How Can I Learn Seeding and Visualization Techniques for Vector Fields?

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SUMMARY

This discussion focuses on learning seeding strategies and visualization techniques for vector fields, specifically mentioning texture-based, geometry, and topological algorithms. Participants express the need for introductory resources that cover fundamental concepts before delving into advanced research papers. The book "Topology-Based Methods in Visualization" is noted, but users seek broader overviews. Professor Terence Tao's work is recommended for foundational mathematics, although it lacks specific visualization content.

PREREQUISITES
  • Understanding of vector fields and their properties
  • Familiarity with seeding strategies (texture-based, geometry, topological)
  • Knowledge of visualization techniques (streamlines, glyph-based, Line Integral Convolution)
  • Basic mathematical concepts related to smooth manifolds
NEXT STEPS
  • Research introductory texts on vector field visualization techniques
  • Explore online courses or tutorials on seeding algorithms for vector fields
  • Study the Line Integral Convolution method in detail
  • Investigate broader visualization methods beyond topology-based approaches
USEFUL FOR

This discussion is beneficial for computer graphics developers, data visualization specialists, and researchers interested in vector field analysis and visualization techniques.

Avatrin
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Summary:: Seeding and visualization techniques

Hi

I am looking for resources where I can learn the following:
  1. Seeding strategies and algorithms for vector fields (texture-based, geometry, topological)
  2. Different techniques for visualizing vector fields (streamlines, glyph-based, LIC etc)
 
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Avatrin said:
Summary:: Seeding and visualization techniques

Hi

I am looking for resources where I can learn the following:
  1. Seeding strategies and algorithms for vector fields (texture-based, geometry, topological)
  2. Different techniques for visualizing vector fields (streamlines, glyph-based, LIC etc)
Where have you already looked?
 
sysprog said:
Where have you already looked?
I downloaded the paper on Line Integral Convolution and also a few others, but I think a more introductory text might be helpful to grasp certain aspects since research papers assume more domain knowledge than what I currently have.

YouTube hasn't been helpful, since any search with the word "seed" in it returns videos about agriculture.

I found a book called "Topology-Based Methods in Visualization", but that seems too specific and I need more of an introductory overview with a broader overview of the field so that I can get started reading papers like the ones introduced in that book (and other non-topology-based methods).
 
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I suggest that you read some of the work of Professor Terence Tao -- he has material for beginners and goes on to super-advanced work in such topics as smooth manifolds and more : https://www.math.ucla.edu/~tao/
 
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sysprog said:
I suggest that you read some of the work of Professor Terence Tao -- he has material for beginners and goes on to super-advanced work in such topics as smooth manifolds and more : https://www.math.ucla.edu/~tao/
But, he doesn't really write about visualization, though... He seems to write entirely about pure mathematics and some physics.

That doesn't help me in learning specific techniques to visualize vector fields.
 

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