Protein Image Alignment via Piecewise Affine Transformations | Zendy

Florian A. Potra | Zendy; Xing Liu | Zendy; Françoise SeillierMoiseiwitsch | Zendy; Anindya Roy | Zendy; Yaming Hang | Zendy; Mark R. Marten | Zendy; Babu Raman | Zendy; Carol C. Whisnant | Zendy

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Protein Image Alignment via Piecewise Affine Transformations

Author(s) -

Florian A. Potra,

Xing Liu,

Françoise SeillierMoiseiwitsch,

Anindya Roy,

Yaming Hang,

Mark R. Marten,

Babu Raman,

Carol C. Whisnant

Publication year - 2006

Publication title -

journal of computational biology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.585

H-Index - 95

eISSN - 1557-8666

pISSN - 1066-5277

DOI - 10.1089/cmb.2006.13.614

Subject(s) - affine transformation , ideal (ethics) , piecewise , pairwise comparison , mathematics , image (mathematics) , construct (python library) , set (abstract data type) , quadratic equation , quadratic programming , computer science , algorithm , mathematical optimization , artificial intelligence , pure mathematics , mathematical analysis , geometry , philosophy , epistemology , programming language

We present a new approach for aligning families of 2D gels. Instead of choosing one of the gels as reference and performing a pairwise alignment, we construct an ideal gel that is representative of the entire family and obtain a set of piecewise affine transformations that optimally align each gel of the family to the ideal gel. The coefficients defining the transformations as well as the ideal landmarks are obtained as the solution of a large-scale quadratic programming problem that can be solved efficiently by interior-point methods.

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