plagiarism - Does copying the book's figure for my dissertation fit the copyright?

I'm writing my dissertation and I have drawn a diagram explaining how a algorithm works. Recently, I've found an ebook, legally obtained, illustrating the same algorithm, but with more details and better drawing.

Is it ok to use their figure instead of mine if I properly give the source?

Here is the copyright rules (highlight is mine):

The Author(s) 2014
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.

I'm asking because of the highlighted excerpt:

Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

I think my dissertation fits the "reviews or scholarly analysis" rule, so is it ok? This juridical part is very delicate.

Update
I have contacted the book's author; he was really nice and said that there are no problems of using his illustration. But, he advised me to contact the publisher (he even pointed me a page to do that). As the page was not working well, I sent an email to the publisher's staff to which they answered asking me some information:

• your name, address, and email address;


• ISBN of the book requested or journal title, volume and issue number, author/editor, year of publication of book or journal;


• which material you would like to use indicating page numbers and figures numbers;


• will your publication be open access?


• purpose of using Springer-Verlag's material;


• number of copies of your publication to be printed;


• name of your publisher or the company/institute.

Now, I'm just waiting for their answer.

Update 2

The publisher gave me permission and I added the image to my dissertation. Here are the conditions that I had to follow:

Thank you for getting back to me. With reference to your request to reuse material in which Springer Science+Business Media controls the copyright, our permission is granted free of charge under the following conditions:

Springer material

• 
  

  represents original material which does not carry references to other sources (if material in question refers with a credit to another source, authorization from that source is required as well);

  
  


• 
  
  

  requires full credit (book title, year of publication, page, chapter title, name(s) of author(s), original copyright notice) is given to the publication in which the material was originally published by adding: "With kind permission of Springer Science+Business Media";

  
  


• 
  

  may not be altered in any manner. Any other abbreviations, additions, deletions and/or any other alterations shall be made only with prior written authorization of the author and/or Springer Science+Business Media.

  
  

This permission

• is non-exclusive;


• is valid for one-time use only for the purpose of defending your thesis and with a maximum of 100 extra copies in paper.



• includes use in an electronic form, provided it is an author-created version of the thesis on his/her own website and his/her university’s repository, including UMI (according to the definition on the Sherpa website: http://www.sherpa.ac.uk/romeo/);


• is subject to courtesy information to the corresponding author;


• is personal to you and may not be sublicensed, assigned, or transferred by you to any other person without Springer's written permission;


• is valid only when the conditions noted above are met.

Permission free of charge does not prejudice any rights we might have to charge for reproduction of our copyrighted material in the future.

Answer

In fact, I think that your proposed use would not fall under "fair use", in the sense that you are not addressing the other authors' work, but merely (!) using some of their stuff. The fruits of their labors... which is what various reasonable notions of intellectual property are meant to protect.

Of course, if you write the copyright owners and they say "go ahead", you are legally fine...

However, legal correctness and moral/ethical correctness are not the same.

Might be better to take the trouble to make your own graphic that is good enough. At the very least, in addition to investigating literal copyright issues, you might contact the people who made the graphic and ask their permission. If everyone says "go ahead", out of generosity or whatever, then you are truly fine.