一般化スウィープ法によるCSGモデリングの研究

書誌事項

タイトル
一般化スウィープ法によるCSGモデリングの研究
タイトル別名
  • A study on a generalized sweeping method for CSG modeling
著者
城間, 祥之
著者別名
  • Shiroma, Yoshiyuki
学位授与大学
北海道大学
取得学位
博士(工学)
学位授与番号
乙第3844号
学位授与年月日
1990-12-25

この論文をさがす

説明

工学院

目次

CONTENTS

1. INTRODUCTION

1.1 Historical Summary of Geometric Modeling

1.2 Background and Motivation

1.3 Objectives

1.4 Composition of the present paper

1.5 Conclusion

References

2. SET THEORETICAL DEFINITION OF A SOLID SHAPE

2.1 Introduction

2.2 Set operations

2.3 Set theoretical expression of a solid shape

2.4 Penalty function of a solid shape

2.5 Conclusion

3. DEFINITION OF THE TRAJECTORY VOLUME FORMED BY THE MOVEMENT OF A SOLID OBJECT

3.1 Introduction

3.2 The envelope of a family of surfaces

3.3 Set theoretical definition of the trajectory volume

3.4 Generating conditions for the surface of the trajectory volume

3.5 Classification of edges of the trajectory volume

3.6 Experiments and the consideration

3.7 Conclusion

4. A GENERALIZED SWEEPING METHOD

4.1 Introduction

4.2 Linear axis sweep

4.3 General form of the sweep with a curved spine

4.4 Cross-sectional curves

4.5 A generalized sweeping method for CSG-based solid modeling

4.6 Conclusion

5. SOLID MODELING OF NC CUTTER MOVEMENT TRAJECTORY

5.1 Introduction

5.2 Related works

5.3 The principle of the NC machining-process simulation

5.4 Description of the problem

5.5 Parametric representation of the characteristic curve

5.6 Definition of the enveloped pattern

5.7 Classification of the shape and the motion of the NC cutter

5.8 Derivation of the enveloped pattern

5.9 Experiments and the consideration

5.10 Conclusion

6. SOLID MODELING OF THE FILLET VOLUME -ON THE FILLET FOR ROUNDING THE INTERSECTION LINE BETWEEN TWO QUADRICS-

6.1 Introduction

6.2 Description of the problem

6.3 Derivation of the intersection line

6.4 Sweep parameters

6.5 Definition of the Penalty function

6.6 Experiments and the consideration

6.7 Conclusion

7. SOLID MODELING OF FILLET VOLUME - ON THE FILLET FOR CORNER ROUNDUNG

7.1 Introduction

7.2 The corner rounding problem

7.3 The corner rounding method

7.4 Application of the proposed sweeping method

7.5 Equations of the fillet volume

7.6 The connection of fillet volumes for rounding the vertex and the edges simultaneously

7.7 Experiments and the consideration

7.8 Conclusion

8. SOLID MODELING OF THE FILLET VOLUME - ON THE FILLET FOR JOINING TWO DISCONNECTED SOLIDS

8.1 Introduction

8.2 Description of the problem

8.3 The Sweep and Spine Axes curves

8.4 Equations of the current Sweep Pattern

8.5 An implicit representation of the Sweep Pattern

8.6 Connecting conditions between two fillet volumes

8.7 Experiments and the consideration

8.8 Conclusion

9. A PROTOTYPE SYSTEM OF THE SPECIAL PRIMITIVE FOR THE SWEPT VOLUME

9.1 Introduction

9.2 The system structure

9.3 The CONTOUR statement and the subroutine CONTOR

9.4 Data tables

9.5 Experiments and the consideration

9.6 Conclusion

10. CONCLUSION

Acknowledgments

詳細情報 詳細情報について

問題の指摘

ページトップへ