Computer graphics data structures
In computer graphics, a procedural surface is a representation of a surface as a mathematical implicit equation, rather than an explicit representation. An explicit representation, for example, describes a line as the straight segment going through two given points. A procedural surface is one which is defined as a procedure. For example, in CAD/Computer-aided manufacturing milling applications, an offset surface is a procedural representation because it is defined as the surface which is a fixed distance from another surface. Another well-known procedural edge on a 3D body is the silhouette edge. This edge is defined as the collection of points on a surface whose outwards surface normal is perpendicular to the view vector. Another example of a procedural surface is a Blob as illustrated in movies like The Abyss in the scene where the creature made up of water reaches out and touches the character. The surface is defined as a surface which exists when two or more control points are oriented in such a way as to make the exceed a certain threshold. Such procedural surfaces require far more processing to calculate, and for this reason are often used in pre-rendered rather than real-time applications. This approach is commonly used by and was defined by van der Waals when defining a region of space where the electric charge equipotential surface had a definite value. (Wikipedia).
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Lecture 14: Discrete Surfaces (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
From playlist Surface integrals
From playlist Surface integrals
Flow through a single piece of area
From playlist Surface integrals
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 surfac
From playlist Calculus
MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
Elia Fioravanti: Spaces of cubulations
CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 27, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference
Navigating Intrinsic Triangulations - SIGGRAPH 2019
Navigating Intrinsic Triangulations. Nicholas Sharp, Yousuf Soliman, and Keenan Crane. ACM Trans. on Graph. (2019) http://www.cs.cmu.edu/~kmcrane/Projects/NavigatingIntrinsicTriangulations/paper.pdf We present a data structure that makes it easy to run a large class of algorithms from co
From playlist Research
Richard Schoen - Positive Mass Theorem in All Dimensions [2018]
Name: Richard Schoen Event: Workshop: Mass in General Relativity Event URL: view webpage Title: Positive Mass Theorem in All Dimensions Date: 2018-03-26 @10:00 AM Location: 102 http://scgp.stonybrook.edu/video_portal/video.php?id=3552
From playlist Mathematics
MathSymbolica: Last-Passage Algorithm Development
Thanks to MathSymbolica based on Mathematica and developed by Prof. Youngju Chung in Korea, my last-passage algorithm Green function development has been very easy. The symbolic computing becomes complicated as we go from dipole, quadrupole and octupole. However, we have no technical diffi
From playlist Wolfram Technology Conference 2021
Rotate Curve: Find Surface Area of Resulting Solid
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Rotate a curve about the x-axis. How do we calculate the surface area of the resulting solid? We can use calculus - find out here! A surface of revolution is a surface in Euclidean space created by rotating a
From playlist Learn Calculus 2 on Your Mobile Device / Learn Math on Your Phone!
Arthrodesis | Anterior Ankle Fusion Surgery | Nucleus Health
Visit our website to learn more about using Nucleus animations for patient engagement and content marketing: http://www.nucleushealth.com/?utm_source=youtube&utm_medium=video-description&utm_campaign=anteanklefusion-052215 #AnteriorAnkleFusion #AnkleArthrodesis #Ankle This 3D medical vid
From playlist Nucleus Medical Animations in English
Algorithms for motion of networks by weighted mean curvature – Selim Esedoğlu – ICM2018
Mathematics in Science and Technology Invited Lecture 17.13 Algorithms for motion of networks by weighted mean curvature Selim Esedoğlu Abstract: I will report on recent developments in a class of algorithms, known as threshold dynamics, for computing the motion of interfaces by mean cur
From playlist Mathematics in Science and Technology
Bertrand Eynard: (Mixed) topological recursion and the two-matrix model - Lecture 3
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this series of lecture we will introduce the 2-matrix model and the issue of mixed traces, then we shall give the answers as formulas. Some formulas will be
From playlist Noncommutative geometry meets topological recursion 2021
On Singularities With Rational Homology Disk Smoothings - Andras Stipsicz
Andras Stipsicz Renyi Institute of Mathematics; Institute for Advanced Study September 30, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Arthrodesis | Arthroscopic Ankle Fusion Surgery | Nucleus Health
Hospitals can license this animation for patient education and content marketing initiatives. Learn more: http://www.nucleushealth.com/?utm_source=youtube&utm_medium=video-description&utm_campaign=arthanklefusion-071015 This 3D medical animation depicts the anatomy and function of the ank
From playlist Laparoscopic & Arthroscopic Procedures
Developments in superstring perturbation theory
Distinguished Visitor Lecture Series Developments in superstring perturbation theory Ashoke Sen Harish-Chandra Research Institute, Allahabad, India
From playlist Distinguished Visitors Lecture Series