Sign in to follow this  

Reading material for filtering theory, specifically anisotropic

This topic is 4355 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Recommended Posts

I'm interested in reading about the theory behind anisotropic filtering -- who came up with it, why the need for it arose, et cetera. I've tried going back to the research, but I couldn't come up with any kind of seminal paper. It may have been one of those evolutionary concepts that was refined over several years/publications. That's where I need the help of people more knowledgeable than myself. I'm not interested in a particular implementation, although code I can use is fine; I'm more interested in the mathematics behind it and the proof that it's correct. If someone could point me in the right direction, I'd be much obliged. I have access to most scholarly journals, so it's not a problem if the papers aren't publicly available. Thanks!

Share this post


Link to post
Share on other sites
Whenever the original paper was published, and by who, it's bound to be somewhere in SIGGRAPH proceedings. I'd estimate late 70s or early 80s, but I could be way off. It wouldn't surprise me if someone at Pixar came up with it during the development of RenderMan. You might want to look into heavily cited papers on texture mapping in general: you never know, maybe the term 'anisotropic filtering' only came about long after it was invented.

~phil

Share this post


Link to post
Share on other sites
Paul Heckbert's thesis, "Fundamentals of Texture Mapping and Image Warping" might be a good start, it's available at http://www.cs.cmu.edu/~ph/. It goes through the mathematics of aliasing, and covers the Elliptical Weighted Average filter. It also has a lot of references to earlier literature on texture mapping.

Share this post


Link to post
Share on other sites
Perona and Malik were the first guys to do this (AFAIK). I just copied this bib ref:

P. Perona, J. Malik, "Scale-space and edge detection using anisotropic diffusion", PAMI 12(7), pp. 629-639, 1990.

The guys are electrical engineers, so the maths could look somewhat strange for a PDE guy (what I suppose you are if you're interested in the maths). The proof is quite difficult. Unfortunately, I don't know a paper about a correct mathematical proof.

You might also be interested in this.

Lutz

Share this post


Link to post
Share on other sites
Anisotropic diffusion is not the same thing as anisotropic texture filtering. The former takes an image and uses local properties to adaptively blur it. The latter takes a mapping from texture space into screen space, computes a pixel footprint and attempts to approximate the integral over that footprint.

Share this post


Link to post
Share on other sites

This topic is 4355 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this