Bezier Curves

About this Video

Bezier Curves – A tool we use everywhere, in programs from Photoshop to Blender. They allow us to build smooth, yet highly customizable curves by simply manipulating some handles! In this video, we delve deeper into the math that makes Bezier Curves tick!

Key Learning Points

  • What Bezier Curves look like, and how to interact with them
  • Basic Math behind Bezier Curves
  • The Order of a Bezier Curve
  • Linking curve segments together
  • C1 Continuity for Smooth Curves

Sampling, Aliasing & Nyquist Theorem

About this Video

The world of computers is digital in nature, but the quantities around us are analog! We’ll have to perform analog-to-digital conversion to effectively store, manipulate, and transmit analog information.

Sampling – The act of taking readings of analog information at intervals, is the strategy in which this can be achieved, but sampling comes with its own set of considerations. For example, how often should we sample?

This sample rate should be well chosen to prevent aliasing – Getting poor results from sampling too infrequently. Thankfully, we can make use of the Nyquist-Shannon Sampling Theorem, which tells us what sample rate to use to prevent aliasing from happening!

Key Learning Points

  • What is Sampling and the meaning of Sampling Rate
  • What is Aliasing
  • The Nyquist-Shannon Sampling Theorem
  • Application of the Nyquist-Shannon Sampling Theorem

Resources

Use the NERDfirst Nyquist Theorem Simulator to try it for yourself! See how a sampled signal is reconstructed as you adjust the sampling rate and signal frequency.