Classical image scrambling transformation based on high dimension matrix transformation

which is represented by high dimension Arnold transformation or high dimension Fibonacci Q transformation

is capable of preferable security and can change the gray characteristic of the scrambled image

however，there exists some deficiency in practice

such as the long restorable period and not having the full diffuse ability to attacks. To address these problems

in this paper

based on high dimension matrix transformation

an avalanche image scrambling transformation is constructed

which scrambles the original image by inverse transformation and recovers the scrambled image by obverse transformation in order to cut down the iterative times from the scrambled image to the recovered image. Simultaneously

theory and experiments show its strong fragility under attacks and can be used to construct fragile watermarking to ensure digital productions integrality certification.