PPT-CAD Lecture 4: Geometric Transformations

. Pxy brPage 2br GeometricTransformations A geometric object is repres ented by its vertices as position vectors A geometric transformation is an operation that modifies its shape size position orient ation etc with respect to its current configurati a 12 22 a a mn is an arbitrary matrix Rescaling The simplest types of linear transformations are rescaling maps Consider the map on corresponding to the matrix 2 0 0 3 That is 7 2 0 0 3 00 brPage 2br Shears The next simplest type of linear transfo Ch. 2 Lesson 3. Pg. 123. What will you will learn?. Enlarge Photographs. Make something from a pattern. Identify Similarity. Two figures are . similar. if the second can be obtained from the first by a sequence of transformations and dilations. Lecture 3. Jitendra. Malik. Pose and Shape. Rotations and reflections are examples. of orthogonal transformations . Rigid body motions. (Euclidean transformations / . isometries. ). Theorem:. Any rigid body motion can be expressed as an orthogonal transformation followed by a translation.. Orbit . Determination . I. Fall . 2015. Professor Brandon A. Jones. Lecture 28: Orthogonal Transformations. Lecture quiz due at 5pm. Exam 2 – Friday, November 6. Office Hours Next Week:. Prof. Jones – T/. Maurice J. . Chacron. and Kathleen E. Cullen. Outline. Lecture 1: . - Introduction to sensorimotor . . transformations. - . The case of “linear” sensorimotor . transformations: . Series. Find sums of infinite geometric series.. Use mathematical induction to prove statements.. Objectives. infinite geometric series. converge. limit. diverge. mathematical induction. Vocabulary. In Lesson 12-4, you found partial sums of geometric series. You can also find the sums of some infinite geometric series. An . Transformations. CS5670: Computer Vision. Noah Snavely. Reading. Szeliski: Chapter 3.6. Image alignment. Why don’t these image line up exactly?. What is the geometric relationship between these two images?. Learning Targets: 8.G.2,8.G.3, 8.G.4. Follow the slides to learn more about transformations. Students should have paper and a pencil for notes at their desk while going through this presentation.. Transformation: a transformation is a change in position, shape or size.. Collage. The artwork we’ll be creating in this tutorial has . and . retro collage vibe with snippets of a photograph being cut out and rearranged into perfectly symmetrical geometric shapes. . The final result will be an abstract piece of art with portions of the image cut out and recomposed into a collage effect. The geometric lines will keep everything balanced while the additional texturing and . 1. PHY . 7. 11 Classical Mechanics and Mathematical Methods. 10-10:50 AM MWF Olin 103. Plan for Lecture 10:. Continue reading Chapter 3 & 6. Constants of the motion. Conserved quantities. Legendre transformations. Raytracing. Lecture 7: Optics. UCSD Physics 122. 2. Reflection. We describe the path of light as straight-line rays. “geometrical optics” approach. Reflection off a flat surface follows a simple rule:. CSE 455. Ali Farhadi. Many slides from Steve Seitz and Larry . Zitnick. What are geometric transformations?. Translation. Preserves: Orientation. Translation and rotation. Scale. Similarity transformations. CS5670: Computer Vision. Reading. Szeliski. : Chapter 3.6. Announcements. Project 2 out, due Thursday, March 3 by 8pm. Do be done in groups of 2 – if you need help finding a partner, try Ed Discussions or let us know.