Toggle Navigation

Open the Navigation Management window, which can be used to view the full current branch of the menu tree, and edit it.

CONNECT
DonateEMail

Abstracts and reports

Image Picker for Section 0
Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

Modeling spatial dependence of rods and cones in the retina

​​​​​​

Daniel Anderson, George Mason University​

The human retina is a thin, light-sensitive tissue at the back of the eye whose role is to convert light into electrochemical signals that get sent to the brain via the optic nerve; for healthy eyes, the result is visual recognition. For our purposes we shall think of the retina as composed of two types of photoreceptors -- rods and cones -- as well as an underlying retinal pigment epithelium (RPE). For humans, as well as primates such as Rhesus Monkeys, the rod and cone spatial distribution along the retina has been measured and differ significantly between these two photoreceptor populations. Also, recent data has shown how the photoreceptors outer segment (OS) length varies along the retina. Data for quantities such as RPE density and the thickness of the retina as a whole also exist. Recent mathematical models have begun to give predictions for the spatial dependence of photoreceptor OS thickness. The goal of this modeling project is to investigate these ideas and develop new models and solutions that may allow the incorporation of additional details such as RPE density and/or retinal thickness into photoreceptor OS length predictions. Opportunities for modeling using ordinary and partial differential equations, asymptotic approximation, and computation are likely part of this project. ​

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

The Image Deblurring Problem: Matrices, Wavelets, and Multilevel Methods

​​Malena Espanol, Arizona State University​

In today's visually-centric world, the demand for high-quality images is ever-increasing, whether it is for medical imaging, surveillance, or digital photography. However, the process of capturing images is inherently prone to blurring due to various factors, such as motion during capture or imperfections in optical systems. The image deblurring problem lies at the heart of restoring these blurred images to their sharp, clear originals, presenting an exciting challenge for mathematicians. In this project, we will leverage tools and concepts from linear algebra, statistics, and optimization to produce new, efficient, and accurate algorithms. Furthermore, we will explore the use of wavelets and multilevel methods to speed up the process of restoring images.​​

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

TBA

Christopher Raymond, University of Delaware​

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.



Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Image Rendition

Change the way the image is cropped for this page layout.

Media Size

Cycle through size options for this image or video.

Original
50%
66%
100%
Fixed Portrait 1
Fixed Portrait 2
Cancel
Media Right/Left-Align

Align the media panel to the right/left in this section.

Insert Image

Open the image pane in this body section. Click in the image pane to select an image from the image library.

Insert Video

Open the video pane in this body section. Click in the video pane to embed a video. Click ? for step-by-step instructions.

Remove Image

Remove the image from the media panel. This does not delete the image from the library.

Remove Video

Remove the video from the media panel.

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Media Right/Left-Align

Align the media panel to the right/left in this section.

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Media Right/Left-Align

Align the media panel to the right/left in this section.

Move Up

Move this whole section up, swapping places with the section above it.

Move Down

Move this whole section down, swapping places with the section below it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Media Right/Left-Align

Align the media panel to the right/left in this section.

Move Up

Move this whole section up, swapping places with the section above it.

Code Cleaner

Check for and fix problems in the body text. Text pasted in from other sources may contain malformed HTML which the code cleaner will remove.

Accordion is OFF

Accordion feature turned off, click to turn on.

Accordion is ON

Accordion featurd turned on, click to turn off.

Media Right/Left-Align

Align the media panel to the right/left in this section.

Page Settings and MetaData:
(Not Shown on the Page)
Page Settings
Abstracts and Reports
No
MetaData for Search Engine Optimization
Abstracts and reports