Multi-Resolution Modeling of Feature-Based Solids Based on Non-Manifold Topological Framework

2005 ◽  
Author(s):  
Sang Hun Lee ◽  
Kyu-Yeul Lee
Keyword(s):  
Collaborative Design ◽  
Virtual Prototyping ◽  
Boolean Operations ◽  
New Approach ◽  
Levels Of Detail ◽  
Solid Models ◽  
History Of ◽  
Feature Based ◽  
Multiresolution Modeling ◽  
Commutative Property

The requirements of multi-resolution models of feature-based solids, which represent an object at many levels of feature detail, are increasing for engineering purposes, such as analysis, network-based collaborative design, virtual prototyping and manufacturing. To provide multi-resolution models for various applications, it is essential to generate adequate solid models at varying levels of detail (LOD) after feature rearrangement, based on the LOD criteria. However, the non-commutative property of the union and subtraction Boolean operations is a severe obstacle to arbitrary feature rearrangement. To solve this problem we propose a new approach based on the non-manifold topological representation and the merge-and-select algorithm for non-manifold Boolean operations. In this approach, the merge-and-select algorithm is modified to satisfy the commutative law between union and subtraction operations by considering the history of the Boolean operations. Because this algorithm guarantees the same resulting shape as the original and reasonable shapes at the intermediate LODs for an arbitrary rearrangement of its features, various LOD criteria can be applied for multiresolution modeling in different applications.

Feature-Based Solid Model Reconstruction

2013 ◽  
Vol 13 (1) ◽  
Author(s):  
Jun Wang ◽  
Dongxiao Gu ◽  
Zhanheng Gao ◽  
Zeyun Yu ◽  
Changbai Tan ◽  
...  
Keyword(s):  
Model Building ◽  
Parameter Extraction ◽  
Solid Model ◽  
Model Reconstruction ◽  
Reconstruction Process ◽  
Input Surface ◽  
Solid Models ◽  
History Of ◽  
Feature Based ◽  
Complete History

In this paper, we propose an effective solution to reconstruct solid models of existing objects. Specifically, we convert the model reconstruction problem into the issue of feature parameter extraction, and thereby design diverse methods to extract the parameters of basic design features from input surface meshes. After extracting the feature parameters, the corresponding features are constructed. By performing modeling operations on those features, the final solid model is constructed, and meanwhile the complete history of the model building operations is recorded. By introducing the concepts of “feature,” “constraint,” and “modeling history” into the reconstruction process, the design intent is captured and hence represented in the reconstructed model. As a result, the model is geometrically accurate and topologically consistent, and moreover it is flexibly editable, which makes it convenient to carry out model redesign and modification for the innovation applications. A variety of experimental results demonstrate the effectiveness and robustness of this solution.

A new approach to the logic of discovery

2007 ◽  
Vol 50 (1) ◽  
pp. 7-27
Author(s):  
Gerald Massey
Keyword(s):  
Modal Logic ◽  
Scientific Discovery ◽  
Traditional View ◽  
New Approach ◽  
Logic Of Discovery ◽  
Good Fortune ◽  
High Incidence ◽  
History Of ◽  
Deep Sense

Contending that the quest for a logic of scientific discovery was prematurely abandoned, the author lays down eight phenomena that such a logic or theory must explain: the banality of scientific discovery; the trainability of scientists; the high incidence of simultaneous discoveries; the ubiquity of relative novices; the fact of scientific genius; the barrenness of isolated workers; the incommensurability of concepts of successive theories; and the quasi-incorporation of old concepts, objects, and methods in successor theories, The author then presents a new theory or logic of discovery according to which discoveries are the termini of "tweak paths" generated when scientists "tinker" with the laws, concepts, methods, and instruments of a given theory. Tinkering and tweaking are illustrated by examples from many-valued and modal logic and from Darwinian biology. Through the history of planetary discovery, the accidental role played by luck or good fortune in some discoveries is explored, but the author emphasizes that in a deep sense serendipity is an in eliminable feature of all scientific discovery because scientists never know m advance whether their tweaks will lead to dead ends or to positive developments. The author's new theory of scientific discovery is shown to account for all eight explananda, ft also reveals science to be a more egalitarian enterprise than the traditional view of scientific discovery as ultimately inexplicable depicts it.

