Peter Corke

Last seen: mehr als ein Jahr vor | Aktiv seit 2013

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Professional Interests: robotics, computer vision

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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...

mehr als 5 Jahre vor

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...

mehr als 5 Jahre vor | 0 | 22 Lösungsvorschläge

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()| .

mehr als 5 Jahre vor | 1 | 16 Lösungsvorschläge

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...

mehr als 5 Jahre vor | 1 | 16 Lösungsvorschläge

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...

mehr als 5 Jahre vor | 1 | 9 Lösungsvorschläge

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...

mehr als 5 Jahre vor | 2 | 13 Lösungsvorschläge

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...

mehr als 5 Jahre vor | 1 | 7 Lösungsvorschläge

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

mehr als 5 Jahre vor

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Create a vector
Create a vector from 0 to n by intervals of 2.

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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 ...

mehr als 5 Jahre vor

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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 ...

mehr als 5 Jahre vor

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

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Find max
Find the maximum value of a given vector or matrix.

mehr als 5 Jahre vor

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

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inner product of two vectors
inner product of two vectors

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Arrange Vector in descending order
If x=[0,3,4,2,1] then y=[4,3,2,1,0]

mehr als 5 Jahre vor

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...

fast 6 Jahre vor | 1 | 12 Lösungsvorschläge

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...

fast 6 Jahre vor | 2 | 17 Lösungsvorschläge

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...

fast 6 Jahre vor | 2 | 57 Lösungsvorschläge

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...

fast 6 Jahre vor | 1 | 48 Lösungsvorschläge

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 ...

fast 6 Jahre vor | 1 | 15 Lösungsvorschläge

Problem

Pose interpolation in 2D
Consider two poses represented by homogeneous transformation matrices: |T1| and |T2|. Write an algorithm to interpolate between...

fast 6 Jahre vor | 1 | 26 Lösungsvorschläge

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...

fast 6 Jahre vor | 1 | 54 Lösungsvorschläge

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...

fast 6 Jahre vor | 4 | 96 Lösungsvorschläge

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...

fast 6 Jahre vor | 2 | 62 Lösungsvorschläge

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...

fast 6 Jahre vor | 3 | 149 Lösungsvorschläge

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...

fast 6 Jahre vor | 1 | 91 Lösungsvorschläge

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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...

mehr als 6 Jahre vor

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"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) ...]...

mehr als 6 Jahre vor

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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 ...

mehr als 6 Jahre vor

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Peter Corke

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