Concepts inPose-independent simplification of articulated meshes
Polygon mesh
A polygon mesh or unstructured grid is a collection of vertices, edges and faces that defines the shape of a polyhedral object in 3D computer graphics and solid modeling. The faces usually consist of triangles, quadrilaterals or other simple convex polygons, since this simplifies rendering, but may also be composed of more general concave polygons, or polygons with holes. The study of polygon meshes is a large sub-field of computer graphics and geometric modeling.
more from Wikipedia
Quadric
In mathematics, a quadric, or quadric surface, is any D-dimensional hypersurface in (D + 1)-dimensional space defined as the locus of zeros of a quadratic polynomial. In coordinates {x1, x2, ... , xD+1}, the general quadric is defined by the algebraic equation which may be compactly written in vector and matrix notation as: where x = {x1, x2, ...
more from Wikipedia
Probability distribution function
Depending upon which text is consulted, a probability distribution function is any of: a probability distribution function, a cumulative distribution function, a probability mass function, or a probability density function. The similar term probability function may mean any of the above and, in addition, a probability measure function, as in a probability space, where the domain of the function is the set of events.
more from Wikipedia
Kinematics
Kinematics is the branch of classical mechanics that describes the motion of points, bodies (objects) and systems of bodies (groups of objects) without consideration of the forces that cause it. The term is the English version of A.M. Ampère's cinématique, which he constructed from the Greek ¿¿¿¿¿¿, kinema (movement, motion), derived from ¿¿¿¿¿¿, kinein (to move). The study of kinematics is often referred to as the geometry of motion. (See analytical dynamics for more detail on usage).
more from Wikipedia
Expected value
In probability theory, the expected value (or expectation, or mathematical expectation, or mean, or the first moment) of a random variable is the weighted average of all possible values that this random variable can take on. The weights used in computing this average correspond to the probabilities in case of a discrete random variable, or densities in case of a continuous random variable.
more from Wikipedia
Metric (mathematics)
In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but not all topologies can be generated by a metric. A topological space whose topology can be described by a metric is called metrizable.
more from Wikipedia
Linear combination
In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). The concept of linear combinations is central to linear algebra and related fields of mathematics.
more from Wikipedia
Probability
Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we are not certain. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The certainty we adopt can be described in terms of a numerical measure and this number, between 0 and 1, we call probability.
more from Wikipedia