A quantitative representation of molecular surface shape. I: Theory and development of the method

The importance of molecular shape in many areas of biochemistry and biomolecular interactions is well recognised. In spite of this a rigorous and widely applicable means of defining and quantifying molecular shape has not been available. This paper, the first of a series of papers, presents a new method of quantifying molecular “surface” shape. The development of the technique, based on Fourier shape descriptors is discussed in some depth including the computer programs written to implement and test the method. A subsequent paper will present results obtained from the application of the new quantitative molecular shape descriptors.

[1]  David Fritzsche A SYSTEMATIC METHOD FOR CHARACTER RECOGNITION , 1961 .

[2]  Garrison Sposito,et al.  Mathematics for physicists , 1967 .

[3]  Philip Rabinowitz,et al.  Methods of Numerical Integration , 1985 .

[4]  Ralph Roskies,et al.  Fourier Descriptors for Plane Closed Curves , 1972, IEEE Transactions on Computers.

[5]  水野 幸夫 A. W. Joshi : Elements of Group Theory for Physicists, Wiley Eastern Private Limited, New Delhi, 1973, xi+316ページ, 22×14.5cm. , 1974 .

[6]  A. W. Joshi,et al.  Elements of group theory for physicists , 1974 .

[7]  Representation of the size and shape of a single particle , 1975 .

[8]  A. Verloop,et al.  Development and Application of New Steric Substituent Parameters in Drug Design , 1976 .

[9]  King-Sun Fu,et al.  Shape Discrimination Using Fourier Descriptors , 1977, IEEE Trans. Syst. Man Cybern..

[10]  G J Williams,et al.  The Protein Data Bank: a computer-based archival file for macromolecular structures. , 1977, Journal of molecular biology.

[11]  F M Richards,et al.  Areas, volumes, packing and protein structure. , 1977, Annual review of biophysics and bioengineering.

[12]  P. Wintz,et al.  An efficient three-dimensional aircraft recognition algorithm using normalized fourier descriptors , 1980 .

[13]  A. J. Collins,et al.  Introduction To Multivariate Analysis , 1981 .

[14]  Malayappan Shridhar,et al.  High accuracy character recognition algorithm using fourier and topological descriptors , 1984, Pattern Recognit..

[15]  Faryar Etesami,et al.  Automatic dimensional inspection of machine part cross-sections using Fourier analysis , 1985, Comput. Vis. Graph. Image Process..

[16]  Paul G. Mezey,et al.  The shape of molecular charge distributions: Group theory without symmetry , 1987 .

[17]  K. S. Park,et al.  A three-dimensional Fourier descriptor for human body representation/reconstruction from serial cross sections. , 1987, Computers and biomedical research, an international journal.

[18]  W. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[19]  Nelson L. Max,et al.  Spherical harmonic molecular surfaces , 1988, IEEE Computer Graphics and Applications.

[20]  Gustavo A. Arteca,et al.  Shape characterization of some molecular model surfaces , 1988 .

[21]  Robert Bywater,et al.  Description of molecular surface shape using Fourier descriptors , 1988 .