Parameterizing Surfaces and Computing Surface Normal Vectors

In this video we discuss parameterizing a surface. We use two approaches, a simple approach which models a surface using a level surface as well as a robust parameterization using two independent variables. We show how both formulations can be used to compute normal vectors to the surface at any given point on the surface. Topics and timestamps: 0:00 – Introduction 2:12 – Parameterizing simple surfaces 5:22 – Gradient as surface normal 16:45 – Parameterizing complex surfaces 26:57 – Surface normal for complex surfaces Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All Calculus videos in a single playlist (   • Calculus  ) #Calculus You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!