Topic
Bicubic interpolation
About: Bicubic interpolation is a research topic. Over the lifetime, 3348 publications have been published within this topic receiving 73126 citations.
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TL;DR: The program will either produce the rational interpolation of the data (xj,fj),j=0,...,L+M by a (generalized) continued fraction or state that the interpolation is not feasible because there are unattainable points.
Abstract: This note contains a program for rational interpolation with degree of numerator equal toL and of denominator equal toM (forL≥M). The program will either produce the rational interpolation of the data (x
j,f
j),j=0,...,L+M by a (generalized) continued fraction or state that the interpolation is not feasible because there are unattainable points. We use the algorithm given in [2] and incorporate the reordering of data for numerical stabilisation due to Graves-Morris [1]. The reordering may be suppressed. The performance of the program is illustrated by several examples.
13 citations
TL;DR: To acquire a large amount of image information by using a relatively low-sampling-rate electronic digitizer, an anti-aliasing technique based on optical time-division multiplexing is proposed and can be clearly distinguished after using the proposed technique.
Abstract: Serial time-encoded amplified microscopy (STEAM) is a novel ultrafast imaging technique that is based on space-to-time-to-wavelength mapping. Nevertheless, the technique requires a high-cost electronic digitizer of several tens of gigahertz sampling rate to read out sufficient image information. To acquire a large amount of image information by using a relatively low-sampling-rate electronic digitizer, an anti-aliasing technique based on optical time-division multiplexing is proposed. A 38.88 MHz line-scan imaging system is demonstrated experimentally. By using the proposed anti-aliasing technique, a 20 GS/s sampling rate is achieved by employing a 10 GS/s electronic digitizer. Defects and scratches on the target that were not identifiable originally can be clearly distinguished after using the proposed technique. Numerical analysis shows that the image quality can be improved by 4.16 dB, compared to that not using the anti-aliasing technique and at least 2.3 dB comparing to those obtained by bilinear, bicubic, and nearest-neighbor interpolation and Lanczos resampling techniques.
13 citations
TL;DR: A local Lagrange interpolation scheme for quartic C^1 splines on triangulations is developed and an algorithm for constructing Lagrang interpolation points such that the interpolation method is local, stable and has optimal approximation order is described.
13 citations
Patent•
06 May 2004TL;DR: In this paper, a method and apparatus for video sample interpolation with edge sharpening was proposed, whereby edge sharpness can be essentially preserved and/or enhanced in the interpolated image.
Abstract: A method and apparatus for video sample interpolation with edge sharpening, whereby edge sharpness can be essentially preserved and/or enhanced in the interpolated image. Image interpolation for an original two dimensional image is conducted along the horizontal and vertical directions separately using a 1D digital filter. In interpolating a new sample in the image, the digital filter is first used to obtain a temporary interpolation value for the new sample. Then, an appropriate amount of edge enhancement is calculated for the new sample location. The enhancement value is combined with the temporary interpolation value to result in a final interpolation value for the new sample.
13 citations
02 Jul 1997
TL;DR: In this paper, a shape-based interpolation technique using the distance transform and morphological concept is presented, and experimental results of interpolation and 3D reconstructed surfaces for synthetic, CT and MRI slice images are given.
Abstract: Shape-based interpolation is an important technique in the area of three dimensional reconstruction from cross-sectional images. A shape-based interpolation technique using the distance transform and morphological concept is presented. Experimental results of interpolation and 3D reconstructed surfaces for synthetic, CT and MRI slice images are given.
13 citations