The phrase "a different picture for" is correct and usable in written English.
It can be used when discussing a new perspective or interpretation of a situation or topic.
Example: "The recent data presents a different picture for the company's financial health than what we previously believed."
Alternatives: "an alternative view for" or "a new perspective on".
Would the BBC use a different picture for each release?
You should describe a different picture for them".
It was a different picture for the general public in his area, particularly once the Khmer Rouge took power.
Its research, based on official voting data released by precincts, tells a different picture for dominant Hispanic areas.
However, recent results obtained from aquaria experiments suggest a different picture for the early stages of wood colonization.
But it is a different picture for the Americans who slump to the greasy Gloucester turf.
But documents that have surfaced in a federal lawsuit over the use of the Great Lawn paint a different picture, of both the rationale for the administration's policy and the degree of Mr. Bloomberg's role in enforcing it.
This is not a book overly concerned with the suffering that white madness in Africa has caused others, and certainly there are black Zimbabwean writers like Tsitsi Dangarembga, Chenjerai Hove and Yvonne Vera whom one should read for a different picture of the political and personal in Zimbabwe.
A different picture unfolds for splittable flows as used in, e.g., SWAN: It is possible to decide quickly if a consistent migration is possible, but the migration time can be unbounded.
While her time as Secretary of State has served her well, more than her stretch as Senator, a hard look at the quality of her advice and accomplishments, in places like Afghanistan and Libya, might produce a different picture; but for the moment she's benefiting from some inspiring talk about women's education and human rights and a blur of images from an improbable number of foreign trips.
