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Analog signal sampling is one of the most fundamental topics in engineering sciences. The classical Shannon theorem is proposed for the band-limited signals, and so far it has been a cornerstone in signal processing and communication theory. In this work, we present a group of local time domain theorems for sampling differentiable continuous analog signals through Lagrange interpolation, and show...
There are many methods for compressing color images nowadays and most of them are lossy. However, in many important situations, lossless color image compression is irreplaceable. In this paper, we propose an efficient lossless color image compression framework. In this framework, for an RGB image, it is first decorrelated via a reversible color transform. In the new color space, the color components...
Image rotation is an important part of image processing for its wide range of uses. High precision and stability are demanded in many fields, and subtle errors may cause completely different judgment. With conventional three interpolation approaches: nearest, bilinear and bicubic, they cannot reach accuracy requirement. Using Hermite method appears to be accurate in most cases, but it's accuracy is...
Image rotation is a basic operation in many image processing and analysis tasks. It can be viewed as an image interpolation problem. In this paper, we propose a new approach to this problem using radial basis function (RBF). There are two advantages of this approach. One is that by using RBF basis functions locally, image local features can be very accurately captured, thus providing a highly adaptive...
Image reversible data hiding is the process of embedding information in an image in a visually imperceptible way with the result that both the original image and the embedded information can be exactly recovered. In the traditional approaches of histogram shifting and causal window-based difference/prediction-error expansion, pixel value prediction methods have been rather crude and simple. In this...
High image quality and efficiency are usually conflicting goals in texture mapping, especially for real-time rendering. Mipmap is a typical texture filtering method for texture mapping. Due to simplicity and efficiency, it has been popularly used in current graphics hardware. However, its implementation efficiency is at the cost of image rendering quality. In this paper, we first present an improved...
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