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Extension of cubic spline interpolation
In mathematics, bicubic interpolation is an extension of cubic spline interpolation (a method of applying cubic interpolation to a data set) for interpolating
Bicubic_interpolation
Method for estimating new data within known data points
include nearest-neighbor interpolation, bilinear interpolation and bicubic interpolation in two dimensions, and trilinear interpolation in three dimensions
Interpolation
Changing the resolution of a digital image
contrast (sharp edges) in a way that may be undesirable for line art. Bicubic interpolation yields substantially better results, with an increase in computational
Image_scaling
Interpolation on functions of more than one variable
interpolation Radial basis function interpolation Barnes interpolation Bilinear interpolation Bicubic interpolation Bézier surface Lanczos resampling Delaunay triangulation
Multivariate_interpolation
Method of interpolating functions on a 2D grid
pixels. Unlike other interpolation techniques such as nearest-neighbor interpolation and bicubic interpolation, bilinear interpolation uses values of only
Bilinear_interpolation
Cubic function used for interpolation
to functions of two or more parameters, in several ways. Bicubic splines (Bicubic interpolation) are often used to interpolate data on a regular rectangular
Cubic_Hermite_spline
Type of cardinal spline
_{k+2}\end{bmatrix}}} Cubic Hermite spline Centripetal Catmull–Rom spline Bicubic interpolation Bézier curve B-spline Kochanek–Bartels spline The product notation
Catmull–Rom_spline
Visual examples of techniques for image scaling
for others Orchard, M.T.; Li, Xin (September 2000). New Edge Directed Interpolation (PDF). Internation Conference on Image Processing. Proceedings of 2000
Comparison gallery of image scaling algorithms
Comparison_gallery_of_image_scaling_algorithms
Method for interpolating the pixels after enlarging an image
using any interpolation algorithm that is better than nearest-neighbor interpolation such as; bilinear interpolation, and bicubic interpolation. A common
Stairstep_interpolation
needed] Mathematics portal Image scaling Bilinear interpolation Bicubic interpolation Spline interpolation Lanczos resampling Comparison gallery of image
Directional cubic convolution interpolation
Directional_cubic_convolution_interpolation
Surface-approximation method
for repeated interpolations because each computational step must be repeated for each new location. Cubic interpolation Bicubic interpolation Trilinear interpolation
Tricubic_interpolation
Color reconstruction algorithm
interpolate independently within each color plane include bicubic interpolation, spline interpolation, and Lanczos resampling. Although these methods can obtain
Demosaicing
Technique in signal processing
{\displaystyle 0\leq x<1} . Bicubic interpolation Bilinear interpolation Spline interpolation Nearest-neighbor interpolation Sinc filter Turkowski, Ken;
Lanczos_resampling
Polynomials used for interpolation
Weisstein, Eric W. "Lagrange Interpolating Polynomial". MathWorld. Excel Worksheet Function for Bicubic Lagrange Interpolation Lagrange polynomials in Python
Lagrange_polynomial
Species of mathematical spline
as a triangle instead of a square. NURBS Computational geometry Bicubic interpolation Bézier curve Bézier triangle Biharmonic Bézier surface Farin, Gerald
Bézier_surface
Image processing methods
multivariate interpolation: Nearest-neighbor interpolation linear interpolation bilinear interpolation cubic interpolation bicubic interpolation Bézier surface
Video_post-processing
Compression method for digital images
Fractal interpolation maintains geometric detail very well compared to traditional interpolation methods like bilinear interpolation and bicubic interpolation
Fractal_compression
Family of lossless-compression image file formats
visible earlier in the transfer, particularly if interpolation algorithms such as bicubic interpolation are used. However, the 7-pass scheme tends to reduce
PNG
Filter used to construct a smooth analog signal from a digital input
averaging; bilinear interpolation, with kernel the tent filter; bicubic interpolation, with kernel a cubic spline – this latter has a free parameter,
Reconstruction_filter
Geometric transformation that preserves lines but not angles nor the origin
relocates pixels requiring intensity interpolation to approximate the value of moved pixels, bicubic interpolation is the standard for image transformations
Affine_transformation
Interlacing algorithm for raster images
more quickly in the early passes, particularly if interpolation algorithms such as bicubic interpolation are used. Adam7 is named after Adam M. Costello
Adam7_algorithm
dimensions: Bilinear interpolation Trilinear interpolation Bicubic interpolation Tricubic interpolation Padua points — set of points in R2 with unique
List of numerical analysis topics
List_of_numerical_analysis_topics
