In a review paper, you can reproduce parts of the articles you are reviewing, with proper citations.
Redrawing and reproducing images are different issues. The answers may vary in according to each country law, but I'm trying to give a general outline.
Information is free while its creative expression is protected by copyright. Therefore, you can take information from published images and draw your own, just as you can take information from an article and write your own text including that information. The resulting image is your own work, and the need to cite your source is mandatory in academia because of intellectual honesty, not because of copyright. However, your image wouldn't be your work if you had copied creative elements of the original work, just as a text is not your work if you copied sentences from someone else's work.
In the other hand, there are situations where you are allowed to reproduce other people's works. In the United States, fair use doctrine apply when limited reproduction of a work is justified and it doesn't cause an unfair prejudice to the copyright owner - copying for review purposes would fall into this category. Other countries have a more restricted right to quote which allows the cite of a part of a work for critics, review or discussion. Usually this right is extended to images and review papers would perfectly fit its purpose.