Definitions

1. Linear interpolation is a method of curve fitting using linear polynomials.
2. Linear interpolation is the form used most frequently, which assumes that the function f(x) is linear.
3. Linear interpolation is a process employed in mathematics, and numerous applications including computer graphics.
4. Linear interpolation is a way to fill in the ``holes'' in tables.
5. Linear interpolation is often used to approximate a value of some function f using two known values of that function at other points.

Piecewise Polynomial Interpolation

1. Cubic spline interpolation, and piecewise polynomial interpolation in general, are instances of linear interpolation.

Secant Method

1. Using linear interpolation instead of quadratic interpolation gives the secant method.

Piecewise Linear Interpolation

1. The simplest piecewise polynomial interpolation is piecewise linear interpolation where linear polynomials are used on each interval.

Probability

1. The probability of a larger test statistic is obtained by linear interpolation within the range of simulated critical values given by Stephens (1974).

Precise

1. The following error estimate shows that linear interpolation is not very precise.
2. Although linear interpolation is quick and easy, it is not very precise and the interpolant is not differentiable at the point xk.

Exponential Function

1. This models the exponential function as well as a lookup table with linear interpolation, but is significantly faster and more compact.

Simplest

1. One of the simplest methods is linear interpolation (sometimes known as lerp).

Astronomical Data

1. Linear interpolation has been used since antiquity for filling the gaps in tables, often with astronomical data.

Extension

1. Trilinear filtering is an extension of the bilinear texture filtering method, which also performs linear interpolation between mipmaps.

Generalization

1. Polynomial interpolation is a generalization of linear interpolation.

Values

1. This method uses piecewise linear interpolation based on the values of the nearest eight points.

Texture Coordinates

1. Once the simulation is over, linear interpolation of texture coordinates on each face completes the texturing of the implicit surface.

Vertices

1. In a typical implementation, vertices of an isosurface is assigned on edges of cells by the linear interpolation between values of two vertices of the edges.

Polygon

1. Finally, each polygon is shaded by linear interpolation of vertex intensities along each edge and then between edges along each scan line (Fig.

Simplest Form

1. Linear spline interpolation is the simplest form of spline interpolation and is equivalent to linear interpolation.

Certain Points

1. In numerical analysis a linear interpolation of certain points that are in reality values of some function f is typically used to approximate the function f.

Pixel

1. It assigns color to every pixel within each polygon based on linear interpolation from the polygon's vertices.
2. The color of each pixel is determined by linear interpolation of colors assigned to individual vertexes using a method called smooth shading.

Probability Value

1. If the value is between two probability levels, then linear interpolation is used to estimate the probability value.

Smoother

1. Like polynomial interpolation, spline interpolation incurs a smaller error than linear interpolation and the interpolant is smoother.

Interpolation

1. Piecewise Linear interpolation is one of the simplest methods used for interpolation.

Variables

1. In the variables in which lost information surpassed 20%, we decided to impute values by means of the SPSS Program (linear interpolation).

Unknown Function

1. The secant method also arises if one approximates the unknown function f by linear interpolation.

Linear Function

1. In linear interpolation, the interpolant is a linear function.
2. Remember that linear interpolation uses a linear function for each of intervals [ x k, x k+1].

Linear Interpolation

1. Gouraud shading [Gouraud, 1971], computes the intensity at each point by linear interpolation of the intensities at the vertices.
2. In mathematics, bilinear interpolation is an extension of linear interpolation for interpolating functions of two variables on a regular grid.
3. A very simple method is to use linear interpolation, which assumes that the unknown function is linear between every pair of successive points.

Categories

1. Polynomial Interpolation
2. Linear Function
3. Gouraud Shading
4. Unknown Function
5. Intensities
6. Books about "Linear Interpolation" in Amazon.com
   

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