1 / 11

Solving Visibility with Epipolar Geometry

Solving Visibility with Epipolar Geometry. Tien-Tsin Wong. Chinese University of Hong Kong. View Interpolation. Given the reference images. Synthesize the (desired) image in between. Tien-Tsin Wong (Nov. 1999). Visibility. View Interpolation (2). Two sub-problems:

conner
Download Presentation

Solving Visibility with Epipolar Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Visibility with Epipolar Geometry Tien-Tsin Wong Chinese University of Hong Kong

  2. View Interpolation • Given the reference images • Synthesize the (desired) image in between Tien-Tsin Wong (Nov. 1999)

  3. Visibility View Interpolation (2) • Two sub-problems: • Where should pixels be moved to? • Depth • Correspondences • or optical flows Tien-Tsin Wong (Nov. 1999)

  4. Visibility • Traditional solution: depth-buffering • Depths may not be available (especially in real image) • Can we solve the visibility without depth? • Epipolar geometry Tien-Tsin Wong (Nov. 1999)

  5. Epipolar Geometry • Consider another pixel i2 • p2 will occlude p1 only when p1, p2 & e are coplanar, colinear and p2 is in between • Configuration of two cameras Reference image Desired image Reference camera Desired camera Tien-Tsin Wong (Nov. 1999)

  6. positive epipole Epipolar Geometry (2) • Only pixels on the same epipolar line may occlude each other • Although we don’t know where are p1 & p2, their projection on the epipolar line determines the visibility (e.g. i1 will never occludes i2) • If we always draw i1 before i2, the correct visibility is ensured without knowing the depth information • To identify pixels potentially occlude each other, the epipolar plane is intersected with the reference image to give the epipolar line Epipolar plane Tien-Tsin Wong (Nov. 1999)

  7. Pattern of Drawing Order • By intersecting the epipolar planes with the reference image, a pattern of drawing order can be obtained Tien-Tsin Wong (Nov. 1999)

  8. Pattern of Drawing Order • A diverging pattern is formed if the direction of the epipolar ray reverses. Tien-Tsin Wong (Nov. 1999)

  9. Pixel-based Drawing Order • In fact, there are only three kinds of patterns Tien-Tsin Wong (Nov. 1999)

  10. Results Reference image Desired image • To illustrate the ordering, the triangle should be drawn earlier is shaded in darker color. • Foreground surface should be brighter Tien-Tsin Wong (Nov. 1999)

  11. The End Tien-Tsin Wong (Nov. 1999)

More Related