# Mit6 801f20 lec20

Content type
User Generated
School
Massachusetts Institute of Technology
Rating
Showing Page:
1/12

Showing Page:
2/12

Showing Page:
3/12

End of Preview - Want to read all 12 pages?
Access Now
Unformatted Attachment Preview
6.801/6.866: Machine Vision, Lecture 20 Professor Berthold Horn, Ryan Sander, Tadayuki Yoshitake MIT Department of Electrical Engineering and Computer Science Fall 2020 These lecture summaries are designed to be a review of the lecture. Though I do my best to include all main topics from the lecture, the lectures will have more elaborated explanations than these notes. 1 Lecture 20: Space of Rotations, Regular Tessellations, Critical Surfaces in Motion Vision and Binocular Stereo In this lecture, we will transition from solving problems of absolute rotation (which, if you recall, ﬁnds the transformation between two 3D coordinate systems) into relative orientation, which ﬁnds the transformation between two 2D coordinate systems. We will start by covering the problem of binocular stereo, and in the process talk about tessellations from solids, critical surfaces. 1.1 Tessellations of Regular Solids As a brief review from the last lecture, recall that we saw we can encode rotations as 4D points on the unit sphere, where the coordinates of these 4D points correspond to our coeﬃcients for the unit quaternion. What are tessellations? “A ﬁlling or tessellations of a ﬂat surface is the covering of a plane using one or more geometric shapes (polygons).” [1]. Tessellations of the surface of the sphere can be based on platonic solids, with 4, 6, 8, 12, and 20 faces. Each of the tessellations from the platonic solids results in equal area projections on the sphere, but ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

### Review

Anonymous
Great study resource, helped me a lot.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4