One of the method of quantization is to quantize pixels in spatial domain (i.e. without transforming). For example, HEVC supports so called “transform skipping mode“, i.e. the transform can be skipped fully quantization is performed in spatial domain.
If quantization is uniform with a step size b, the quantization error for a digital image may be approximated as a uniformly distributed signal with zero mean and a variance of b2/12 .
For example, if the step-size b=2 then the variance of the quantization error is 4/12=0.3 .
Let’s consider the uniform quantization of an input image pixel-by-pixel by the step-size b=2. According to Chebyshev’s inequality (this inequality does not require any assumption on the distribution of a random variable):
the probability of quantization error exceeding the magnitude 2:
P(|QError| ≥ 2) ≤ = 0.075
In other words, with quantization with the step-size b=2, not more than 7.5% of pixels in an image would exceed their original values by 2 or higher after the quantization.
23+ years’ programming and theoretical experience in the computer science fields such as video compression, media streaming and artificial intelligence (co-author of several papers and patents).
the author is looking for new job, my resume
Keep up the great piece of work, I read few articles on this web site and I believe that your site is very interesting and has got bands of fantastic info .
Hi, Neat post. There is a problem with your site in internet explorer, could test this?K IE still is the market chief and a huge portion of other people will miss your wonderful writing because of this problem.
I want to show my thanks to you for bailing me out of this particular setting. Right after looking throughout the world wide web and obtaining things which are not productive, I thought my life was over. Being alive devoid of the approaches to the issues you have resolved all through your entire post is a crucial case, and the ones that could have in a wrong way affected my career if I hadn’t noticed your web blog. Your main capability and kindness in maneuvering every item was priceless. I am not sure what I would have done if I had not come across such a stuff like this. It’s possible to at this time relish my future. Thanks very much for this impressive and sensible guide. I will not be reluctant to refer the sites to anyone who would need care on this issue.
My brother suggested I might like this website. He was entirely right. This post truly made my day. You can not imagine simply how much time I had spent for this info! Thanks!
You actually make it seem so easy with your presentation but I find this matter to be really something that I think I would never understand. It seems too complex and extremely broad for me. I’m looking forward for your next post, I’ll try to get the hang of it!
Undeniably believe that which you stated. Your favorite reason appeared to be on the net the easiest thing to be aware of. I say to you, I definitely get annoyed while people think about worries that they plainly do not know about. You managed to hit the nail upon the top as well as defined out the whole thing without having side effect , people could take a signal. Will likely be back to get more. Thanks
Hi there very nice web site!! Guy .. Excellent .. Amazing .. I will bookmark your web site and take the feeds additionally…I am satisfied to find numerous useful information here in the publish, we want work out extra techniques on this regard, thank you for sharing. . . . . .
You actually make it appear really easy with your presentation however I find this matter to be actually one thing that I believe I might by no means understand. It seems too complex and very wide for me. I am looking forward in your next submit, I?¦ll attempt to get the cling of it!
Can I just say what a relief to seek out somebody who truly knows what theyre speaking about on the internet. You definitely know the best way to carry an issue to light and make it important. Extra individuals have to read this and understand this aspect of the story. I cant consider youre not more fashionable because you positively have the gift.
Sweet website , super layout, real clean and use pleasant.