Presentation

1. IE 605 Fall 2006 UW-Madison Section 2-1-1 Geometric Modeling Introduction Courtesy of Alyn Alyn Rockwood, SGI Ardy Ardy Goshtasby, Wright State Wright State U.

2. IE 605 Fall 2006 UW-Madison Field warranty service Production system Prototyping Process design GD&T Quality control Product design GD&T Engineering Modeling Market analysis, R&D Computer Aided Design (CAD) Computer Aided Manufacturing (CAM) Rapid Prototyping Cell, Quick Response Manufacturing Statistic Process Control (SPC) Geometric Modeling FEM (ME601) SOVA (IE655) CAD design DFMA AXIOM QFD FMEA CNC CAPP Machining calculation Tolerance design (IE 655) Rapid prototyping Rapid Prototyping (ME 601) Manufacturing process (IE 415) Facility Planning (IE 510) QRM (IE 641) SPC (IE 512) DOE(IE 575) QRM (IE 641) Information Sensing and Analysis (IE6 12 ) Manufacturing Map: Where we are? Topics and related classes

8. Graphical Models (contd.) IE 605 Fall 2006 UW-Madison

9. Geometric Modeling: Validation IE 605 Fall 2006 UW-Madison A good geometric modeling representation should address the following seven issues: Domain : While no representation can describe all possible solids, a representation should be able to represent a useful set of geometric objects. Unambiguity : When you see a representation of a solid, you will know what is being represented without any doubt. An unambiguous representation is usually referred to as a complete one. Uniqueness : That is, there is only one way to represent a particular solid. If a representation is unique, then it is easy to determine if two solids are identical since one can just compare their representations.

10. Geometric Modeling: Validation IE 605 Fall 2006 UW-Madison R R Object (Reality) Representation (Model) M M1 M2 R1 Unambiguous, complete, unique scheme Unambiguous, complete, Non-unique scheme Ambiguous, incomplete scheme M1 R2

11. Geometric Modeling: Validation IE 605 Fall 2006 UW-Madison A good geometric modeling representation should address the following seven issues: Accuracy : A representation is said accurate if no approximation is required. Validness : This means a representation should not create any invalid or impossible solids. More precisely, a representation will not represent an object that does not correspond to a solid. Closure : Solids will be transformed and used with other operations such as union and intersection. "Closure" means that transforming valid solids always yields valid solids. Compactness and Efficiency : A good representation should be compact enough for saving space and allow for efficient algorithms to determine desired physical characteristics .