Colour to grey scale and related transforms

每年制作的彩色图像的灰度级复制品数量数以百万计。通过我们的研究，我们的目标是制作更多好的灰度打印。现在使用彩色数码相机捕捉图像并将其显示在彩色监视器或彩色喷墨打印机上越来越普遍。然而，仍然有许多情况下彩色图像是以灰度重现的。黑白打印机、复印机和传真机的使用仍然是每天都会发生的事情。不幸的是，通过这些设备或通过其他方式将彩色图像转换为其灰度级等效值通常导致图像的较差再现。我们研究的目的是开发一种方法，通过仔细考虑我们自己视觉系统的局限性，并通过利用彩色图像形成的潜在物理原理，来获得可能的最佳彩色图像的灰度级再现。通常，给定图像点的颜色由三个数字编码，在灰度变换中，这三个数字被简化为只有一个灰度值。更一般地，颜色信息可以使用N(其中N^gt；>3个)数字来编码，并且在这种情况下，能够导出将这N个数字减少到3或更少的方法是有用的，从而可以在传统成像技术上显示所记录的N维信息。我们将扩大我们的研究范围，也考虑到这样的情况。我们的研究将改进灰度设备上图像的复制(例如，改进的复印和传真)，并使我们能够更好地可视化例如卫星图像中包含的信息。我们还希望利用我们开发的技术来制作彩色图像，让色盲观察者可以毫无错误或混淆地观看。此外，这项工作将改进现有的图像处理算法，并更好地理解我们自己的视觉系统如何感知颜色和亮度信息。

Every year, millions of poor grey scale reproductions of colour images are made. Through our research we aim to make millions more good grey scale prints.It is now increasingly common to capture images using colour digital cameras and display them on colour monitors or using colour inkjet printers. However, there are still many occasions when colour images are reproduced in grey scale. The use of black and white printers, photocopiers and fax machines is still an every day occurrence. Unfortunately, the conversion of colour images to their grey scale equivalent, either by these devices, or through other means, often results in a poor reproduction of the images. The aim of our research is to develop a method to derive the best possible grey scale reproduction of a colour image, by a careful consideration of the limitations of our own visual system, and by exploiting the underlying physics of colour image formation. Usually, the colour at a given image point is coded by three numbers, and in the grey scale transformation these three numbers are reduced to just one grey value. More generally, colour information might be coded using N (where N>3) numbers, and in this case it is useful to be able to derive methods to reduce these N numbers to 3, or fewer, so that the N-dimensional information recorded can be displayed on conventional imaging technology. We will extend our research to also consider such cases. Our research will lead to the improved reproduction of images on grey scale devices (e.g. improved photocopying and faxing) as well as providing us with the ability to better visualise the information contained in, for example, satellite images. We also expect that it will be possible to exploit the technology we develop to make colour images that can be viewed without error or confusion, by colour-blind observers. In addition, the work will lead to improvements in existing image-processing algorithms, and to a better understanding of how our own visual system perceives colour and brightness information.