Kashif Murtaza Lectures 15, 16 and 17

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Presentation transcript:

Kashif Murtaza Lectures 15, 16 and 17 CS 565 Computer Vision Kashif Murtaza Lectures 15, 16 and 17

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Inverse Transforms Courtesy: Sohaib Khan

What is Inverse of Rotation? What is inverse of Translation? Inverse Transforms What is Inverse of Rotation? What is inverse of Translation? What is inverse of Shear in X-direction? What is inverse of Shear in Y-direciton? Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

Courtesy: Sohaib Khan

2-D Projective Transform Also Called 2-D Homography Dof? Invariants? Lines map to lines! Linear Transform?

Estimation of Homography: DLT Direct Linear Transform (4.1 MVG Hartly & Zisserman)

Estimation of Homography: DLT Direct Linear Transform (4.1 MVG Hartly & Zisserman)

Estimation of Homography: DLT Direct Linear Transform (4.1 MVG Hartly & Zisserman)

Estimation of Homography: DLT Direct Linear Transform (4.1 MVG Hartly & Zisserman)

Estimation of Homography: DLT Direct Linear Transform (4.1 MVG Hartly & Zisserman)

Estimation of Homography: DLT Direct Linear Transform (4.1 MVG Hartly & Zisserman) How many correspondences? A is rank deficient! Null Space of A Invertibilty of H? Over determined system in the existence of noisy markings?

Projective Warping