Scilab emphasizes, that the Linux world is rich with Technical / Scientific Computing platforms…

In my previous posting, I listed several (Open-Source) platforms for Computing, available under Linux at no cost, which have emphasis on Technical and Scientific applications. These platforms differ from conventional programming languages, in that conventional languages mainly specialize in allowing applications to be built, that perform a highly specialized function, while technically oriented platforms allow a user to define Math problems to be solved, to do so, and then to define a whole new Math problem to be solved…

My previous posting had also hinted that, when it comes to Computing tools of this kind, I prefer ‘the lean and mean approach’, in which the learning of specialized scripting languages would be kept to a minimum, but where, through his or her own resourcefulness, the User / Scientist knows how to apply Math, to solve their problem…

Yet, solutions do exist which go entirely in a different direction, and I’d say that “Scilab” is one of them. Under Debian Linux, one usually installs it as a collection of packages, from standard repositories, using the package manager.

Scilab is an application – and a workbench – with a rich GUI. It combines many features. But again, If somebody wanted to use it for real problem-solving, what would really count is, to learn its scripting language (which I have not done). Yet, Scilab typically comes with many Demos that tend to work reliably out-of-the-box, so that, even without knowing the scripting language, users can treat themselves to some amount of eye-candy, just by clicking on those….

 

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As I’ve stated repeatedly, sometimes I cannot gauge whether certain Scientific Computing platforms are really worth their Salt – especially since in this case, they won’t cost much more than a household quantity of salt does. ;-)  But, if the reader finds that he or she needs a powerful GUI, then maybe, Scilab would be the choice for them?

 

Dirk

 

Particle-Based Fluids

One of the subjects which captured my imagination several years ago, when this subject started to hit professionally-authored CGI content – movies – was how fluids could be emulated graphically. And the state of the art is such, that particle-based fluids can be rendered on high-end, consumer graphics cards, where the particles’ motion is defined by density, pressure, and resistance to compression.

Sadly, I still see no place where consumer devices can simulated fluids as volumes yet – and do so in real-time.

But once the software has been set up to compute the positions of swarms of particles, which collectively define a fluid, a logical question which the power-user will ask is, ‘Now what? A surface of water reflects and refracts light, depending on its normal-vectors, but particles lack any normal-vectors.’

And the answer for what to do next is, to render the particles based on deferred rendering. In other words it’s still alright if the particles are point-sprites, as long as the Fragment Shader renders a depth-map of these individual entities. That depth-map will correspond to the map, which is produced with deferred rendering, and subject to post-processing.

What needs to happen next, is that this depth-map needs to be smoothed, in a way that leaves no holes in the fluid, but which also leaves surfaces at a tangent to the virtual camera-position, where the edge of the virtual fluid is supposed to exist. This means that a special smoothing function is needed, that weights the distance of individual particles, according to a spherical function:

K = SQRT( Radius^2 – X^2 – Y^2 )

Z’ = Z – K

And then, the normal-vector can be computed from the resulting, modified depth-map. This normal-vector can be used to reflect and/or refract an environment-map, but in the case of refraction, the density of the virtual fluid must also be computed realistically, since most real fluids are not perfectly transparent. This could be done using alpha-blending.

Now, there is an extension to this approach, that uses ‘Surfels‘…

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