# Peter Corke

### Queensland University of Technology

Professional Interests: robotics, computer vision

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**Content Feed**

Solved

How to find the position of an element in a vector without using the find function

Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for. Examples: fin...

3 years ago

Problem

Invert a 3D rotation matrix

Given a 3D rotation matrix, belonging to the matrix group SO(3), compute its inverse without using the functions |inv()| or |pin...

3 years ago | 0 | 17 solvers

Problem

Invert a 3D rigid-body transformation

Given an SE(3) matrix representing a rigid-body motion, compute its inverse without using |inv()| or |pinv()| .

3 years ago | 1 | 10 solvers

Problem

Create a 3D rotation matrix

Consider an arbitrary coordinate frame {A}. Consider another coordinate frame {B} which has the same origin as {A} but is rotat...

3 years ago | 1 | 13 solvers

Problem

Create a 3D rotation matrix from roll-pitch-yaw angles

Consider an aerospace application where the world reference coordinate frame {W} and a body-fixed coordinate frame {B}. The ori...

3 years ago | 1 | 6 solvers

Problem

Orientation of a 3D coordinate frame

The orientation of a body-fixed frame {B} with respect to the world frame {W} is described by an SO(3) rotation matrix. Compute...

3 years ago | 1 | 4 solvers

Problem

Determine roll pitch yaw angles from a 3D rotation matrix

Consider an aerospace application where the world reference coordinate frame {W} and a body-fixed coordinate frame {B}. The ori...

3 years ago | 1 | 3 solvers

Solved

Vector creation

Create a vector using square brackets going from 1 to the given value x in steps on 1. Hint: use increment.

3 years ago

Solved

Doubling elements in a vector

Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...

3 years ago

Solved

Flip the vector from right to left

Flip the vector from right to left. Examples x=[1:5], then y=[5 4 3 2 1] x=[1 4 6], then y=[6 4 1]; Request not ...

3 years ago

Solved

Whether the input is vector?

Given the input x, return 1 if x is vector or else 0.

3 years ago

Solved

Get the length of a given vector

Given a vector x, the output y should equal the length of x.

3 years ago

Problem

Homogeneous lines and points in 2D: problem 1

In high school we learn the line equation y = mx + c where m is the gradient and c is the intercept. However this form is prob...

3 years ago | 1 | 8 solvers

Problem

Pose from bearing angles in 2D

A robot moving on the plane has a sensor that measures the bearing angle to two mapped landmarks, that is, the world frame coord...

3 years ago | 2 | 15 solvers

Problem

Composing relative poses in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

3 years ago | 2 | 38 solvers

Problem

Composing relative poses in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

3 years ago | 1 | 34 solvers

Problem

Twists in 2D

So far we have represented the pose of an object in the plane using a homogeneous transformation, a 3x3 matrix belonging to the ...

3 years ago | 1 | 12 solvers

Problem

Pose interpolation in 2D

Consider two poses represented by homogeneous transformation matrices: |T1| and |T2|. Write an algorithm to interpolate between...

3 years ago | 1 | 18 solvers

Problem

Relative points in 2D: problem 3

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

3 years ago | 1 | 33 solvers

Problem

Relative points in 2D: problem 1

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

3 years ago | 3 | 64 solvers

Problem

Relative points in 2D: problem 2

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

3 years ago | 2 | 45 solvers

Problem

Relative pose in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

3 years ago | 2 | 98 solvers

Problem

Relative pose in 2D: problem 2

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

3 years ago | 1 | 60 solvers

Solved

middleAsColumn: Return all but first and last element as a column vector

Given input A, return all but the first and last elements, arranged as a column vector. (I.e., all dimensions after the first s...

3 years ago

Solved

"Low : High - Low : High - Turn around " -- Create a subindices vector

Let two vectors *lo* and *hi* be given. The job is to create a index vector like so idx = [lo(1):hi(1) lo(2):hi(2) ...]...

3 years ago

Solved

First non-zero element in each column

For a given matrix, calculate the index of the first non-zero element in each column. Assuming a column with all elements zero ...

3 years ago