half-pixel, is achieved through interpolation. Different specific schemes are used in different designs: VC-1 uses bicubic interpolation. H.264/AVC uses a 6-tap
Quarter-pixel_motion
interpolated. Multivariate interpolation Bicubic interpolation: a generalization of cubic interpolation to two dimensions Bilinear interpolation: an extension of
List_of_algorithms
Technique in neural networks for learning joint representations of text and images
has 336×336 resolution), then the input image is first scaled by bicubic interpolation, so that its shorter side is the same as the native resolution,
Contrastive Language–Image Pre-training
Contrastive_Language–Image_Pre-training
Perception of image sharpness that is unrelated to actual resolution
resampling can also cause clipping and ringing artifacts. An example is bicubic interpolation, widely used in image processing for resizing images. One definition
Acutance
aliasing. Bicubic interpolation Extension of cubic interpolation to 2D, commonly used when scaling textures. Bilinear interpolation Linear interpolation extended
Glossary_of_computer_graphics
Technique for reducing low-resolution image distortion
multiple that is a power of 2 to reduce distortion), then using bicubic interpolation to determine the average intensity of each real pixel on the display
Spatial_anti-aliasing
Form of error in digital signals; spurious signals near sharp transitions
truncated sinc filter. Similarly, the convolution kernel used in bicubic interpolation is similar to a 2-lobe windowed sinc, taking on negative values
Ringing_artifacts
Computer graphics artifact
drastic pixelation. The most common solution is a technique called pixel interpolation that smoothly blends or interpolates the color of one pixel into the
Pixelation
Web browser for Windows released in 2009
of horizontal scrollbars on zooming. Image scaling is done using bicubic interpolation resulting in smoother looking images when scaled. Using the Compatibility
Internet_Explorer_8
Upscaling filters for pixel art graphics
and only uses either bicubic or bilinear interpolation as the fallback interpolation method. Another edge-directed interpolation filter. Works by minimizing
Pixel-art_scaling_algorithms
the corners. This forms a bicubically blended Coons patch. Surface Atlas (topology) Interpolation Transfinite interpolation Coons, Steven A. (June 1967)
Coons_patch
Technique in 3D computer graphics
do go to great lengths to rigorously show that the method converges to bicubic B-spline surfaces. It can be shown that the limit surface obtained by this
Catmull–Clark subdivision surface
Catmull–Clark_subdivision_surface
Barycentric coordinate system Beam tracing Bézier curve Bézier surface Bicubic interpolation Bidirectional reflectance distribution function Bidirectional scattering
List of computer graphics and descriptive geometry topics
List_of_computer_graphics_and_descriptive_geometry_topics
macroblock rows only) Contiguous or non-contiguous Sub-pixel interpolation methods bicubic, bilinear 6-tap filter for half pixels; averaging for quarter
Comparison_of_H.264_and_VC-1
between bilinear interpolation and bicubic interpolation for the grey level evaluation at non integer coordinates. The bi-cubic interpolation is the recommended
YaDICs
1969 law by Waldo Tobler
on inside." — Waldo Tobler Three forms of spatial interpolation. Nearest neighbor Bilinear Bicubic The theory is based upon the concept of the friction
Tobler's first law of geography
Tobler's_first_law_of_geography
Motion of a point in a flow
higher-dimensional linear interpolation is appropriate. Bicubic, tricubic, etc., interpolation is used as well, but is probably not worth the extra computational
Trajectory_(fluid_mechanics)
Filter in digital signal processing
for anti-aliasing or for scaling raster graphics. They are also known as bicubic filters in image editing programs because they are bi-dimensional cubic
Mitchell–Netravali_filters
visualization. Extrusion generation. Linear and Catmull-Rom path interpolation. Bicubic Bézier surfaces. Edge and silhouette enhancement. Virtual file system:
Visualization_Library
Video compression technique, used to efficiently predict and generate video frames
sub-samples can be calculated by using bicubic or bilinear 2-D filtering. See subclause 8.4.2.2 "Fractional sample interpolation process" of the H.264 standard
Motion_compensation
Generating high-resolution video frames from given low-resolution ones
calculates a residual image. Then the final result is gained by adding a bicubically upsampled input frame RRN (the recurrent residual network) uses a recurrent
Video_super-resolution
Red supergiant star in the constellation Orion
Object Camera. The images were oversampled by a factor of 5 with bicubic spline interpolation, then deconvolved. Cox, A.N., ed. (2000). Allen's Astrophysical
Betelgeuse
Video editing software
Improved the mp3 decoding. Video scaling is now either nearest neighbor or bicubic, but never linear. Proxy editing got a start before discovering modern
Cinelerra
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