GLOSSING THE GLOSS: READING PETER LOMBARD’SCOLLECTANEAON THE PAULINE EPISTLES AS A HISTORICAL ACT

Traditio ◽  
2018 ◽  
Vol 73 ◽  
pp. 83-116
Author(s):  
PETER O'HAGAN
Keyword(s):  
Early Modern ◽  
Biblical Text ◽  
Classroom Activity ◽  
New Approach ◽  
Central Focus ◽  
Recent Scholarship ◽  
Pauline Epistles ◽  
History Of ◽  
Extended Analysis

Peter Lombard's influential commentary on the Pauline Epistles, theCollectanea in omnes divi Pauli epistolas,has received little extended analysis in scholarly literature, despite its recognized importance both in its own right and as key for the development of hisSentences.This article presents a new approach to studying theCollectaneaby analyzing how Lombard's commentary builds on theGlossa “Ordinaria”on the Pauline Epistles. The article argues for treating theCollectaneaas a “historical act,” focusing on how Lombard engages with the biblical text and with authoritative sources within which he encounters the same biblical text embedded. The article further argues for the necessity of turning to the manuscripts of both theCollectaneaand theGlossa,rather than continuing to rely on inadequate early modern printed editions or thePatrologia Latina.The article then uses Lombard's discussion of faith at Romans 1:17 as a case study, demonstrating the way in which Lombard begins from theGlossa,clarifies its ambiguities, and moves his analysis forward through his use of otherauctoritatesand theologicalquaestiones.A comparison with Lombard's treatment of faith in theSentenceshighlights the close links between Lombard's biblical lectures and this later work. The article concludes by arguing that scholastic biblical exegesis and theology should be treated as primarily a classroom activity, with the glossed Bible as the central focus. Discussion of Lombard's work should draw on much recent scholarship that has begun to uncover the layers of orality within the textual history of scholastic works.

A Hybrid Analytical, Solid Modeler and Feature-Based Methodology for Extracting Tool-Workpiece Engagements in Turning

2007 ◽  
Vol 7 (3) ◽  
pp. 192-202 ◽  
Author(s):  
Jing Zhou ◽  
Derek Yip-Hoi ◽  
Xuemei Huang
Keyword(s):  
Analytical Solution ◽  
Critical Points ◽  
Cutting Forces ◽  
Cutting Tool ◽  
Critical Component ◽  
Turning Process ◽  
Boolean Operations ◽  
Feature Based ◽  
Solid Modeler ◽  
Turning System

In order to optimize turning processes, cutting forces need to be accurately predicted. This in turn requires accurate extraction of the geometry of tool-workpiece engagements (TWE) at critical points during machining. TWE extraction is challenging because the in-process workpiece geometry is continually changing as each tool pass is executed. This paper describes research on a hybrid analytical, solid modeler, and feature-based methodology for extracting TWEs generated during general turning. Although a pure solid modeler-based solution can be applied, it will be shown that because of the ability to capture different cutting tool inserts with similar geometry and to model the process in 2D, an analytical solution can be used instead of the solid modeler in many instances. This solution identifies features in the removal volumes, where the engagement conditions are not changing or changing predictably. This leads to significant reductions in the number of Boolean operations that are executed during the extraction of TWEs and associated parameters required for modeling a turning process. TWE extraction is a critical component of a virtual turning system currently under development.

Midsurface Abstraction From 3D Solid Models for Engineering Analysis

1996 ◽  
Author(s):  
Mohsen Rezayat
Keyword(s):  
Feature Recognition ◽  
Analysis Model ◽  
Thin Sections ◽  
New Approach ◽  
Solid Models ◽  
Product And Process ◽  
Plastic Parts ◽  
3D Solid ◽  
User Friendly ◽  
Analysis Models

Abstract An integral part of implementing parallel product and process designs is simulation through numerical analysis. This simulation-driven design requires discretization of the 3D part in an appropriate manner. If the part is thin or has thin sections (e.g., plastic parts), then an analysis model with reduced dimensionality may be more accurate and economical than a standard 3D model. In addition, substantial simplification of some details in the design geometry may be beneficial and desirable in the analysis model. Unfortunately, the majority of CAD systems do not provide the means for abstraction of appropriate analysis models. In this paper we present a new approach, based on midsurface abstraction, which holds significant promise in simplifying simulation-driven design. The method is user-friendly because very little interaction is required to guide the software in its automatic creation of the desired analysis model. It is also robust because it handles typical parts with complex and interacting features. Application of the method for feature recognition and abstraction is also briefly discussed.

scholarly journals RESENSI BUKU : A NEW APPROACH TO TEXTUAL CRITICISM : AN INTRODUCTION TO THE COHERENCE-BASED GENEALOGICAL METHOD

2020 ◽  
Vol 6 (2) ◽  
Author(s):  
STEFANUS KRISTIANTO
Keyword(s):  
New Testament ◽  
Textual Criticism ◽  
New Approach ◽  
The New Testament ◽  
History Of

