## Summary of 2D geometry and pose

In Robotics | No commentThis video gives summary of 2D geometry and pose.

13 Jul

This video gives summary of 2D geometry and pose.

13 Jul

We learn how to describe the 2D pose of an object by a 3×3 homogeneous transformation matrix which has a special structure.

13 Jul

We learn how to describe the orientation of an object by a 2×2 rotation matrix which has some special properties.

13 Jul

The pose of an object can be considered in two parts, the position of the object and the orientation of the object.

13 Jul

We consider multiple objects each with its own coordinate frame. Now we can describe the relationships between the frames and find a vector describing a point with respect to any of these frames. We extend our algebraic notation to ease the manipulation of relative poses.

13 Jul

We introduce the idea of attaching a coordinate frame to an object. We can describe points on the object by constant vectors with respect to the object’s coordinate frame, and then relate those to the points described with respect to a world coordinate frame. We introduce a simple algebraic notation to describe this.

13 Jul

To fully describe an object on the plane we need to not only describe its position, but also which direction it is pointing. This combination is referred to as pose.

13 Jul

We revisit the fundamentals of geometry that you would have learned at school: Euclidean geometry, Cartesian or analytic geometry, coordinate frames, points and vectors.

13 Jul

We learn how to describe the position and orientation of objects on a 2-dimensional plane. We introduce the notion of reference frames as a basis for describing the position of objects in two dimensions.

13 Jul

This video gives summary of robots and why we need them.

13 Jul

Without doubt robots are cool, but why do we need them? Let’s discuss some of the things that robots can help people do.

13 Jul

Self-driving cars are in the news a lot lately. An alternative way to think of such cars is as robots that carry people.

13 Jul

We have a deep fascination with machines created in our own image. Let’s explore the world of humanoid robots.

13 Jul

In this mini-documentary we look at a diverse range of real-world robots, discuss what they do and how they do it.

13 Jul

Robots today are ubiquitous in manufacturing but they can do much, much more.

13 Jul

Humans have long been fascinated by machines that mimic people and animals. These and several other technologies are the precursors of modern robots.

13 Jul

Much of what we know about robots comes from fiction. Let’s look at fictional robots and the underlying reality.

13 Jul

We introduce the topic of robotics, the recent history, why we need robots and the future of robots.

07 Jul

Robots in entertainment environments typically do not allow for physical interaction and contact with people. However, catching and throwing back objects is one form of physical engagement that still maintains a safe distance between the robot and participants. Using an animatronic humanoid robot, we developed a test bed for a throwing and catching game scenario. We use an external camera system (ASUS Xtion PRO LIVE) to locate balls and a Kalman ﬁlter to predict ball destination and timing. The robot’s hand and joint-space are calibrated to the vision coordinate system using a least-squares technique, such that the hand can be…

07 Jul

This project presents a method for synthesizing motions of a humanoid robot that receives an object from a human, with focus on a natural object passing scenario where the human initiates the passing motion by moving an object toward the robot, which continuously adapts its motion to the observed human motion in realtime. In this scenario, the robot not only has to recognize and adapt to the human action but also has to synthesize its motion quickly so that the human does not have to wait holding an object. We solve these issues by using a human motion database obtained…