A study on a generalized sweeping method for CSG modeling 一般化スウィープ法によるCSGモデリングの研究
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Bibliographic Information
- Title
-
A study on a generalized sweeping method for CSG modeling
- Other Title
-
一般化スウィープ法によるCSGモデリングの研究
- Author
-
城間, 祥之
- Author(Another name)
-
シロマ, ヨシユキ
- University
-
北海道大学
- Types of degree
-
工学博士
- Grant ID
-
乙第3844号
- Degree year
-
1990-12-25
Note and Description
博士論文
工学院
Table of Contents
- CONTENTS / p1 (0003.jp2)
- 1. INTRODUCTION / p1 (0015.jp2)
- 1.1 Historical Summary of Geometric Modeling / p1 (0015.jp2)
- 1.2 Background and Motivation / p8 (0022.jp2)
- 1.3 Objectives / p10 (0024.jp2)
- 1.4 Composition of the present paper / p16 (0030.jp2)
- 1.5 Conclusion / p18 (0032.jp2)
- References / p19 (0033.jp2)
- 2. SET THEORETICAL DEFINITION OF A SOLID SHAPE / p22 (0036.jp2)
- 2.1 Introduction / p22 (0036.jp2)
- 2.2 Set operations / p22 (0036.jp2)
- 2.3 Set theoretical expression of a solid shape / p23 (0037.jp2)
- 2.4 Penalty function of a solid shape / p29 (0043.jp2)
- 2.5 Conclusion / p33 (0047.jp2)
- References / p34 (0048.jp2)
- 3. DEFINITION OF THE TRAJECTORY VOLUME FORMED BY THE MOVEMENT OF A SOLID OBJECT / p35 (0049.jp2)
- 3.1 Introduction / p35 (0049.jp2)
- 3.2 The envelope of a family of surfaces / p36 (0050.jp2)
- 3.3 Set theoretical definition of the trajectory volume / p38 (0052.jp2)
- 3.4 Generating conditions for the surface of the trajectory volume / p44 (0058.jp2)
- 3.5 Classification of edges of the trajectory volume / p50 (0064.jp2)
- 3.6 Experiments and the consideration / p52 (0066.jp2)
- 3.7 Conclusion / p52 (0066.jp2)
- References / p55 (0069.jp2)
- 4. A GENERALIZED SWEEPING METHOD / p57 (0071.jp2)
- 4.1 Introduction / p57 (0071.jp2)
- 4.2 Linear axis sweep / p58 (0072.jp2)
- 4.3 General form of the sweep with a curved spine / p60 (0074.jp2)
- 4.4 Cross-sectional curves / p62 (0076.jp2)
- 4.5 A generalized sweeping method for CSG-based solid modeling / p68 (0082.jp2)
- 4.6 Conclusion / p71 (0085.jp2)
- References / p72 (0086.jp2)
- 5. SOLID MODELING OF NC CUTTER MOVEMENT TRAJECTORY / p74 (0088.jp2)
- 5.1 Introduction / p74 (0088.jp2)
- 5.2 Related works / p76 (0090.jp2)
- 5.3 The principle of the NC machining-process simulation / p77 (0091.jp2)
- 5.4 Description of the problem / p78 (0092.jp2)
- 5.5 Parametric representation of the characteristic curve / p84 (0098.jp2)
- 5.6 Definition of the enveloped pattern / p85 (0099.jp2)
- 5.7 Classification of the shape and the motion of the NC cutter / p87 (0101.jp2)
- 5.8 Derivation of the enveloped pattern / p91 (0105.jp2)
- 5.9 Experiments and the consideration / p107 (0121.jp2)
- 5.10 Conclusion / p115 (0129.jp2)
- References / p117 (0131.jp2)
- 6. SOLID MODELING OF THE FILLET VOLUME -ON THE FILLET FOR ROUNDING THE INTERSECTION LINE BETWEEN TWO QUADRICS- / p119 (0133.jp2)
- 6.1 Introduction / p119 (0133.jp2)
- 6.2 Description of the problem / p121 (0135.jp2)
- 6.3 Derivation of the intersection line / p123 (0137.jp2)
- 6.4 Sweep parameters / p128 (0142.jp2)
- 6.5 Definition of the Penalty function / p134 (0148.jp2)
- 6.6 Experiments and the consideration / p138 (0152.jp2)
- 6.7 Conclusion / p147 (0161.jp2)
- References / p148 (0162.jp2)
- 7. SOLID MODELING OF FILLET VOLUME - ON THE FILLET FOR CORNER ROUNDUNG / p150 (0164.jp2)
- 7.1 Introduction / p150 (0164.jp2)
- 7.2 The corner rounding problem / p151 (0165.jp2)
- 7.3 The corner rounding method / p152 (0166.jp2)
- 7.4 Application of the proposed sweeping method / p155 (0169.jp2)
- 7.5 Equations of the fillet volume / p158 (0172.jp2)
- 7.6 The connection of fillet volumes for rounding the vertex and the edges simultaneously / p174 (0188.jp2)
- 7.7 Experiments and the consideration / p182 (0196.jp2)
- 7.8 Conclusion / p189 (0203.jp2)
- References / p190 (0204.jp2)
- 8. SOLID MODELING OF THE FILLET VOLUME - ON THE FILLET FOR JOINING TWO DISCONNECTED SOLIDS / p193 (0207.jp2)
- 8.1 Introduction / p193 (0207.jp2)
- 8.2 Description of the problem / p194 (0208.jp2)
- 8.3 The Sweep and Spine Axes curves / p196 (0210.jp2)
- 8.4 Equations of the current Sweep Pattern / p198 (0212.jp2)
- 8.5 An implicit representation of the Sweep Pattern / p204 (0218.jp2)
- 8.6 Connecting conditions between two fillet volumes / p206 (0220.jp2)
- 8.7 Experiments and the consideration / p208 (0222.jp2)
- 8.8 Conclusion / p210 (0224.jp2)
- References / p222 (0236.jp2)
- 9. A PROTOTYPE SYSTEM OF THE SPECIAL PRIMITIVE FOR THE SWEPT VOLUME / p224 (0238.jp2)
- 9.1 Introduction / p224 (0238.jp2)
- 9.2 The system structure / p224 (0238.jp2)
- 9.3 The CONTOUR statement and the subroutine CONTOR / p225 (0239.jp2)
- 9.4 Data tables / p228 (0242.jp2)
- 9.5 Experiments and the consideration / p240 (0254.jp2)
- 9.6 Conclusion / p241 (0255.jp2)
- References / p246 (0260.jp2)
- 10. CONCLUSION / p247 (0261.jp2)
- Acknowledgments / p250 (0264.jp2)