Trinh @ Bath

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trinh [Further references]
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 **Prerequisites:** No strict pre-requisites, but students who took CM30075 (Advanced Computer Graphics) should definitely inquire.  **Prerequisites:** No strict pre-requisites, but students who took CM30075 (Advanced Computer Graphics) should definitely inquire. 
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 +==== Further references ====
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 +//I'm using this space to add further references when I encounter them. They may give you a better idea of the mathematics involved.//
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 +  - [[https://books.google.co.uk/books?id=eYZCAAAAQBAJ&lpg=PR3&dq=A%20Topological%20Picturebook&pg=PR3#v=onepage&q=A%20Topological%20Picturebook&f=false|A topological picturebook by George Francis]]: an actual book about how to sketch topological surfaces written by a mathematician. 
 +  - [[https://www.maa.org/press/maa-reviews/visual-complex-analysis|Visual Complex Analysis]]: Tristan Needham's famous book which gave a visual twist to complex variables. Apparently he has been working on a new book on differential geometry that is set to be published later this year.
 +  - [[https://mathoverflow.net/questions/31879/are-there-other-nice-math-books-close-to-the-style-of-tristan-needham|A discussion on MathOverflow]] about books similar to Needham's. It is worth looking at David Hilbert's 1952 book referenced in that discussion for many beautiful images. 
 +  - [[http://vis.cs.brown.edu/docs/pdf/Healey-2001-NRS.pdf|Nonphotorealistic rendering in scientific visualisation]]: a lot of interesting articles in this compilation from SIGGRAPH 2001. 
 +  - [[https://www-users.cs.umn.edu/~interran/|Victoria Interrante]] has many interesting articles on her website and works at the intersection of science and visualisation. Might be worth having a quick look at some of the preliminary chapters of her [[https://www-users.cs.umn.edu/~interran/dissn/|1996 thesis]]. Perhaps find a copy of her article [[https://www.sciencedirect.com/science/article/pii/B9780123875822500423?via%3Dihub|Art and Science in Visualization]]
 +  - [[https://cs.nyu.edu/media/publications/hertzmann_aaron.pdf|NYU PhD 2001 thesis by Aaron Hertzmann]] on Algorithms for rendering in artistic styles; the Chapter 5 notes inspiration from A Topological Picturebook and is of interest.
 +  - [[https://www.mdpi.com/2218-6581/8/1/10|Work by Scalera et al.]]: looks to be a simple cross-hatching algorithm applied to rasterised images.
 +  - [[https://dl.acm.org/doi/10.1145/237170.237287|Rendering parametric surfaces in pen and ink]]: 1996 paper; this looks really excellent starting point. They discuss the differential geometry required. 
 +  - [[https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1467-8659.2004.00773.x|Another paper]] that was part of the Refs [33-35] from the Italian work by Scalera et al. above. Another good reference.
  
  
Last modified: 2020/04/10 07:02