Abstract: A guide start location is located in a guide segment of a guide track. The guide segment has a segment length. A part start location of a part corresponding to the guide start location is located. N phase correlations are performed between N successively overlapped part segments of the part from the part start location and the guide segment from the guide start location within a first interval. Each of the N successively overlapped part segments has the segment length. A best match is determined from the N phase correlations using a match threshold. The best match provides a first offset.

Abstract: A guide start location is located in a guide segment of a guide track. The guide segment has a segment length. A part start location of a part corresponding to the guide start location is located. N phase correlations are performed between N successively overlapped part segments of the part from the part start location and the guide segment from the guide start location within a first interval. Each of the N successively overlapped part segments has the segment length. A best match is determined from the N phase correlations using a match threshold. The best match provides a first offset.

Abstract: An embodiment is a method and apparatus to provide a technique to scale up an image. A first image at a first size is expanded to a second size in first and second dimensions. The second size is larger than the first size and includes the first size and interpolating positions. The expanded image is convolved with a two-dimensional finite-impulse response (FIR) filter having coefficients determined by a two-dimensional interpolating function to generate interpolated pixels at the interpolating positions. The interpolated pixels are part of an up-scaled image at the second size.