Geometric algorithms | Geometric intersection

Surface-to-surface intersection problem

The surface-to-surface intersection (SSI) need. is a basic workflow in computer-aided geometric design: Given two intersecting surfaces in R3, compute all parts of the intersection curve. If two surfaces intersect, the result will be a set of isolated points, a set of curves, a set of overlapping surfaces, or any combination of these cases. Because exact solutions can be found only for some special surface classes, approximation methods must be used for the general case. (Wikipedia).

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When do surfaces intersect?

Example showing where two surfaces intersect. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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When do vector functions intersect?

Free ebook http://tinyurl.com/EngMathYT Example discussing intersection of curves of two vector functions on one variable.

From playlist Engineering Mathematics

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Intersection of Planes on Geogebra

In this video, we look at a strategy for finding the intersection of planes on Geogebra.

From playlist Geogebra

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Square and Regular Hexagon Action: Challenge Problem

Link: https://www.geogebra.org/m/dxsNFYWQ

From playlist Geometry: Challenge Problems

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Triangle Median: Challenge Problem

Link: https://www.geogebra.org/m/jESRWymr BGM: Andy Hunter

From playlist Geometry: Challenge Problems

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Ex: Determine the Point of Intersection of a Plane and a Line.

This video explains how to determine the intersection point of a plane and a line. http://mathispower4u.com

From playlist Equations of Planes and Lines in Space

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Determine a Vector Valued Function from the Intersection of Two Surfaces

This video explains how to represent the intersection of two surfaces as a vector valued function. http://mathispower4u.yolasite.com/

From playlist Vector Valued Function

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Complex surfaces 2: Minimal surfaces

This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc

From playlist Algebraic geometry: extra topics

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Joel Hass - Lecture 3 - Algorithms and complexity in the theory of knots and manifolds - 20/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro

From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Intersections of tangent lines

Tough problem analyzing the behavior of the intersection of tangent lines to a circle

From playlist Geometry

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Joshua Greene - On curves intersecting at most once

June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry How many essential simple closed curves can you draw on a surface so that no two are homotopic and no two intersect more than once? I will discuss pro

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

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The Polynomial Method and Applications From Finite Field Kakeya to Distinct Distances - Larry Guth

Larry Guth University of Toronto; Member, School of Mathematics April 22, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Unexpected Applications of Polynomials in Combinatorics - Larry Guth

Larry Guth Massachusetts Institute of Technology March 12, 2013 In 2007, Zeev Dvir shocked experts by giving a one-page proof of the finite field Kakeya problem. The new idea in the proof was to introduce high degree polynomials into a problem about points and lines. This idea has led to p

From playlist Mathematics

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algebraic geometry 33 Rationality of cubic surfaces

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives two rather informal and incomplete arguments for why nonsingular cubic surfaces are rational.

From playlist Algebraic geometry I: Varieties

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Lecture 12: Geometric Queries (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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Joel Hass - Lecture 2 - Algorithms and complexity in the theory of knots and manifolds - 19/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro

From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Daniel Massart: Algebraic intersection on translation surfaces

CIRM HYBRID EVENT Recorded during the meeting "Teichmüller Theory: Classical, Higher, Super and Quantum " the October 09, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide ma

From playlist Dynamical Systems and Ordinary Differential Equations

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Imaginary Numbers Are Real [Part 13: Riemann Surfaces]

Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources. Supporting Code: https://github.com/stephencwelch/Imaginary-Numbers-Are-Real Imaginary numbers are not some wild invention, they are the deep and natural result

From playlist Imaginary Numbers are Real

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Intersection of circles and lines

Practice finding the intersection of a circle and a line

From playlist Geometry

Related pages

Surface (mathematics) | Point (geometry) | Curve | Intersection curve | Approximation