'Projective transformations' presentation slideshows

The 2D Projective Plane

The 2D Projective Plane. Points and Lines. The 2D projective plane. A point in a plane is represented by (x, y) in R 2 (x, y) is also a vector Homogeneous representation point ( x 1 , x 2 , x 3 ) x= x 1 / x 3 y = x 2 / x 3

1.39k views • 90 slides

Projective structure from motion

638 views • 56 slides

Projective Geometry and Camera model Class 2

Projective Geometry and Camera model Class 2. points, lines, planes conics and quadrics transformations camera model Read tutorial chapter 2 and 3.1 http://www.cs.unc.edu/~marc/tutorial/ Chapter 1, 2 and 5 in Hartley and Zisserman. Homogeneous coordinates. but only 2DOF.

718 views • 55 slides

Image Morphing

557 views • 42 slides

Content

581 views • 42 slides

Objective

635 views • 39 slides

Projective Alpha Colour

Projective Alpha Colour. Philip Willis. Media Technology Research Centre, University of Bath. Overview of Talk. Digital compositing and alpha Projective geometry How they come together. Media Technology Research Centre, University of Bath. Digital Compositing. Porter and Duff 1984

428 views • 31 slides

Various camera configurations

Various camera configurations. Single point of fixation where optical axes intersect Optical axes parallel (fixation at infinity) General case. Epipolar geometry for cameras in general position. Epipolar geometry for cameras in general position.

318 views • 31 slides

Projective 2D geometry course 2

Projective 2D geometry course 2. Multiple View Geometry Comp 290-089 Marc Pollefeys. Content. Background : Projective geometry (2D, 3D), Parameter estimation, Algorithm evaluation. Single View : Camera model, Calibration, Single View Geometry.

484 views • 28 slides

EECS 274 Computer Vision

EECS 274 Computer Vision. Projective Structure from Motion. Projective structure from motion. The Projective Structure from Motion Problem Elements of Projective Geometry Projective Structure and Motion from Two Images Projective Motion from Fundamental Matrices

289 views • 27 slides

Projective geometry- 2D

Projective geometry- 2D. Acknowledgements Marc Pollefeys: for allowing the use of his excellent slides on this topic http://www.cs.unc.edu/~marc/mvg/ Richard Hartley and Andrew Zisserman, " Multiple View Geometry in Computer Vision ". Homogeneous representation of points. on.

530 views • 25 slides

Homogeneous Coordinates (Projective Space)

Homogeneous Coordinates (Projective Space). Let be a point in Euclidean space Change to homogeneous coordinates: Defined up to scale: Can go back to non-homogeneous representation as follows:. 3-D Transformations: Translation.

568 views • 22 slides

Multiple View Geometry Projective Geometry & Transformations of 2D

Vladimir Nedovi?. Multiple View Geometry Projective Geometry & Transformations of 2D. Intelligent Systems Lab Amsterdam (ISLA) Informatics Institute, University of Amsterdam Kruislaan 403, 1098 SJ Amsterdam, The Netherlands. vnedovic@science.uva.nl. 18-01-2008. Outline.

426 views • 22 slides

Multiple View Geometry Projective Geometry & Transformations of 2D

Vladimir Nedovi?. Multiple View Geometry Projective Geometry & Transformations of 2D. Intelligent Systems Lab Amsterdam (ISLA) Informatics Institute, University of Amsterdam Kruislaan 403, 1098 SJ Amsterdam, The Netherlands. vnedovic@science.uva.nl. 18-01-2008. Outline.

265 views • 22 slides

Geometric Transformations

Geometric Transformations. CSE P 576 Larry Zitnick (larryz@microsoft.com). What are geometric transformations?. Translation. Translation and rotation. Scale. Similarity transformations. Similarity transform (4 DoF ) = translation + rotation + scale. Aspect ratio. Shear.

158 views • 15 slides