Recent content by atrus_ovis
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Graduate Inverse transformation matrix entry bounds
You're right, i meant I_3 \pm \text{repmat(d,3,3)} in matlabese.- atrus_ovis
- Post #7
- Forum: Linear and Abstract Algebra
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Graduate Inverse transformation matrix entry bounds
It is a scalar.A is not a diagonal,it's an identity matrix, where each value is shifted by at least/most +/- d. Yup,that's what i did.- atrus_ovis
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Inverse transformation matrix entry bounds
Nobody replies :( Well i had the following idea: make a matrix [ A , eye(3) , MinBound , MaxBound] , and reduce it to row echelon form. That way the first 3x3 chunk will be eye(3) , the second the inverse of A , the third and fourth the respective min and max bounds for the inverse, hopefully.- atrus_ovis
- Post #2
- Forum: Linear and Abstract Algebra
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Graduate Inverse transformation matrix entry bounds
I have sets of 2d vectors to be transformed by an augmented matrix A that performs an affine transform. Matrix A can have values that differ at most |d| from the identity matrix, to limit the transformation, meaning that the min/max bounds for A are I_3 \pm dI_3 The problem is that i'd lke...- atrus_ovis
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- Bounds Inverse Matrix Transformation Transformation matrix
- Replies: 6
- Forum: Linear and Abstract Algebra
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Undergrad Rotation,angle of vector from axes ?
I use the matrices from here http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations to perform the rotations of each vector. Instead of using a "combined" matrix i do the rotations one after another,which us equivalent. Instead of using the inverse, i just use the negative...- atrus_ovis
- Post #10
- Forum: Linear and Abstract Algebra
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Undergrad Rotation,angle of vector from axes ?
To this: Yes , like a regular 3rd person camera, viewing left/right and up/down.- atrus_ovis
- Post #8
- Forum: Linear and Abstract Algebra
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Undergrad Rotation,angle of vector from axes ?
Yes, of course. The left axis changes when rotation around the up is performed, and vice versa.- atrus_ovis
- Post #6
- Forum: Linear and Abstract Algebra
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Undergrad Rotation,angle of vector from axes ?
I have two vectors, v1, v2 ( the "up" and "left" vector of an object) and i want to rotate with respect to them, to implement left/right rotation and up/down rotation. But since i am aligning the reference vector with an axis, rotating via that axis, and performing the inverse alignment...- atrus_ovis
- Post #4
- Forum: Linear and Abstract Algebra
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Undergrad Rotation,angle of vector from axes ?
How to find that? In R3. I want to rotate everything around a vector, at an angle A. (making a n openGL game at my free time) I tried , for normalized vector V = <x,y,z>: Displace V to start of axes. angleToYZ = acos(y); Rotate all around Z with that angle. (1) angleToZ = acos(z)...- atrus_ovis
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- Axes Vector
- Replies: 11
- Forum: Linear and Abstract Algebra
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Undergrad Rayleigh's differential equation
You're right , it was supposed to be given. Rayleigh's DE is y''-\mu y' + \frac{\mu (y')^3}{3} + y = 0 By rearranging it to a system of DEs, you get y_1 = y , y_1' = y_2 \\ y_2' = \mu y_2 - \frac{\mu (y_2)^3}{3} - y_1 So i have only the derivative of y2 , i.e. the 2nd derivative of y1. Since...- atrus_ovis
- Post #5
- Forum: Differential Equations
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Undergrad Rayleigh's differential equation
Well, i am asked to numerically solve it and produce a phase diagram. Should its value be given to me?- atrus_ovis
- Post #3
- Forum: Differential Equations
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Undergrad Rayleigh's differential equation
In Rayleigh's DE : http://www.wolframalpha.com/input/?i=rayleigh+differential+equation What does mu stand for?- atrus_ovis
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- Differential Differential equation
- Replies: 4
- Forum: Differential Equations
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Inverse 2D rotation with negative parameters
As i said, i rotate around the image center. p1 is the rotation angle,p2 and p3 the x ,y translations respectively. I am doing what you describe , but the problem is the following: Say i have an image I', its center located at cx,cy, and it's transformed by p1,p2,p3. (These parameters are...- atrus_ovis
- Post #3
- Forum: Precalculus Mathematics Homework Help
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Inverse 2D rotation with negative parameters
Homework Statement Say we have a 2D rigid body transform, with parameters p = [ p_1,p_2,p_3] for rotation, x translation and y translation respectively. I'm using the transform to .. transform an image. Is there a way to have: For a point x , y : x',y' = transform(x,y,p) <=> x,y =...- atrus_ovis
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- 2d Inverse Negative Parameters Rotation
- Replies: 2
- Forum: Precalculus Mathematics Homework Help
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Taylor's approximation formula for an IVP and the chain
Great.Thanks for your help.- atrus_ovis
- Post #5
- Forum: Calculus and Beyond Homework Help