# Difference between revisions of "D09"

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==[[User:Tcheeseman1|Tim]]== | ==[[User:Tcheeseman1|Tim]]== | ||

+ | ===Projects:=== | ||

+ | :* [[Code Repository]] - Up and Running | ||

+ | :* Applet for [[Inversion|Point Inversion]] 2D and 3D | ||

+ | :* Applet for Shape Inversion (2D shapes about a circle and 3D polyhedra about a sphere to demonstrate creating [[Dual Polyhedron|Dual Polyhedrons]]) | ||

==[[User:Egoldberg1|Emily G.]]== | ==[[User:Egoldberg1|Emily G.]]== |

## Revision as of 12:38, 24 June 2009

*!*

**Welcome to the Drexel Summer 09 Entry to****To get started** go to the upper right of the page and click on ** "Log in/create account" ** with the username you've been sent. (If you have questions or complications, email **Keith**, kblaha1@swarthmore.edu).

As a first step, **click on "edit"** and at the top of this page [or wherever], put three tildas ("~") which will produce your username when you click the Save page button at the bottom. Do that so that you see your username in red--an unused page. Click on it and fill it in with a brief description about yourself--your interests and background, in particular.

**A Brief Tour of What's Been Done So Far:**

MIwiki is the original work wiki for the Math Image Project. At the top you'll find the username pages of the current students and faculty working on it. Other things that might be of interest:

- History and Goals, very brief
- Image Candidates, and Useful Image Sites, selected from an old database, in case you wish ideas for making an image page (they don't have to be restricted to these!)

Math Images is the draft homepage of the site--if you browse around it please click on the Discussion page and leave comments--we'll have to revise it soon (in fact, Maria's in the process of making some revisions).

swat09 is the Swarthmore student main entry site equivalent to this Drexel09. The Exhortations at the top may not be of great interest to you, but check out the student names in the Table of Contents. Keith, Maria, and Anna are a bit different but you'll see draft Math Image page names below the others. Some even have "Drexel" following them. You can look at any of the image pages, but are especially invited to check out those with the Drexel. Take a look to see what the Swarthmore students have been doing, and click on the discussion page and leave a comment! You should be looking for possible partners and also brainstorming ideas about possible applets, graphics, and animations to go with some of the pages folks have made.

**Getting Started:**

- make up your userpage, as described above, to get started using the wiki
- browse around, leaving comments on the Math Images discussion page and the Swarthmore student's discussion page, looking around for interesting possibilities for interaction on the latter
- look through the Helper Pages in the left navbar and the Hard Math page to see if you can find anything you'd like to work on--if there's anything you've struggled with that isn't there, add it!

**Math for Computer Graphics and Computer Vision:**

The Drexel group may also want to focus on the math used in computer graphics
and computer vision. Here are some examples.

- Vectors and matrices
- Transformations
- Quaternions
- Hierarchical coordinate systems
- Geometry

- Curves (Catmull-Rom, Bezier, B-spline)
- Bezier patches
- Subdivision surfaces
- Implicit geometry - lines, circles, ellipses
- Implicit surfaces - quadrics, superquadrics

- Surface normals
- Silhouette edges
- Procedural texture maps
- Ray-object intersection
- Perspective and parallel projection
- Edge detection
- Fourier analysis and convolution

More examples may be found in the lecture slides of CS 430.

**Resources:**
Flash/ActionScript Tutorials

## Contents

** Check out the Drexel-Swat Partnering page to see who's paired up with whom and keep track of what they're working on... **

## Tim

### Projects:

- Code Repository - Up and Running
- Applet for Point Inversion 2D and 3D
- Applet for Shape Inversion (2D shapes about a circle and 3D polyhedra about a sphere to demonstrate creating Dual Polyhedrons)

## Emily G.

### Projects:

- Pascal's Triangle-, with input from Lizah using Flash to visualize patterns
- Blue Wash- maybe work with Mike H. on this?
- Rhodonea (Cardioid, Rose Petals, Limacons, etc.)- interactive graphing

## Steve

## Ayush

I'm a Computer Science Freshman at Drexel University. This Summer term (Summer 09) is my first term working on the Math Images project.

### Work:

- Working with Josh and Alan to add interactivity in the pages previously created by Alan.

## Josh

I just completed my freshman year of Drexel, going for a BS in Computer Science

### Projects:

- Working with Ayush and Alan to add interactivity in the pages previously created by Alan.
- Working mainly with Java

## Mhershey1

- Blue Wash with Emily, applet changing
*k*(in**Inclined Recursive Method**) & animation drawing the basic no*k*method (in**Basic Recursive Method**) - Blue Fern, Henon Attractor, redo the animations with small points
- Hyperbolic Tilings, applet where users input Schläfli symbol to create a tiling
- Newton's Basin, redo the animation (maybe users input the equations)
- Logarithms, interactive quiz with exponential and logarithmic equations
- Harter-Heighway Dragon, animating the curve at each iteration stage

- Blue Wash with Emily, applet changing

## Matt

### Projects:

- Change of Coordinate Systems::An applet which allows for a visual representation of user defined points in 2-space and 3-space
- Gradients and Directional Derivatives::An applet or animation that displays the gradient at different points on a surface