Graphical projections

Projection plane

A projection plane, or plane of projection, is a type of view in which graphical projections from an object intersect. Projection planes are used often in descriptive geometry and graphical representation. A picture plane in perspective drawing is a type of projection plane. With perspective drawing, the lines of sight, or projection lines, between an object and a picture plane return to a vanishing point and are not parallel. With parallel projection the lines of sight from the object to the projection plane are parallel. * Perspective projection of triangle ABC on plane Π from point S. * Axonometric projection on projection plane Π * A cube in two-point perspective * Simulated rays of light travel from the object, through the projection plane, and to the viewer's eye or camera. This is the basis for graphical perspective. * Various graphical projections and how they are produced (Wikipedia).

Projection plane
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Stereographic projection

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q41V.

From playlist 3D printing

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Ex: Find the Distance Between Two Parallel Planes

This video explains how to use vector projection to find the distance between two planes. Site: http://mathispower4u.com

From playlist Equations of Planes and Lines in Space

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Helicopter Flight

An animation I put together of a helicopter flying through a mountain range. I did not create the mountain background animation.

From playlist Motion Design Portfolio

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Normal Vector to a Plane: Dynamic Illustration

Link: https://www.geogebra.org/m/bRKxY9Zu

From playlist 3D: Dynamic Interactives!

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Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning

Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an

From playlist Maths Topics

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Vector Projection

This video explains how to determine the projection of one vector onto another vector. http://mathispower4u.yolasite.com/

From playlist Vectors

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Projection of One Vector onto Another Vector

Link: https://www.geogebra.org/m/wjG2RjjZ

From playlist Trigonometry: Dynamic Interactives!

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Reflection About a Plane: Dynamic & Modifiable Illustration

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

From playlist 3D: Dynamic Interactives!

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Projections (video 4): N-dimensional projections

Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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Projections of the curve onto the coordinate axes (KristaKingMath)

► My Vectors course: https://www.kristakingmath.com/vectors-course Learn how to sketch the projections of the curve. Projections are like shadows formed by the curve on the three coordinate axes. Given components of the vector equation, you can write parametric equations of the curve. Use

From playlist Calculus III

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Calculus 15.6 Triple Integrals

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Worldwide Calculus: Integration in R³

Lecture on 'Integration in R³' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Integrals

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Perspectives in Math and Art by Supurna Sinha

KAAPI WITH KURIOSITY PERSPECTIVES IN MATH AND ART SPEAKER: Supurna Sinha (Raman Research Institute, Bengaluru) WHEN: 4:00 pm to 5:30 pm Sunday, 24 April 2022 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Abstract: The European renaissance saw the merging of mathematics and art in th

From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)

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Linear Algebra 15g: Geometric Transformation in Space, As Opposed to on the Plane

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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An Intuitive Introduction to Projective Geometry Using Linear Algebra

This is an area of math that I've wanted to talk about for a long time, especially since I have found how projective geometry can be used to formulate Euclidean, spherical, and hyperbolic geometries, and a possible (and hopefully plausible) way projective geometry (specifically the model t

From playlist Summer of Math Exposition 2 videos

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Planes -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

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algebraic geometry 16 Desargues's theorem

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers Desargues's theorem and duality of projective space.

From playlist Algebraic geometry I: Varieties

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OpenGL - model transform and projection

Code samples derived from work by Joey de Vries, @joeydevries, author of https://learnopengl.com/ All code samples, unless explicitly stated otherwise, are licensed under the terms of the CC BY-NC 4.0 license as published by Creative Commons, either version 4 of the License, or (at your o

From playlist OpenGL

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The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

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15. Projections onto Subspaces

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 15. Projections onto Subspaces License: Creative Commons BY-NC-SA More information at https://

From playlist MIT 18.06 Linear Algebra, Spring 2005

Related pages

Picture plane | Vanishing point | Descriptive geometry | Parallel projection