Abstract: A slicing tool works with a solid modeling system to partition the geometric representation of a three-dimensional part into a series of simpler sub-parts the union of which replicates the original part in a manner that introduces a minimal number of new surfaces in each sub-part and in total. This approach uses the existing analytic surfaces that define the part geometry to partition the part and selects a partition from a quality metric based on the number of trimmed surfaces of the part being partitioned and the candidate sub-parts. This approach greatly reduces the complexity of any downstream solid modeling applications that perform combinatorial surface operations on the geometric representation of the series of sub-parts to analyze physical characteristics such as radiation, mechanical, optical, thermal, structural or biological of the original part.

Abstract: A slicing tool works with a solid modeling system to partition the geometric representation of a three-dimensional part into a series of simpler sub-parts the union of which replicates the original part in a maimer that introduces a minimal number of new surfaces in each sub-part and in total. This approach uses the existing analytic surfaces that define the part geometry to partition the part and selects a partition from a quality metric based on the number of trimmed surfaces of the part being partitioned and the candidate sub-parts. This approach greatly reduces the complexity of any downstream solid modeling applications that perform combinatorial surface operations on the geometric representation of the series of sub-parts to analyze physical characteristics such as radiation, mechanical, optical, thermal, structural or biological of the original part.

Abstract: A surface of a 3-D object is digitized automatically and stored in a memory. Based on the signal representation of the 3-D object areas of the surface are defined for color and boundaries. Coatings application paths are defined within each area and various parameters for applying coatings for each point in each path are also defined including spray pattern, amount of coatings to be applied, speed of application along the path, among others; for each area, the points of the selected path are correlated with the angle of attack, spray pattern, amount of coatings and speed. A set of programmed instructions are compiled for execution in a general purpose computer. An assembly line of objects to be painted may then be set up and the retrieved instructions executed.

Abstract: A surface of a 3-D object is digitized automatically and stored in a memory. Based on the signal representation of the 3-D object areas of the surface are defined for color and boundaries. Coatings application paths are defined within each area and various parameters for applying coatings for each point in each path are also defined including spray pattern, amount of coatings to be applied, speed of application along the path, among others; for each area, the points of the selected path are correlated with the angle of attack, spray pattern, amount of coatings and speed. A set of programmed instructions are compiled for execution in a general purpose computer. An assembly line of objects to be painted may then be set up and the retrieved instructions executed.