Koizumi-Type Interpolation Theorem and Extrapolation Estimates

On the Range Space of Yano’s Extrapolation Theorem and New Extrapolation Estimates at Infinity

Noise sensitivity of interpolation and extrapolation matrices.

The noise sensitivity of interpolation and extrapolation matrices is investigated. For certain bandwidth and truncation parameters, the interpolation matrix is shown to yield results at a lower noise level than the input data. The input noise level, however, can be lowered by filtering the result. The noise level in the interpolated interval is shown to be lower near where the image is known. T...

Interpolation and Extrapolation in Color Systems

KAKODKAR, ATISH PANDURANG. Interpolation and Extrapolation in Color Systems. (Under the direction of Prof. Sarah A. Rajala and Prof. H. Joel Trussell.) With the increased use of color in desktop publishing applications has come a desire for greater control of the color quality. Colorimetric reproduction requires calibrated color output devices. One approach to color calibration is to characteri...

Interpolation and extrapolation of motion capture data

The author proposes a computer-graphic animation tool through which the relationship between human motions and subjective impressions can be quantitatively examined. In the system, the three-dimensional human motion was measured with a wireless magnetic motion capture system with a pair of data gloves. The time-series changes of each joint angle were estimated through the measured data, using a...

Interpolation and Range Extrapolation of Hrtfs

The Head Related Transfer Function (HRTF) characterizes the scattering properties of a person’s anatomy (especially the pinnae, head and torso), and exhibits considerable person-to-person variability. It is usually measured as a part of a tedious experiment, and this leads to the function being sampled at a few angular locations. When the HRTF is needed at intermediate angles its value must be ...