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ComputerAided_Design_Engineering_amp_Manufactur.pdf

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A Skeletal Approach for the Recognition of Punch Shapes<br />

The design of progressive dies involves the process of matching the profiles of the punch designed by the<br />

user with a catalogue of standard punch shapes supplied by the die component’s manufacturer. There<br />

are two advantages associated with using standard components: first, they are usually cheaper than custom<br />

made component, and second, they are readily available, hence reducing the production lead time. When<br />

a die designer is developing the strip using the traditional approach, he is continually taking off dimensions<br />

from the product drawings to develop the various punch shapes. Hence, the manual task of matching<br />

punch profiles with the standard punches provided in the catalogue becomes a natural extension of the<br />

measuring and construction tasks. However, in an automated environment, the punch profiles are derived<br />

directly from the geometry of the respective features stored in the knowledge base. It would be a tedious<br />

exercise for the user of the die design automation system to pick off the dimensions of the punch profiles<br />

developed by the system and manually select the standard punch shapes from the catalogue. Furthermore,<br />

it would defeat the main objective of providing the die design automation system, i.e., to allow the<br />

designer to concentrate on the important task of making design decisions by relieving him from the<br />

mundane and tedious tasks of measuring, checking, and flipping through catalogues.<br />

The use of the skeleton as a descriptor of shape has been adopted by many researchers to simplify<br />

image processing and recognition problems. Several efficient ‘‘skeletonization’’ schemes have also been<br />

developed. One group of researchers (Wu et al., 1994a, Wu and Chen, 1994b) introduced the use of the<br />

simplified line skeleton for the classification of 2-D workpieces. They defined the simplified skeleton of<br />

the polygon as the set of points where the firings of two non-neighboring edges meet in their advancing<br />

paths. They divided the simplified skeleton into real and virtual links. They also proved that the simplified<br />

skeleton correctly represents the global shape information of a rectilinear contour.<br />

The Enhanced Simplified Line (ESL) skeleton was developed at the National University of Singapore<br />

specifically for the recognition of punch shapes. The ESL skeleton is a modification of Wu and Chen’s<br />

simplified line skeleton. In addition to the real and virtual links, extension links are introduced to<br />

represent the local shape information at the corners and ends of a profile. In addition, the ESL skeleton<br />

can be applied to non-rectilinear contours. If a contour consists of circular segments, they are approximated<br />

by straight lines; its ESL skeleton is derived regardless of whether the sides are non-rectilinear.<br />

The steps required for the construction of the ESL skeleton for an L-shaped contour are illustrated in<br />

Figure 7.5. In the final skeleton, FG and DE are the real links. FG has a shrinkage grade of (d1+d2) while<br />

DE has a shrinkage grade of d1. GD is the virtual link while the dashed lines are the extension links.<br />

A commercial die components catalogue consists of many standard punch shapes. For ex<strong>amp</strong>le, there<br />

are 78 basic and special punch shapes in the Face ’88–’89 Misumi Press Die Standard Components and<br />

System Technical Specifications (Misumi, 1988). After detailed analysis of the ESL skeletons of the<br />

standard punch shapes, it was discovered that the following skeletal features can be used to help recognize<br />

FIGURE 7.5<br />

Steps taken to generate the ESL skeleton of an L-shaped contour.

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