'Fixed angles' presentation slideshows

Orientation Representation

Orientation Representation. Jim Van Verth NVIDIA Corporation ( jim@essentialmath.com ). Topics Covered. What is orientation? Various orientation representations Why quaternions rock. Orientation vs. Rotation. Orientation is described relative to some reference frame

557 views • 55 slides

Computer Animation Algorithms and Techniques

Computer Animation Algorithms and Techniques. Technical Background. Spaces and Transformations. Left-handed v. right handed Homogeneous coordinates: 4x4 transformation matrix (TM) Concatenating TMs Basic transformations (TMs) Display pipeline. Display Pipeline. Object Space Data.

395 views • 26 slides

ORIENTATION

ORIENTATION. Interpolating rotations is difficullt. Use Quaternions. Object Representation. Define object in world space Object space data Translation Rotation Scale. Desired operations Interpolation Concatenation. Handle rotation, translation, scale independently. <= repeat.

264 views • 26 slides

Transformations and Euler Angles

Transformations and Euler Angles. Sebastian van Delden USC Upstate svandelden@uscupstate.edu. Homogeneous Transformations. A 4x4 matrix that represents general transformations. Transformation Equations. Consider the following transformations:

786 views • 20 slides

Display Pipeline

Display Pipeline. Viewing pipeline. Viewing Pipeline. Transformation between spaces. Object space. transformations. transformations. World space. Eye space. Map to eye space. perspective. Clipping space. Perspective divide. Image space. Viewport mapping. Screen space. Ray Tracing.

384 views • 18 slides

Technical Background

Technical Background. Display pipeline. Transformations and round-off errors. Orientation representation. Quaternions. Viewing Pipeline. Transformation between spaces. Object space. transformations. transformations. World space. Eye space. Map to eye space. perspective.

186 views • 18 slides

Maths and Technologies for Games Quaternions

Maths and Technologies for Games Quaternions. CO3303 Week 1. Representing Rotations. We have used two methods to store a rotation :. A matrix: Can just use 3x3 matrix for rotation Used these in DirectX. Three Euler/Fixed angles: X, Y & Z, (or yaw, pitch & roll)

279 views • 14 slides

Orientation

98 views • 8 slides