[Insight-users] Splines

Mon May 7 11:51:18 EDT 2012

Hi Selma,

You're welcome. :-)

take care,
John

On 5/7/12, SELMA GÜZEL <slm_guzel at hotmail.com> wrote:
>
> Thanks a lot or your serious help and kindness. I will study in the shortest
> time.Best regrds,
> Selma
>
>
>
>> Date: Mon, 7 May 2012 11:37:13 -0400
>> Subject: Re: [Insight-users] Splines
>> From: john.drozd at gmail.com
>> To: Brecht.Heyde at med.kuleuven.be
>> CC: slm_guzel at hotmail.com
>>
>> Hi Selma and Brecht,
>>
>> Attached is a pdf of a chapter 12 from another one of my "good" Springer
>> books:
>> "Numerical Algorithms with C" (I have included the ISBN number,
>> preface and table of contents.)
>> Section 12.2 describes thin plate splines and Section 12.4 describes
>> B-Spline Curves and and Surfaces.  I highly recommend purchasing this
>> book because it comes with a CD of all the algorithms coded in the
>> ANSI C programming language.  This book nicely supplements the
>> "Numerical Recipies in C" book.
>>
>> I can help explain the mathematics of this in case you have any
>> questions.
>>
>> Happy computing! :-)
>>
>> Unfortunately, these PDF attachments are too large to send through to
>> the ITK users mailing list.   I will resend this email to the mailing
>> list with these attachments removed.
>> If anyone wants them I can send them directly.
>>
>> take care,
>> John
>>
>> --
>> John Drozd, Ph.D.
>>
>> Financial Secretary
>> Knights of Columbus
>> St. Pius X council 10561
>> Holy Family Parish
>>
>> Post-Doctoral Scholar (Fellow)
>> Robarts Research Institute
>> Western University
>>
>> London, ON, Canada
>> cell: 519-282-3340
>> http://publish.uwo.ca/~jdrozd2
>> jdrozd at imaging.robarts.ca
>>
>> On 5/7/12, John Drozd <john.drozd at gmail.com> wrote:
>> > Hi Brecht,
>> >
>> > Sure, I''m happy to send you this information and follow up with
>> > fruitful
>> > email discussions.  I am sure we can all learn from each other.  I'll
>> > read
>> > the paper by Rueckert so we will all be on the same page.
>> >
>> > Take care,
>> > John
>> >
>> > John Drozd, Ph.D.
>> >
>> > Post-Doctoral Scholar (Fellow)
>> > Robarts Research Institute
>> > Western University
>> > London, ON, Canada
>> >
>> > Cell: 519-282-3340
>> > http://publish.uwo.ca/~jdrozd2
>> > jdrozd at imaging.robarts.ca
>> >
>> > Sent from my iPhone 4S
>> >
>> > On 2012-05-07, at 8:17 AM, "Brecht Heyde"
>> > <Brecht.Heyde at med.kuleuven.be>
>> > wrote:
>> >
>> >> Hi John,
>> >>
>> >> I just saw this mailing pass by. I would be interested as well to
>> >> receive
>> >> some more information on splines (and B-splines in particular?), easily
>> >> to
>> >> digest, but also providing enough in-depth background.
>> >> I checked the book that you proposed, but it is mainly on spline
>> >> interpolation, or am I wrong here? I'm using tensor-product B-splines
>> >> to
>> >> parametrize my displacement field in image registration applications
>> >> (you
>> >> might be familiar with this, Rueckert et al. 1999 Trans Med Imaging).
>> >>
>> >> Would you be able to mail me a copy of those scans as well? Many
>> >> thanks!
>> >>
>> >> Best regards,
>> >> Brecht
>> >>
>> >> --
>> >> Brecht Heyde, PhD Candidate
>> >>
>> >> Cardiovascular Imaging and Dynamics
>> >> Dept. of Cardiovascular Disease
>> >>
>> >> Medical Imaging Center - University Hospital Gasthuisberg
>> >> Herestraat 49, bus 7003
>> >> 3000 Leuven, Belgium
>> >>
>> >> Phone: +32 16 34 90 60
>> >> Fax: +32 16 34 37 65
>> >> Email: brecht.heyde at med.kuleuven.be
>> >>
>> >>
>> >> From: insight-users-bounces at itk.org
