in this paper we present a new method for tool-path generation and adaptive interpolation for a three-axis cnc milling machine. this method satisfied the force and / or the error conditions by using a variable-direction variable-feedrate strategy based on maximum feedrate map. the proposed adaptive interpolator modifies the cutting path and the moving direction according to the actual instantan...

The current implementation of Thiele rational interpolation in Maple (the Thieleinterpolation routine) breaks down when the points are not well-ordered. In this article, it is shown how breakdown can be avoided by ordering an adaptive way.

various methods for parametric interpolation of nurbs curves have been proposed in the past. however, the errors caused by the approximate nature of the nurbs interpolator were rarely taken into account. this paper proposes an integrated look-ahead algorithm for parametric interpolation along nurbs curves. the algorithm interpolates the sharp corners on the curve with the pythagorean-hodograph ...

Image interpolation is a procedure used in expanding and contracting digital images. Image interpolation is referred by various terminologies such as image scaling, image resizing, image resampling, digital zooming, image magnification or enhancement. Image interpolation is widely used in many consumer application devices such as charge-coupled device (CCD) camera, closed circuit television (CC...

Translation-invariant interpolation of frequency domain functions by means of Fourier transforms of Pólya frequency functions, which belong to the Bochner class of interpolation kernels, is presented. For the implementation, we use an adaptive interpolation process which is a variant of the recently introduced adaptive residual subsampling method. Moreover, it is shown that adaptive residual su...

The problem of digital signal and image resampling with discrete sinc interpolation is addressed. Discrete sine interpolation is theoretically the best one among the digital convolution-based signal resampling methods because it does not distort the signal as defined by its samples and is completely reversible. However, sinc interpolation is frequently not considered in applications because it ...

We consider the problem of image interpolation from an adaptive optimal recovery point of view. Many different standard interpolation approaches may be viewed through the prism of optimal recovery. In this paper we review some standard image interpolation methods and how they relate to optimal recovery as well as introduce a broader, more general and systematic approach to image interpolation u...

In this paper, a simple adaptive interpolation approach is proposed for image interpolation. It depends on modifying the warped distance technique for image interpolation considering the local activity levels in each region of the image. This is performed by weighting the pixels used in the interpolation process with different adaptive weights. The adaptation can be extended to different tradit...