Search Results

Definition Matrix Exponentiation: Raising a matrix to a power greater than one, as in �2A2 or ��An, is not a linear transformation. The composition of linear transformations is not equivalent to matrix exponentiation. Matrix Logarithm: Taking...

Dot Product Dot Product can be used to  Find out if vector point in the same direction, perpendicular, or opposite.  Project one vector onto another Find the angle between two vectors Requirements for Dot Product Input: Two Vectors Must have the s...

TEKsystems - Apple Synthetic Data Software Engineer - our client makes the newest technologies accessible to create amazing user experiences. You will have the opportunity to work in a multi-functional team to provide synthetic character data to develop inn...

We’re looking for an outstanding Lead Technical Artist to join us on an exciting unannounced science fiction game! You'll head up a team building the art tools and pipelines required for a AAA game based on the latest Unreal technology. As a leader you will pa...

NVIDIA is looking for a highly motivated and experienced 3d Animation Software Engineer to join the Digital Human Technology team! We are looking for an engineer to support and contribute to the productization of innovative digital human animation solutions. T...

Scalar (numbers) fulfill two requirements: Real number that can be used to measure a continuous one-dimensional quantity. Examples: Must have no direction

3D Cartesian Coordinate System Properties: x-axis is the horizontal axis y-axis is the vertical axis  z-axis is axis perpendicular to the x-y plane, pointing outward or inward. Look into left hand and right hand rule The point of intersection of...

Input: At least 2 vectors  Output: One Vector  2D Example  vector addition is the only time we let vectors stray from origin  Vector addition is a fundamental operation in linear algebra and is widely used in technical art, particularly in computer g...

Formula  Input: Scalar (Number) and a vector Output: Vector  Stretching out the vector twice as long as it started Vector multiplication plays a crucial role in various aspects of computer graphics and technical art. Here are some application...

If you do not constrain i hat or j hat, then its possible to reach any point of the coordinate system.  if both are 0, then its stuck in origin.  Basis Vectors vs Normalized/Unit Vectors Basis Vectors: Basis vectors are a set of vectors that form...

Prereq: Linear Combination, Vector Addition, Vector Multiplication Span is the collection of all possible linear combinations of two vectors, in our case, a 3d space.  This is span of two 3D Vectors is an infinite plane 2 Vectors 3 Vectors Linear Depende...

Prereq: Vector addition, Vector multiplication

In order to describe the effects of multiple sequential matrix transformation, such as a rotate and then a shear, we use matrix multiplication on those individual matrices to create a new matrix, called composition, to perform the action at once.  ...

Determinant is the scaling factor that if the linear transformation changes any area   Scaling changes the area    Skewing does not change the area    Left hand right hand rule is involved

A system of equations consists of unknown variables and  list of equations relating them.  A Linear System of Equations fulfill the following: The list of variable (xyz) is scaled by some constant number The only thing happening to each variable is that t...

Prereq: Determinant  Input: 2 Vectors Output: 1 Vector P is the vector perpendicular to the parallelogram Use the hand rule to determine which way the perpendicular vector points. The thumb is where it points. (positive, in this case)  Be aware that dif...

Graphics Pipeline is an abstract model that describes sequence of steps needed to render a 3D scene.  asynchronous operation -  The CPU sends rendering commands to the GPU, which then perform rendering operations while the CPU continues with other tasks VRAM...

basis vectors, linear transformations, matrix multiplications, inverse When changing basis, Origin (0,0) will always remain the same on both spaces This is a standard 90 degree rotation matrix with i hat and j hat equal to 1     

Prereq: Change of Basis, Determinants, Linear Transformation, Linear Systems of Equations, span