>> >> [mailto:insight-users-bounces at itk.org]
>> >> On Behalf Of John Drozd
>> >> Sent: maandag 7 mei 2012 13:12
>> >> To: SELMA GÜZEL
>> >> Cc: insight-users at itk.org
>> >> Subject: Re: [Insight-users] Splines
>> >>
>> >> Hi Selma,
>> >>
>> >> You're welcome.  I am glad I could help.
>> >> I also have a nice Numerical Analysis textbook and instructor's
>> >> solutions
>> >> manual in my office. I was a TA for this course on numerical analysis
>> >> that
>> >> my Ph.D. Supervisor taught.  When I get to my office, I will scan the
>> >> pertinent pages on Splines and email you a PDF attachment. I am an
>> >> Applied
>> >>  Mathematician & Theoretical Physicist with a Computer Science
>> >> background
>> >> so I have a lot of this information.  I have included my contact
>> >> information below.
>> >>
>> >> Take care,
>> >> John
>> >>
>> >> John Drozd, Ph.D.
>> >>
>> >> Post-Doctoral Scholar (Fellow)
>> >> Robarts Research Institute
>> >> Western University
>> >> London, ON, Canada
>> >>
>> >> cell: 519-282-3340
>> >> http://publish.uwo.ca/~jdrozd2
>> >> jdrozd at imaging.robarts.ca
>> >>
>> >> Sent from my iPhone 4S
>> >>
>> >> On 2012-05-07, at 4:57 AM, SELMA GÜZEL <slm_guzel at hotmail.com> wrote:
>> >>
>> >> Hi John,
>> >>
>> >> I have checked the resource. It seems useful.
>> >>
>> >> Thank you.
>> >>
>> >>
>> >>
>> >>
>> >> CC: insight-users at itk.org
>> >> From: john.drozd at gmail.com
>> >> Subject: Re: [Insight-users] Splines
>> >> Date: Sat, 5 May 2012 19:28:52 -0400
>> >> To: slm_guzel at hotmail.com
>> >>
>> >> A nice resource for splines is Numerical Recipies in C. It briefly
>> >> describes the theory and gives the C code.  The PDF is available free
>> >> online.
>> >>
>> >> John
>> >>
>> >> Sent from my iPhone 4S
>> >>
>> >> On 2012-05-05, at 6:20 PM, SELMA GÜZEL <slm_guzel at hotmail.com> wrote:
>> >>
>> >> Hello,
>> >>
>> >> I need a good resource for understanding splines very well. In fact, I
>> >> studied different resources but something is not clear enough for me.
>> >>
>> >> For example, when we use piecewise cubic splines, we find an equation
>> >> for
>> >> each curve segment corresponding the local segments of a shape, am I
>> >> correct?
>> >> Then, how can we calculate a general function that we can use for any
>> >> segment at the end? Or, do we transform each part separately, namely
>> >> use
>> >> each curve segment equation for a point within that local part? Are
>> >> the
>> >> weighted mean approach used for this problem? If yes, how can we
>> >> calculate
>> >> the weights for each part?
>> >>
>> >> My mathematical background is not sufficient to comprehend all
>> >> aspects,
>> >> could you explain splines including TPS a bit? And/or could you
>> >> recommend
>> >> some good resources to understand splines from the point of image
>> >> registration?
>> >>
>> >> Thanks in advance.
>> >> Best regards,
>> >> Selma
>> >>
>> >>
>> >>
>> >>
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>>
>>
>> --
>> John Drozd, Ph.D.
>>
>> Financial Secretary
>> Knights of Columbus
>> St. Pius X council 10561
>> Holy Family Parish
>>
>> Post-Doctoral Scholar (Fellow)
>> Robarts Research Institute
>> Western University
>>
>> London, ON, Canada
>> cell: 519-282-3340
>> http://publish.uwo.ca/~jdrozd2
>  		 	   		

-- 
John Drozd, Ph.D.

Financial Secretary
Knights of Columbus
St. Pius X council 10561
Holy Family Parish

Post-Doctoral Scholar (Fellow)
Robarts Research Institute
Western University

London, ON, Canada
cell: 519-282-3340
http://publish.uwo.ca/~jdrozd2