Computing Archives - Geometric Algebra Explorer

February 20, 2017

Visualizing Scientific Insights

The area of Scientific Visualization (SciViz) is an interdisciplinary branch of science. According to Friendly, it is “primarily concerned with the visualization of three-dimensional phenomena (architectural, meteorological, medical, biological, etc.), where the emphasis is on realistic renderings of volumes, surfaces, illumination sources, and so forth, perhaps with a dynamic (time) component”. It is also considered a subset of computer graphics, a branch of computer science. The purpose of scientific visualization is to graphically illustrate scientific data to enable scientists to understand, illustrate, and glean insight from their data.
In this post, I interview Dr. Werner Benger who describes his views on SciViz using Geometric Algebra and provides valuable insights about the use of SciViz in Big Data applications.

GA Applications / GA Computing / GA Software / Interview

January 17, 2017

Geometric Algebra in Computer Science

One of the most important fields of application for Geometric algebra can be found in Computer Science. In this post, I interview 3 key researchers who apply Geometric Algebra in their work to share their valuable experience and insights. Their applied research spans many applications in computer science including Computer Graphics, Robotics, Computer Vision, Image Processing, Neural Computing, and more.

DSL

September 11, 2015

Computing: Please, Mind Your Language!

Computing is done by programming computers, programming requires programming languages, and programming languages come in many forms and flavors. The creative process of software development, in general, is certainly related to language, thought, and imagination. For geometric modeling and geometric processing applications, the correct selection of a programming language is absolutely fundamental.

GA History

August 14, 2015

A Functional History of Numbers (3 of 3)

There are 3 kinds of science: the experimental, the theoretical, and the simulated. The third kind of scientific activity only appeared recently, about 75 years ago, when the first electronic computers were made; effectively creating the “human computational universe” and upgrading our scientific methods to a whole new level. The idea of this third kind of science is to computationally and visually investigate our theoretical mathematical models encoded as computer programs executed on various sets of inputs to get new patterns, ideas, and “virtual” discoveries that can be verified experimentally later or at least may provide grounds for new abstractions, theories, and practical applications. This third kind of science, the science and art of computer simulations, is now unavoidable in all scientific research and education activities. All this is made possible by using only the two numbers 1 and 0; a.k.a True and False.
After our journey with classic numbers in part one and geometric numbers in part two, in this final part of our functional history of numbers, we will take a look at a third kind of numbers: the computational numbers.

GA History

August 7, 2015

A Functional History of Numbers (2 of 3)

In part one of this functional history of numbers we saw the development of various number systems we are mostly familiar with. In this part, we will see the development of many number systems that are important for our modern scientific needs, geometrically and computationally. The sad fact about these developments is that we are using and teaching less effective number systems today because of a “series of unfortunate events” that took place during the grand drama of human development of modern mathematics.

Geometric Algebra

July 3, 2015

The Abstract

I’ve been dealing with mathematical abstractions most of my life, as a student then as a software engineer and faculty member, on various levels and forms. My experience is like trying to find a safe path in a big forest of data and ideas that keep on growing and changing each day.

Tagged: Computing