is a complex assemblage of highly variable yet clearly heritable anatomic structures that together make each us unique, distinguishable, and recognizable. Relatively little known about the genetic underpinnings normal facial variation. To address this, we carried out large genomewide association study two independent replication studies Bantu African children adolescents from Mwanza, Tanzania, region both genetically environmentally relatively homogeneous. We tested for shape...
Taxonomic identification of pollen and spores uses inherently qualitative descriptions morphology. Consequently, identifications are restricted to categories that can be reliably classified by multiple analysts, resulting in the coarse taxonomic resolution spore record. Grass represents an archetypal example; it is not routinely identified below family level. To address this issue, we developed quantitative morphometric methods characterize surface ornamentation classify grass grains. This...
Abstract The Drosophila egg chamber, whose development is divided into 14 stages, a well-established model for developmental biology. However, visual stage determination can be tedious, subjective and time-consuming task prone to errors. Our study presents an objective, reliable repeatable automated method quantifying cell features classifying chamber stages based on DAPI images. proposed approach composed of two steps: 1) feature extraction step 2) statistical modeling step. used are size,...
The human face is an array of variable physical features that together make each us unique and distinguishable. Striking familial facial similarities underscore a genetic component, but little known the genes underlie shape differences. Numerous studies have estimated heritability using various methods. Here, we used advanced three-dimensional imaging technology quantitative genetics analysis to estimate narrow-sense heritability, explained by common variation, pairwise correlations 38...
Efforts to understand the genetic and environmental conditioning of plant morphology are hindered by lack flexible effective tools for quantifying morphology. Here, we demonstrate that persistent-homology-based topological methods can improve measurement variation in leaf shape, serrations, root architecture. We apply these 2D images leaves systems field-grown plants a domesticated introgression line population tomato (Solanum pennellii). find compared with some commonly used conventional...
We construct examples of nonresolvable generalized n-manifolds, n ≥ 6, with arbitrary resolution obstruction, homotopy equivalent to any simply connected, closed n-manifold.We further investigate the structure manifolds and present a program for understanding their topology.
How developmental mechanisms generate the phenotypic variation that is raw material for evolution largely unknown. Here, we explore whether in a conserved signaling axis between brain and face contributes to differences morphogenesis of avian upper jaw. In amniotes, including both mice avians, signals from establish center ectoderm (the Frontonasal ectodermal zone or "FEZ") directs outgrowth facial primordia.Here show spatial organization this differs among these correspond Sonic hedgehog...
Automated phenotyping is essential for the creation of large, highly standardized datasets from anatomical imaging data. Such can support large-scale studies complex traits or clinical related to precision medicine trials. We have developed a method that generates three-dimensional landmark data meet requirements standard geometric morphometric analyses. The robust and be implemented without high-performance computing resources. validated using both direct comparison manual landmarking on...
Vegetation in dryland ecosystems often forms remarkable spatial patterns. These range from regular bands of vegetation alternating with bare ground, to vegetated spots and labyrinths, gaps ground within an otherwise continuous expanse vegetation. It has been suggested that spotted patterns could indicate collapse into a state is imminent, the morphology patterns, therefore, represents potentially valuable source information on proximity regime shifts ecosystems. In this paper, we have...
We develop a new framework for the quantitative analysis of shapes planar curves. Shapes are modeled on elastic strings that can be bent, stretched or compressed at different rates along curve. treated as elements space obtained quotient an infinite-dimensional Riemannian manifold curves by action reparameterization group. The metric encodes properties string and has property reparameterizations act isometrics. geodesies in shape used to quantify dissimilarities, interpolate extrapolate...
An n -dimensional m -component link is an oriented smooth submanifold Σ of S +2 , where the ordered disjoint union submanifolds each homeomorphic to . a boundary if there V +1 such that ∂ i = ( 1,…, ). A pair (Σ, ), and as above, with connected called special Seifert In this paper, we define notion cobordism pairs give algebraic description set (group) classes.
We develop a computational model of shape that extends existing Riemannian models curves to multidimensional objects general topological type. construct spaces equipped with geodesic metrics measure how costly it is interpolate two shapes through elastic deformations. The employs representation based on the discrete exterior derivative parametrizations over finite simplicial complex. algorithms calculate geodesics and distances, as well tools quantify local similarities contrasts, thus...
Journal Article Spatial Sampling for Image Segmentation Get access Mariano Rivera, Rivera * 1Centro de Investigacion en Matematicas A.C, Guanajuato GTO 36000, Mexico *Corresponding author: mrivera@cimat.mx Search other works by this author on: Oxford Academic Google Scholar Oscar Dalmau, Dalmau Washington Mio, Mio 2Florida State University, Tallahassee, FL 32306, USA Alonso Ramirez-Manzanares 3Departamento Matematicas, Universidad Guanajuato, The Computer Journal, Volume 55, Issue 3, March...