On the computational geometry of pocket machining:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1991
|
| Series: | Lecture notes in computer science
500 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 178 S. graph. Darst. |
| ISBN: | 3540541039 0387541039 |
Staff View
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Record in the Search Index
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Contents
I Survey
1 Introduction 3
1.1 Computational Geometry 4
1.2 NC Pocket Machining 5
1.2.1 Introduction to NC Milling 5
1.2.2 Main Types of NC Path Control 6
1.2.3 Motivation for Pocket Machining 7
1.2.4 Informal Problem Specification 9
1.2.5 Machining Strategies 9
1.3 Analysis of Prior and Related Work 11
1.3.1 Remarks on NC Part Programming for Pocketing 11
1.3.2 State of the Art 12
1.3.3 Conventional or Set Theoretical Approach 13
1.3.4 Artificial Intelligence Approach 15
2 Survey of Contour parallel Milling 17
2.1 Introduction 18
2.1.1 Contents of the Chapter 18
2.1.2 Problem Specification 18
2.1.3 Restrictions Imposed on the Pocket 19
2.2 Voronoi Diagrams and Offsetting 19
2.2.1 Motivation 19
2.2.2 Using Voronoi Diagrams for Offsetting 21
2.2.3 Constructing Voronoi Diagrams 21
2.3 Solving Geometrical Problems of Pocketing 22
2.3.1 Modifying the Pocket Contours 22
2.3.2 The Concept of Monotonous Areas 24
2.3.3 Computing Optimal Cutter Pass Distances 25
2.3.4 Generating the Tool Path 28
2.4 Pocketing Features of GeoPocket 30
2.4.1 Advanced Geometrical Features 30
2.4.2 User Assistance and Advanced Technological Features 30
2.5 Solving Technological Problems of Pocketing 31
2.5.1 Computer aided Tool Selection 32
2.5.2 Ensuring a Satisfying Surface Quality 33
2.5.3 Further Technological Features 35
2.6 Concluding Remarks 36
3 Survey of Direction parallel Milling 37
3.1 Introduction 38
3.1.1 Contents of the Chapter 38
3.1.2 Problem Specification 38
3.2 Motivation and Basic Aspects 39
3.3 Pocketing Features of ZigPocket 41
3.3.1 Advanced Geometrical Features 41
3.3.2 User Assistance and Advanced Technological Features 42
3.4 Solving Geometrical Problems of Pocketing 42
3.4.1 Constructing the Mesh 43
3.4.2 Computing the Tool Path 44
3.5 Solving Technological Problems of Pocketing 46
3.5.1 Computing a (Near) Optimum Inclination 46
3.5.2 Handling Negative Islands 47
3.5.3 Avoiding to Drill Unnecessary Holes 48
3.6 Practical Results and Heuristic Analysis 49
3.6.1 The Program Package GeoPocket/ZigPocket 49
3.6.2 How Important Is a Suitable Inclination? 50
3.6.3 Zigzag Versus Offset Curve Milling 51
3.7 Concluding Remarks 51
3.7.1 Summary 51
3.7.2 Open Problems 52
4 Preliminaries 53
4.1 Notational Conventions 54
4.1.1 Upper Case Blackboard Bold 54
4.1.2 Upper Case Script 55
4.1.3 Upper Case Roman 55
4.1.4 Lower Case Roman 56
4.1.5 Lower Case Greek 56
4.2 Topology and Geometry Revisited 57
4.3 Graph Theory Revisited 58
4.4 Remarks on Algorithms 59
II Contour parallel Milling
5 Computing Voronoi Diagrams 63
5.1 Introduction 64
5.1.1 Previous and Related Work on Voronoi Diagrams 64
5.1.2 Our Approach to Constructing Voronoi Diagrams 66
5.2 Basic Concepts 68
5.2.1 Restrictions Imposed on the Pocket Contours 68
5.2.2 Definition of the Voronoi Diagram 69
5.2.3 Basic Facts about Voronoi Diagrams 71
5.3 Computing VV(C0) 77
5.3.1 Preparing for the Voronoi Algorithm 77
5.3.2 Discussion of the Voronoi Algorithm 79
5.4 Analysis of the Voronoi Algorithm 82
5.4.1 Termination of the Merge Process 82
5.4.2 Correctness of the Merge Process 82
5.4.3 Worst case Analysis of the Voronoi Algorithm 84
5.5 Computing VV(B) 86
6 Implementations! Issues 89
6.1 Representation of the Contours 90
6.2 Representation of the Bisectors 91
6.2.1 Parameterizing the Bisectors 91
6.2.2 Storing the Bisector Parameterizations 94
6.3 Representation of the Voronoi Diagram 96
6.3.1 Storing the Incidence Relations 96
6.3.2 On the Maximal Number of Analytic Bisectors 98
6.4 Manipulating Bisectors 100
6.4.1 Determining the Correct Portion of a Conic 100
6.4.2 Computing Bisector Intersections 100
7 The Concept of Monotonous Areas 103
7.1 Introducing Monotonous Areas 104
7.1.1 Denning Monotonous Areas 104
7.1.2 Basic Properties of Monotonous Areas 105
7.2 Determining Monotonous Areas 108
7.2.1 Monotonous Areas and Voronoi Diagrams 108
7.2.2 Algorithm for Determining Monotonous Areas 110
7.3 Implementational Issues 112
7.3.1 Representing Monotonous Areas 112
7.3.2 Handling Parallel Lines and Concentric Arcs 113
8 Generating the Tool Path 115
8.1 Optimal Pass Distance 116
8.1.1 Basic Definitions 116
8.1.2 Characterization of an Optimal Pass Distance 117
8.2 Computing Optimal Offsets 118
8.2.1 Algorithmical Characterization 118
8.2.2 Algorithm 120
8.3 Tool Path Assembly 122
8.3.1 Algorithm 122
8.3.2 Correctness 124
III Direction parallel Milling
0 Constructing the Mesh 129
9.1 The Mesh 130
9.1.1 Definitions 130
9.1.2 Implementation^ Issues 131
9.2 Algorithm for Mesh Generation 131
9.2.1 Basic Outline 131
