The document discusses rapid prototyping and tooling, specifically model slicing and tool path generation. It explains that the part is divided into slices for rapid prototyping. Tool path generation algorithms are used to efficiently machine object surfaces and control tool direction and speed. Parametric equations are used to represent three dimensional curved lines and surfaces, with surfaces defined by control points.

1. RAPID PROTOTYPING AND
TOOLING
MODEL SLICING

4. THE PART IS DIVIDED INTO
SLICES

6. REASONS FOR USING DIRECT SLICING
•Reduced file Size (Over-faceted Models);
•Greater Model Accuracy;
•Reduced RP Machine Pre-processing Time;
•Elimination Of Repair Routines
DISADVANTAGES OF DIRECT SLICING
•Supports Cannot Easily Be Added To Nested Sections.
•Beam Compensation And Offsets Still Require Processing.
•More Designer Knowledge Is Required

9. TOOL PATH GENERATION

10. TOOL PATH GENERATION
• To generate and control the tool direction and
speed in part manufacturing
• Two different approaches to generate the tool
path
• Normal surface and offset surface,
approximation are always used to the offset
surface

11. TOOL PATH ALGORITHM
• The tool path generation algorithm is to
efficient tool path to machine object surfaces,
classified tool path generation into
isoperimetric and non-isoperametric paths. the
accuracy of the surface depends on the desired
tolerance.

12. SURFACES
• A three dimensional curved line Can be represented in an
analytical form With the pair of functions:
Y = f (x)
Z = g(x)
• Can then be represented by the Vector function:
P(u) = (x(u), y(u), z(u))
The parameter (u) is defined in The range from [0 to 1]

13. Parametric equations for surfaces are Formulated with
two parameters [ u and v], A coordinate position on a
surface are Then represented by the parametric vector
Function:
P(u,v)=(X(u,v),Y(u,v),Z(u,v)
In design applications, a surface is often defined by
interactively specifying a set of control points which
indicate the surface.

14. THANKING YOU