Questions tagged [linear-algebra]

The study of Linear Algebra focuses on the mathematical analysis of vector spaces and linear transformations. This field covers a wide range of topics such as matrices, vectors, systems of linear equations, diagonalization, eigenvalues, eigenvectors, projections, geometric elements like points, lines, planes, hyperplanes, as well as operations like rotations and reflections.

Discovering the conversion of the camera matrix

Here is another inquiry regarding computer vision. The concept of a camera matrix, also known as a projection matrix, involves the mapping of a 3D point X from the real world to an image point x in a photograph using the equation: l **x** = P **X** Esse ...

Are eigenvectors in Numpy unreliable? Where did I make a mistake?

In order to perform certain calculations, I require an eigenvalue decomposition. Upon evaluating the functions of numpy, it has come to my attention that there is some unexpected behavior being exhibited! Consider the following code snippet: import numpy ...

Guide on creating a 4-point perspective transform with HTML5 canvas and three.js

First off, here's a visual representation of my objective: https://i.stack.imgur.com/5Uo1h.png (Credit for the photo: ) The concise question How can I use HTML5 video & canvas to execute a 4-point perspective transform in order to display only ...

Having trouble with implementing the Bilinear transformation code

Interested in experimenting with the bilinear transformation of a rectangle to a quad? Check out the details here: on page 4. The square coordinates are: (500,900)(599,900)(599,999)(500,999) While the quad coordinates are: (454,945)(558,951)(598,999)( ...

Creating a personalized Linear Operator for solving the equation Ax = b: A step-by-step guide

To efficiently solve Ax = b in Python where A is a large-scale dense Matrix of float64, I decided to create a custom linear operator. Here's the code snippet showcasing my approach: from numpy import ones from numpy.linalg import inv import scipy.sparse.li ...

Performing computations on large dense matrices using numpy

As I embark on training a neural network, I am faced with a significant challenge. I have a massive 212,243 × 2500 dense matrix labeled phi, along with vectors y (212243) and w (2500). These are stored as numpy arrays of double values. My goal is to calcu ...