9.2.2 Algorithm Complexity 134
9.2.3 Incorporating Negative Islands 134
9.3 Computing a (Near) Optimum Inclination 134
9.3.1 Preparations 134
9.3.2 Algorithm 136
10 Generating the Tool Path 139
10.1 Algorithm for Tool Path Generation 140
10.1.1 Basic Outline 140
10.1.2 Correctness 143
10.2 Handling Negative Islands 145
A Examples 147
A.I Contour parallel Milling 148
A.2 Direction parallel Milling 159
List of Figures 165
List of Tables 167
Bibliography 169 |
| any_adam_object | 1 |
| author | Held, Martin 1965- |
| author_GND | (DE-588)1048539105 |
| author_facet | Held, Martin 1965- |
| author_role | aut |
| author_sort | Held, Martin 1965- |
| author_variant | m h mh |
| building | Verbundindex |
| bvnumber | BV004367387 |
| callnumber-first | T - Technology |
| callnumber-label | TJ1225 |
| callnumber-raw | TJ1225 |
| callnumber-search | TJ1225 |
| callnumber-sort | TJ 41225 |
| callnumber-subject | TJ - Mechanical Engineering and Machinery |
| classification_rvk | SS 4800 |
| ctrlnum | (OCoLC)23653720 (DE-599)BVBBV004367387 |
| dewey-full | 671.3/5 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 671 - Metalworking & primary metal products |
| dewey-raw | 671.3/5 |
| dewey-search | 671.3/5 |
| dewey-sort | 3671.3 15 |
| dewey-tens | 670 - Manufacturing |
| discipline | Werkstoffwissenschaften / Fertigungstechnik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2025-01-10T15:06:06Z |
| institution | BVB |
| isbn | 3540541039 0387541039 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002711771 |
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| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-20 DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
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| physical | XII, 178 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computer science |
| series2 | Lecture notes in computer science |
| spelling | Held, Martin 1965- Verfasser (DE-588)1048539105 aut On the computational geometry of pocket machining Martin Held Berlin u.a. Springer 1991 XII, 178 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in computer science 500 CAO inriac Fraiseuses - Commande numérique Informatique ram diagramme Voronoï inriac géométrie algorithmique inriac usinage inriac Milling-machines Numerical control NC-Programmierung (DE-588)4115351-0 gnd rswk-swf Fräsen (DE-588)4018037-2 gnd rswk-swf NC-Fräsen (DE-588)4171354-0 gnd rswk-swf Taschenrechner (DE-588)4059093-8 gnd rswk-swf NC-Maschine (DE-588)4042801-1 gnd rswk-swf Algorithmische Geometrie (DE-588)4130267-9 gnd rswk-swf Fräsen (DE-588)4018037-2 s NC-Programmierung (DE-588)4115351-0 s Algorithmische Geometrie (DE-588)4130267-9 s DE-604 Taschenrechner (DE-588)4059093-8 s NC-Maschine (DE-588)4042801-1 s NC-Fräsen (DE-588)4171354-0 s Lecture notes in computer science 500 (DE-604)BV000000607 500 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002711771&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Held, Martin 1965- On the computational geometry of pocket machining Lecture notes in computer science CAO inriac Fraiseuses - Commande numérique Informatique ram diagramme Voronoï inriac géométrie algorithmique inriac usinage inriac Milling-machines Numerical control NC-Programmierung (DE-588)4115351-0 gnd Fräsen (DE-588)4018037-2 gnd NC-Fräsen (DE-588)4171354-0 gnd Taschenrechner (DE-588)4059093-8 gnd NC-Maschine (DE-588)4042801-1 gnd Algorithmische Geometrie (DE-588)4130267-9 gnd |
| subject_GND | (DE-588)4115351-0 (DE-588)4018037-2 (DE-588)4171354-0 (DE-588)4059093-8 (DE-588)4042801-1 (DE-588)4130267-9 |
| title | On the computational geometry of pocket machining |
| title_auth | On the computational geometry of pocket machining |
| title_exact_search | On the computational geometry of pocket machining |
| title_full | On the computational geometry of pocket machining Martin Held |
| title_fullStr | On the computational geometry of pocket machining Martin Held |
| title_full_unstemmed | On the computational geometry of pocket machining Martin Held |
| title_short | On the computational geometry of pocket machining |
| title_sort | on the computational geometry of pocket machining |
| topic | CAO inriac Fraiseuses - Commande numérique Informatique ram diagramme Voronoï inriac géométrie algorithmique inriac usinage inriac Milling-machines Numerical control NC-Programmierung (DE-588)4115351-0 gnd Fräsen (DE-588)4018037-2 gnd NC-Fräsen (DE-588)4171354-0 gnd Taschenrechner (DE-588)4059093-8 gnd NC-Maschine (DE-588)4042801-1 gnd Algorithmische Geometrie (DE-588)4130267-9 gnd |
| topic_facet | CAO Fraiseuses - Commande numérique Informatique diagramme Voronoï géométrie algorithmique usinage Milling-machines Numerical control NC-Programmierung Fräsen NC-Fräsen Taschenrechner NC-Maschine Algorithmische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002711771&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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