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The Midpoint Hierarchy and Dynamics on a de Casteljau Bezier Polygon - Algebraic Calculus and dCB Curves 10

Offered By: Insights into Mathematics via YouTube

Tags

Bezier Curves Courses Calculus Courses Discrete Mathematics Courses Computer Graphics Courses Mathematical Modeling Courses Computational Geometry Courses

Course Description

Overview

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Explore the midpoint hierarchy and dynamics of de Casteljau Bezier curves in this 37-minute video lecture. Delve into the significance of t=1/2 for de Casteljau Bezier curves and examine the hierarchy of secondary points used to construct the locus at this value, using a quartic (degree four) curve as an example. Discover the concept of discrete particle motion on de Casteljau Bezier control points, including velocity, acceleration, jerk, and snap - higher analogs of differences/derivatives for a discrete trajectory. Gain insights into advanced mathematical concepts while focusing on concrete calculations and computational reality.

Syllabus

The midpoint hierarchy and dynamics on a de Casteljau Bezier polygon | Alg Calc and dCB Curves 10


Taught by

Insights into Mathematics

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