Multidimensional Scaling

Design:

Specification `Apr 18-May 27` 6 weeks
1. Determine algorithm(s) to aquire 3D data.
2. Determine interface requriments.
3. Determine output requriments.
4. Begin studying DirectX

Design `May 30-July 1` 5 weeks
1. Design objects needed from requirments.
2. Create wiki pages containing objcets, methods, members and algorithms.

Implementaiton `July 5-Jul 29` 4 weeks
1. Implement objects.
2. Build the interface.
3. Testing

Testing `Aug 01-Aug 12` 2 weeks
1. Test to ensure complete, correct product.

Timeline modifications
1. 2 weeks added to spec on 2005-05-23
2. 1 weeks removed from design on 2005-05-23
3. 1 weeks removed from testing on 2005-05-23

(huiming)
1. 1 weeks added to design on 2005-06-17
2. 1 weeks removed from implementation on 2005-06-17

(huiming 2005-07-10)
1. Since the algorithm wouldn't be implemented, testing time merged into implementation.
2. Testing 2 weeks removed

The Basic Concept of Multidimensional Scaling

The following is the basic explanation of Multidimensional Scaling-- the 3D graph.

Multidimensional scaling (MDS) allows you to visualize how near points are to each other for many kinds of distance or dissimilarity measures and can produce a representation of your data in a small number of dimensions. MDS does not require raw data, but only a matrix of pairwise distances or dissimilarities.

MDS takes as an input a matrix of interpoint distances and creates a configuration of points by some mathematical matrix manipulation. Ideally, those points are in two or three dimensions, and the Euclidean distances between them reproduce the original distance matrix. Thus, a scatter plot of the points created by MDS provides a visual representation of the original distances. See the attachment below.

Design

C# OpenGL: http://csgl.sourceforge.net/

An example: http://www.exocortex.org/3dengine/

Direct3D: http://www.drunkenhyena.com/docs/d3d_tutorial.php

Topic attachments
I Attachment Action Size Date Who Comment
doc InstructionsofMulti.doc manage 20.0 K 17 Aug 2005 - 15:21 HuimingLi a simple user manual
pdf pavis.pdf manage 3160.2 K 20 May 2005 - 16:19 ShuoChen The Multidimensional scaling method research
Topic revision: r13 - 17 Aug 2005, HuimingLi

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