What are homogenous coordinates, and what are they useful for? Alternative system of coordinates used in projective geometry and computer graphics O To map a point in homogenous coordinates to its corresponding euclidean coordinate we need to multiply by an essential matrix O In homogenous coordinates points are defined up to a scale (so x and wx in homogenous coordinates represent the same point in euclidean coordinates) Homogenous coordinates simplify projective transformations representing all of them by matrix multiplications

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter13: Structures
Section: Chapter Questions
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# Computer Vision

# Geometry Quiz

What are homogenous coordinates, and what are they useful for?
Alternative system of coordinates used in projective geometry and computer graphics
To map a point in homogenous coordinates to its corresponding euclidean coordinate we need to multiply it
by an essential matrix
In homogenous coordinates points are defined up to a scale (so x and wx in homogenous coordinates
represent the same point in euclidean coordinates)
Homogenous coordinates simplify projective transformations representing all of them by matrix
multiplications
Transcribed Image Text:What are homogenous coordinates, and what are they useful for? Alternative system of coordinates used in projective geometry and computer graphics To map a point in homogenous coordinates to its corresponding euclidean coordinate we need to multiply it by an essential matrix In homogenous coordinates points are defined up to a scale (so x and wx in homogenous coordinates represent the same point in euclidean coordinates) Homogenous coordinates simplify projective transformations representing all of them by matrix multiplications
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