Geometry in computer vision

Camera matrix

In computer vision a camera matrix or (camera) projection matrix is a matrix which describes the mapping of a pinhole camera from 3D points in the world to 2D points in an image. Let be a representation of a 3D point in homogeneous coordinates (a 4-dimensional vector), and let be a representation of the image of this point in the pinhole camera (a 3-dimensional vector). Then the following relation holds where is the camera matrix and the sign implies that the left and right hand sides are equal except for a multiplication by a non-zero scalar : Since the camera matrix is involved in the mapping between elements of two projective spaces, it too can be regarded as a projective element. This means that it has only 11 degrees of freedom since any multiplication by a non-zero scalar results in an equivalent camera matrix. (Wikipedia).

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Camera Sensor

Every digital camera has a sensor located behind the lens. The sensor is the part that actually captures the photo, much like the roll of film in a film camera. We hope you enjoy! To learn more, check out our written lesson here: https://edu.gcfglobal.org/en/digitalphotography/

From playlist Digital Photography

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order

From playlist Linear Algebra for Computer Scientists

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Dipole Matrix Element Explained

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Optoelectronic and Photonic Devices

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Compact Cameras

Compact cameras are designed to be affordable, convenient, and easy to use. They don’t feature a viewfinder, utilizing instead a screen that shows the frame or image. Compact cameras are great if you’re taking a trip and don’t want to carry something big and bulky. We hope you enjoy! To

From playlist Digital Photography

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2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

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Matrices - Basics | Don't Memorise

What are Matrices? View this video to understand the basics of Matrices. ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=JMjbPh1Mjn8&utm_term=%7Bkeyword%7D In this vid

From playlist Matrices

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Physics: Optics- Thick Lenses (22 of 56) The System Matrix

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how to calculate the system matrix for a thick lens. (Blooper at 5:25 :) ) Next video in this series can be seen at: https://youtu.be/whw1pSSnFqI

From playlist PHYSICS 55.3 THICK LENSES

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Code-It-Yourself! 3D Graphics Engine Part #3 - Cameras & Clipping

Phew, it's a long one but I feel necessary to get this series moving. This video describes how to implement cameras and clipping planes in a 3D engine. In addition, I derive the look at and point at matrices, typically used in cameras, and talk about how to clip triangles against planes in

From playlist Code-It-Yourself!

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Lecture: Principal Componenet Analysis (PCA)

The SVD algorithm is used to produce the dominant correlated mode structures in a data matrix.

From playlist Beginning Scientific Computing

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Seminar on Applied Geometry and Algebra (SIAM SAGA): Rekha Thomas

Date: Tuesday, November 10 at 11:00am EST (5:00pm CET) Speaker: Rekha Thomas, University of Washington Title: When Two Cameras Meet a Cubic Surface Abstract: The set of images captured by an arrangement of pinhole cameras is usually modeled by the multiview variety. The true set is in f

From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

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Camera Parts

Cameras come in many different shapes and sizes, so the exact buttons and features will vary. However, there are a few basic parts that almost all cameras have. We hope you enjoy! To learn more, check out our written lesson here: https://edu.gcfglobal.org/en/digitalphotography/

From playlist Digital Photography

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BIG PROJECT! Top Down City Based Car Crime Game #1

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From playlist Code-It-Yourself!

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OpenGL - 3D rendering overview

Part of a series covering OpenGL. (revision of an earlier video: some restructuring and narration fixes)

From playlist OpenGL

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Lecture 4: Computational Illumination: dual photography, relighting - Part 1

MIT MAS.531 Computational Camera and Photography, Fall 2009 Instructor: Ramesh Raskar View the complete course: https://ocw.mit.edu/courses/mas-531-computational-camera-and-photography-fall-2009/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61pwA6paIRZ30q1sjLE8b6c L

From playlist MIT MAS.531 Computational Camera and Photography, Fall 2009

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RUBYCONF 2009 - Computer Vision Using Ruby and libJIT by: Jan Wedekind

Help us caption & translate this video! http://amara.org/v/GX4w/

From playlist RubyConf 2009

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Lecture 17: Photogrammetry, Orientation, Axes of Inertia, Symmetry, Orientation

MIT 6.801 Machine Vision, Fall 2020 Instructor: Berthold Horn View the complete course: https://ocw.mit.edu/6-801F20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63pfpS1gV5P9tDxxL_e4W8O This lecture marks a transition in what we have covered so far in the course from

From playlist MIT 6.801 Machine Vision, Fall 2020

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We geek out over the truly Epic Unreal Engine 5 demo released in The Matrix Awakens and discuss the technology that makes it possible. Kishore also gives an update on the research being done on the Omicron variant, what to expect over the coming weeks, and silver linings in the data. Joi

From playlist This Is Only a Test

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Identity Matrix | Unit Matrix | Don't Memorise

This video explains the concept of an Identity Matrix. Is it also called a Unit Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=iks8wCfPerU&utm_term=%7Bkeyword%

From playlist Matrices

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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

Related pages

Rotation matrix | Projective space | Camera resectioning | Modulo (mathematics) | Pinhole camera model | 3D projection | Projective plane | Matrix (mathematics) | Plane (geometry) | Homography (computer vision) | Homogeneous coordinates