Category Archives: Intuitive Mathematics

Talks about intuitive concepts in mathematics.

Intuitive Mathematics PDF Manual

In trying to come up with better methods of organizing and presenting concepts related to Intuitive Mathematics, nothing seems to work better than using LaTeX. Therefore, the latest PDF manual (generated with LaTeX) will always be available for download here. Certain chapters from the Intuitive Mathematics manual will also be presented in these blog pages....

View full post »

Histogram Equalization

What exactly is histogram equalization and how can we think of it from an intuitive point of view, rather than the more abstract, mathematical point of view? A somewhat detailed technical point of view is given on the Wiki Page. Still, I believe there are some mathematical concepts, which I believe can be explained more...

View full post »

Principal Components and Spin Images

Principal Components and Spin Images are two important concepts used heavily in 2D and 3D image processing. Without going into too much detail, here is the intuitive understanding behind the two concepts. Figure 1: Best fitting ellipsoid (solid line) and worst fitting ellipsoid (dotted line) for a set of 2D vectors. First, principal components are...

View full post »

Dynamic Range And Images

What is dynamic range and why is it important in imagery? Dynamic range is a measurement of the ability to record large and small changes simultaneously. When an image has high dynamic range, it means that the image has the ability to display both small and large changes. To keep the discussion simple and clear,...

View full post »

Real and Complex Numbers

In an earlier post we introduced the concepts of: real numbers, complex numbers, vectors and matrices. Let’s spend a little more time on the real and complex numbers. A real number tells us which way to go (left or right) and by how much, starting from zero, along the line of real numbers. A negative...

View full post »