Search results
Results From The WOW.Com Content Network
Example C++ code for several 1D, 2D and 3D spline interpolations (including Catmull-Rom splines). Multi-dimensional Hermite Interpolation and Approximation, Prof. Chandrajit Bajaja, Purdue University; Python library containing 3D and 4D spline interpolation methods.
Bicubic interpolation can be accomplished using either Lagrange polynomials, cubic splines, or cubic convolution algorithm. In image processing , bicubic interpolation is often chosen over bilinear or nearest-neighbor interpolation in image resampling , when speed is not an issue.
In the mathematical field of numerical analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline. That is, instead of fitting a single, high-degree polynomial to all of the values at once, spline interpolation fits low-degree polynomials to small subsets of the ...
Another type of spline that is much used in graphics, for example in drawing programs such as Adobe Illustrator from Adobe Systems, has pieces that are cubic but has continuity only at most [,]. This spline type is also used in PostScript as well as in the definition of some computer typographic fonts.
In geometric modelling and in computer graphics, a composite Bézier curve or Bézier spline is a spline made out of Bézier curves that is at least continuous. In other words, a composite Bézier curve is a series of Bézier curves joined end to end where the last point of one curve coincides with the starting point of the next curve.
GNU plotutils is a set of free software command-line tools and software libraries for generating 2D plot graphics based on data sets. It is used in projects such as PSPP and UMLgraph, and in many areas of academic research, [1] [2] [3] and is included in many Linux distributions such as Debian. [4]
Cardinal spline example in 2D. The line represents the curve, and the squares represent the control points p k {\displaystyle {\boldsymbol {p}}_{k}} . Notice that the curve does not reach the first and last points; these points do, however, affect the shape of the curve.
The geometry of a single bicubic patch is thus completely defined by a set of 16 control points. These are typically linked up to form a B-spline surface in a similar way as Bézier curves are linked up to form a B-spline curve. Simpler Bézier surfaces are formed from biquadratic patches (m = n = 2), or Bézier triangles.