Automated Design Systems Based on the use of Three-dimensional Object Modeling Techniques

2021 ◽  
Author(s):  
Pavel D. Macheret ◽  
Ramilya R. Savchuk
Keyword(s):  
Three Dimensional ◽  
Automated Design ◽  
Object Modeling ◽  
Modeling Techniques ◽  
Design Systems ◽  
Dimensional Object

The Dynamic Modeling of Flexible Spatial Machine Systems With Clearance Connections

1987 ◽  
Vol 109 (1) ◽  
pp. 87-94 ◽  
Author(s):  
S. Dubowsky ◽  
J. F. Deck ◽  
H. Costello
Keyword(s):  
Finite Element ◽  
Computer Aided Design ◽  
High Performance ◽  
Three Dimensional ◽  
Matrix Modeling ◽  
Computer Aided ◽  
Modeling Techniques ◽  
Design Systems ◽  
Machine Systems ◽  
Aided Design

An effective method is presented for modeling the full three-dimensional dynamics of high performance spatial machine systems, including the vibrations of their links, supporting structure and enclosures, and impacts in their connection clearances. The method combines four-by-four matrix modeling techniques with finite-element techniques. The system’s elements can be described in rich detail, including detailed models of the internal structure of the connections, yet the dynamic calculations are performed efficiently. The method is formulated for implementation on computer-aided design systems. Examples are presented.

Three dimensional object modeling via minimal surfaces

1996 ◽  
pp. 97-106 ◽  
Author(s):  
Vicent Caselles ◽  
Ron Kimmel ◽  
Guillermo Sapiro ◽  
Catalina Sbert
Keyword(s):  
Minimal Surfaces ◽  
Three Dimensional ◽  
Object Modeling ◽  
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.

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