Judaism
From the Old Testament:
Thou shalt not make unto thee any graven image, or any likeness of any thing that is in heaven above, or that is in the earth beneath, or that is in the water under the earth: (Exodus, 20)
Referring to the golden calf, Jews worshiped in Moses absence.
The statue of the golden Calf properly was inherited from the Egyptian God “Apis” which is in the form of an ox symbolise strength, in the later Bible stories the quality of the Jewish kings and judges were measured by their fights against idolatry.
Christianity
In 787 Empress Irene issued a law called “idolatry conviction”.
In the 9th century empresses Theodora issued a law allowing the use of two dimensional statues and icons while in Rome the Church was allowing the use of three dimensional statues.
Islam
There is nowhere in the Quran says: imaging the profits is forbidding, much of this believe comes from Mohammad’s life and his quotes.
By the Sunnis imaging the profit Mohammad or the four orthodox caliphs is absolutely forbidden, in some Sunni sects (ie Wahhabi) anything symbolizes the dead will be considered idolatry (Saudi Arabia……no cemeteries), the Islamists in Egypt consider the pyramids as idolatry also.
You can compare Shiia to Catholics, Shiia use images and portraits of their religious men in their holy cities Najaf, Karbala (Iraq), Qom (Iran).
There also portraits of Mohammad and Jesus in he city of Qom…Iran.
Useful links
1– Muhammad in the Bible (Muslims think that Mohammad was mentioned the Bible).
2– Virgins? What virgins? (Old article from 2002 but it a very good written by Ibn Warraq reveals the truth behind the virgins in paradise)