In this paper, we present a method to combine lapped transforms with various downsampling factors. The factor is changed depending on a local feature of a given signal, and it can be realized by using time-domain lapped transforms. In image coding application, our method maintains good image coding performance for a wide range of bitrates and fills the gap between undersampled and critically-/oversampled systems.

In recent years, several reversible contrast-enhancement methods for color images using digital watermarking have been proposed. These methods can restore an original image from a contrast-enhanced image, in which the information required to recover the original image is embedded with other payloads. In these methods, the hue component after enhancement is similar to that of the original image. However, the saturation of the image after enhancement is significantly lower than that of the original image, and the obtained image exhibits a pale color tone. Herein, we propose a method for enhancing the contrast and saturation of color images and nearly preserving the hue component in a reversible manner. Our method integrates red, green, and blue histograms and preserves the median value of the integrated components. Consequently, the contrast and saturation improved, whereas the subjective image quality improved. In addition, we confirmed that the hue component of the enhanced image is similar to that of the original image. We also confirmed that the original image was perfectly restored from the enhanced image. Our method can contribute to the field of digital photography as a legal evidence. The required storage space for color images and issues pertaining to evidence management can be reduced considering our method enables the creation of color images before and after the enhancement of one image.

Reversible variable length codes (RVLCs), which make instantaneous decoding possible in both forward and backward directions, are exploited to code data stream in noisy enviroments. Because there is no redundancy in code words of RVLCs, RVLCs are suitable for very low bit-rate video coding. Golomb-Rice code, one of variable length code for infinite number of symbols, is widely used to encode exponentially distributed non-negative integers. We propose a reversible variable length code by modifying Golomb-Rice code, which is called parity check reversible Golomb-Rice code and abbreviated to P-RGR code. P-RGR code has the same code length distribution as GR code but can detect one-bit error in any arbitrary position of the code stream. The sets of P-RGR code words in both directions are identical so that they can be constructed by nearly the same algorithm. Furthermore, this paper also gives a general construction method for all instantaneously decodable RGR codes.