PTK: A novel depth buffer-based shape descriptor for three-dimensional object retrieval

2006 ◽  
Vol 23 (1) ◽  
pp. 5-14 ◽  
Author(s):  
Geogios Passalis ◽  
Theoharis Theoharis ◽  
Ioannis A. Kakadiaris
Keyword(s):  
Three Dimensional ◽  
Shape Descriptor ◽  
Object Retrieval ◽  
Depth Buffer ◽  
Dimensional Object

Reconstruction of Objects from their Projections Using Orthogonal Functions

1973 ◽  
Vol 31 ◽  
pp. 268-269
Author(s):  
Elrnar Zeitler
Keyword(s):  
Unit Area ◽  
Three Dimensional ◽  
One Dimension ◽  
Spatial Density ◽  
Dimensional Representation ◽  
Orthogonal Functions ◽  
Object A ◽  
Plane Normal ◽  
Dimensional Object ◽  
Spatial Density Distribution

Considering any finite three-dimensional object, a “projection” is here defined as a two-dimensional representation of the object's mass per unit area on a plane normal to a given projection axis, here taken as they-axis. Since the object can be seen as being built from parallel, thin slices, the relation between object structure and its projection can be reduced by one dimension. It is assumed that an electron microscope equipped with a tilting stage records the projectionWhere the object has a spatial density distribution p(r,ϕ) within a limiting radius taken to be unity, and the stage is tilted by an angle 9 with respect to the x-axis of the recording plane.

scholarly journals Molecular Shape Descriptors. 2. Quantitative Structure-Activity Relationships Based Upon Three-Dimensional Molecular Shape Descriptor

1985 ◽  
Vol 40 (11) ◽  
pp. 1114-1120
Author(s):  
loan Motoc ◽  
Garland R. Marshall
Keyword(s):  
Enzyme Inhibitor ◽  
Three Dimensional ◽  
Shape Descriptor ◽  
Molecular Shape ◽  
Quantitative Structure Activity Relationship ◽  
Quantitative Structure ◽  
E Coli ◽  
Interactional Pattern ◽  
Structure Activity ◽  
Quantitative Structure Activity Relationships

A methodology to incorporate the three-dimensional molecular shape descriptor (3 D-MSD) into a quantitative structure-activity relationship is discussed in detail. The 3 D-MSD is calculated and correlated with Kiapp values for a set of 2,4-diamino-5-benzylpyrimidines which inhibit E. coli DHFR. The correlation (n = 22, r = 0.95, s = 0.214, F = 55.10) indicates that the polarization interaction dominates the enzyme-inhibitor interactional pattern.

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