Given a projection matrix m, it’s null space is the camera center. Why? Because every point on a specific ray that is projected through projection line of the camera center has to land on the same spot on the image, so that means that the camera matrix times the center point mustContinue Reading
Every rigid body has 6DOF potential in 3D space. One point has to be fixed to an x,y,z location – so that holds the first 3 DOF. The vector from it to any given point in the rigid object has to be constant in the z axis – because theContinue Reading
The Karatsuba algorithm is a fast multiplication algorithm of two (works better for large) n-digit numbers(x and y),using three multiplications of smaller numbers(about half as many digits as x or y), plus some additions and digit shifts. The steps are: For any positive integer less than (string length): where and are less than .Continue Reading
* Support vector machines analysis are supervised learning models that analyze data, and are used for classification analysis and regression analysis. * The minimization function is the error of how much misclassified points are there in the model(graph), (either inside the margins or of course outside of them), and alsoContinue Reading
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Similarity – pixels should look alike (image patch on the left should look like the image patch on the right). Assumptions: Most scene points visible in both views. Image regions for matches are similar in appearance. Tactics- Do a dense correspondence by first: Normalize images to same standard deviation ofContinue Reading
Transforming a signal from a function of time or space to frequency(ω) which holds within it’s unique (ω) key also the respected phase(φ) and a respected amplitude/magnitude (A), is called a fourier transform. This is possible because any signal can be represented as a sum of sinusoids. f(x) –> TransformContinue Reading
A displacement vector is a vector whose length is the shortest distance from the initial to the final position of an object: s= xf-xi = Δx Hough-R(r)-Table: 1: Compute r (instead of s but basically the same): r= c(center of object) – p(i)(point number i) 2:measure the gradient angle θContinue Reading
Circle equation = (x-a) ²+ (y-b)²= r² (a,b is the center and r is the radius) Circle Hough Space is represented using a as the horizontal axis and b as the vertical axis. Each point from x,y is represented in hough space using its a,b as center of the circle,Continue Reading
Formula of the line is: xcos(θ ) – ysin(θ ) = d d(distance) = Perpendicular distance from origin(reference point) to a line. θ(angle) = Angle of the perpendicular line makes with the x axis (reference direction). Continue Reading
Yair Shinar for Clarity and Solutions