Splines (mathematics)

Control point (mathematics)

In computer-aided geometric design a control point is a member of a set of points used to determine the shape of a spline curve or, more generally, a surface or higher-dimensional object. For Bézier curves, it has become customary to refer to the -vectors in a parametric representation of a curve or surface in -space as control points, while the scalar-valued functions , defined over the relevant parameter domain, are the corresponding weight or blending functions. Some would reasonably insist, in order to give intuitive geometric meaning to the word "control", that the blending functions form a partition of unity, i.e., that the are nonnegative and sum to one. This property implies that the curve lies within the convex hull of its control points. This is the case for Bézier's representation of a polynomial curve as well as for the B-spline representation of a spline curve or surface. (Wikipedia).

Video thumbnail

How to find and classify critical points of functions

Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to calculate and classify the critical points of functions of two variables. The ideas involve first and second order derivatives and are seen in university mathematics.

From playlist Mathematics for Finance & Actuarial Studies 2

Video thumbnail

Calculus 2.1b - Intro to Limits

continued from the previous video. An introduction to the chapter on Limits.

From playlist Calculus Chapter 2: Limits (Complete chapter)

Video thumbnail

How to find + classify critical points of functions

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to calculate and classify the critical points of functions of two variables. The ideas involve first and second order derivatives and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

Video thumbnail

Calculus 2.2a - A Graphical Look at Limits

An explanation of the concept of a limit, by looking at the graph of a function.

From playlist Calculus Chapter 2: Limits (Complete chapter)

Video thumbnail

How to find critical points of functions

Download the free PDF from http://tinyurl.com/EngMathYT This is an example illustrating how to find and classify the critical points of functions of two variables. Such ideas rely on the second derivative test and are seen in university mathematics.

From playlist Mathematics for Finance & Actuarial Studies 2

Video thumbnail

Beginners Guide to Critical Points in Calculus - Chris Tisdell Live Stream

A beginner's guide to critical points of functions in mathematics using calculus. Here we look at the basic ideas including a few examples.

From playlist Calculus for Beginners

Video thumbnail

Limit doesn't exist 2 variables example

Example of how to show a limit doesn't exist for a function of 2 variables.

From playlist Engineering Mathematics

Video thumbnail

Finding critical points of functions

Download the free PDF http://tinyurl.com/EngMathYT This is an example illustrating how to find and classify the critical points of functions of two variables. Such ideas rely on the second derivative test and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

Video thumbnail

Deep Differential System Stability - Learning advanced computations from examples (Paper Explained)

Determining the stability properties of differential systems is a challenging task that involves very advanced symbolic and numeric mathematical manipulations. This paper shows that given enough training data, a simple language model with no underlying knowledge of mathematics can learn to

From playlist Papers Explained

Video thumbnail

Michael Herty: "Novel Control Concepts for Heterogenous Systems"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "Novel Control Concepts for Heterogenous Systems" Michael Herty - RWTH Aachen University Institute for Pure and Applied Mathematics, UCLA December 2, 2020 For more

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Benedetto Piccoli: "Social dynamics, control of large groups and vehicular traffic"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "Social dynamics, control of large groups and vehicular traffic" Benedetto Piccoli - Rutgers University Abstract: We revise come recent approach to model social dyn

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Toward the Robots of Science Fiction - A. Ames - 12/6/2017

"Toward the Robots of Science Fiction, " by Aaron D. Ames, Bren Professor of Mechanical and Civil Engineering and Control and Dynamical Systems, Caltech Science fiction has long promised a world of robotic possibilities: from humanoid robots in our everyday lives, to wearable robotic devi

From playlist Research & Science

Video thumbnail

Ruzena Bajcsy: "History of Modeling Driving and Drivers Using Control Theory and Safety"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "History of Modeling Driving and Drivers Using Control Theory and Safety" Ruzena Bajcsy - University of California, Berkeley (UC Berkeley), CITRIS

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Stabilizing Biological Populations: The Experimental Biologist’s Perspective by Sutirth Dey

DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore

From playlist Mathematical and statistical explorations in disease modelling and public health

Video thumbnail

Control of fluid motion by Mythily Ramaswamy

Program : Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

Video thumbnail

Calculus: Graphical Limits

In this video, we investigate how to compute limits of a function that is given graphically.

From playlist Calculus

Video thumbnail

Optimal control of spin systems with applications in (...) - D. Sugny - Workshop 2 - CEB T2 2018

Dominique Sugny (Univ. Bourgogne) / 05.06.2018 Optimal control of spin systems with applications in Magnetic Resonance Optimal control can be viewed as a generalization of the classical calculus of variations for problems with dynamical constraints. Optimal control was born in its modern

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

Related pages

Scalar field | B-spline | Point (geometry) | Weight function | Convex hull | Bézier curve | Computer representation of surfaces | Partition of unity