1. Child Pages

# Child Pages

 2D Coordinate RotationA 2D coordinate can be easily rotated by around another point to give the new rotated point with the equation:         The angle is positive for a counter-clockwise rotation. You may notice that the coordinate is translated as if  was the origin, the rotation transformation is applied, and then it is translated … Continue reading 2D Coordinate Rotation Affine TransformationsThe transformation matrix, translation, rotation, reflection, shear, combining transformations and more info on affine transformations. Analytical GeometryHow to check if a point is inside a rectangle. Circle GeometryInscribed angle: An angle made from points sitting on the circles circumference. An inscribed angle is half the central angle. When keeping the end points fixed, an inscribed angle is always the same, no matter where the vertex is. The angle inscribed in a semicircle is always a right-angle. A cyclic quadrilateral has four verticies … Continue reading Circle Geometry Linear ProgrammingAn overview of linear programming, plus a worked example using the GNU Linear Programming toolKit (GLPK). Perlin NoiseInformation, code libraries and more info about Perlin noise. Projective TransformationsContentsOverviewPlane To Image ProjectivityQuad-To-Quad Projection Overview Perspective projection is a particular type of projection where all the rays of the projection pass through a single point. This puts constrains on the form of the matrix $$\mathbf{P}$$. A perspective projection has the form: $$\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix} = \mathbf{P} \begin{bmatrix}X\\Y\\Z\\S\end{bmatrix}$$ where: $$(x_1,x_2,x_3)^\top$$ are … Continue reading Projective Transformations

Posted: September 4th, 2013 at 7:51 pm
Last Updated on: October 31st, 2017 at 5:35 am