Secara garis besar, buku ini terdiri atas enam bab utama. Bab pertama merupakan bagian pengantar yang menyentuh tiga aspek penting. Pertama, bab ini memberi pengenalan awal tentang apa itu CBGM. Secara ringkas, Wasserman dan Gurry mendefinisikan CBGM sebagai “a method that (1) uses a set of cumputer tools (2) based in a new way of relating manuscript texts that is (3) designed to help us understand the origin and history of the New Testament text.” (hal. 3). Jadi, seperti harapan Epp, metode ini mengkombinasikan penggunaan komputer dan pendekatan kuantitatif di beberapa bagian. Wasserman dan Gurry kemudian menggaris bawahi bahwa hal baru yang ditawarkan CBGM ialah bagaimana cara metode ini menghubungkan teks antar naskah. Pendekatan ini menggunakan prinsip dasar bahwa teks antar naskah bisa saling dihubungkan dengan menggunakan hubungan antar variannya. Kedua, bab ini juga menjelaskan secara singkat lima perubahan yang dibawa CBGM. Selain perubahan teks kritikal Yunani di beberapa tempat, CBGM juga menyebabkan munculnya ketidakpastian mengenai teks awal (initial text) di beberapa tempat. Bukan hanya itu, CBGM ternyata juga mendorong penolakan terhadap kategori tipe teks (atau kluster teks menurut Epp), meningkatnya apresiasi terhadap teks Byzantine, dan berubahnya tujuan utama Kritik Teks (meski sangat tipis). Bab ini kemudian ditutup dengan pembahasan aspek ketiga, yakni alasan mengapa buku ini ditulis. Sederhananya, buku ini ditulis untuk mereka yang optimis terhadap potensi CBGM (tetapi tidak mengerti bagaimana menggunakannya) dan juga mereka yang cenderung negatif terhadap CBGM. Buku ini diharapkan menjadi penolong kedua kelompk tersebut memahami CBGM lebih baik.

scholarly journals Práticas matemáticas inscritas em cadernos escolares: o caso das fraçõesMathematical practices inscribed in school notebooks: the case of fractions

2020 ◽  
Vol 22 (2) ◽  
pp. 751-788
Author(s):  
Francine Fragoso de Miranda Silva ◽  
Cláudia Regina Flores ◽  
Rosilene Beatriz Machado
Keyword(s):  
Michel Foucault ◽  
History Of Mathematics ◽  
Historical Context ◽  
Santa Catarina ◽  
Mathematical Practices ◽  
New Approach ◽  
History Of ◽  
The 1960S ◽  
The Relationship ◽  
The City

ResumoEste artigo tem por objetivo identificar e analisar práticas matemáticas inscritas em cadernos escolares de uma escola mista estadual do município de Antônio Carlos (SC), nas décadas de 1930 e 1940, com enfoque dado para as frações. São utilizadas as teorizações de Michel Foucault para nortear os preceitos teórico-metodológicos. Os resultados da pesquisa indicam práticas matemáticas desenvolvidas nessa escola obedecendo aos programas oficiais catarinenses da época, com soluções rápidas e sucintas e voltadas às tarefas de seu cotidiano. Também se observam que elas estão inseridas num contexto histórico, compreendido entre a Reforma Francisco Campos, de 1931, e o início do Movimento da Matemática Moderna, nos anos de 1960, no qual a fração recebe uma nova abordagem, distanciando-se da relação entre número e medida e aproximando-se da noção de parte-todo.Palavras-chave: Práticas matemáticas, Cadernos escolares, Frações, História da educação matemática.AbstractThis article aims to identify and analyze mathematical practices registered in school notebooks of a mixed state school in the city of Antônio Carlos (SC), in the 1930s and 1940s, focused on fractions. Michel Foucault's theorizations are used to guide theoretical and methodological precepts. The results of the research show mathematical practices developed in these schools obeying the Santa Catarina official programs of the time, with quick and succinct solutions and focused on their daily tasks. It is also observed that they are inserted in a historical context, between the Francisco Campos Reform, of 1931, and the beginning of the Modern Mathematics Movement, in the 1960s, in which the fraction receives a new approach, moving away from the relationship between number and measure and approaching the notion of part-whole.Keywords: Mathematical practices, School notebooks, Fractions, History of mathematics education.ResumenEste artículo tiene como objetivo identificar y analizar las prácticas matemáticas registradas en los cuadernos escolares de una escuela estatal mixta en la ciudad de Antônio Carlos (SC), en la década de 1930 y 1940, con un enfoque en las fracciones. Las teorizaciones de Michel Foucault se utilizan para guiar los preceptos teóricos y metodológicos. Los resultados de la investigación muestran prácticas matemáticas desarrolladas en estas escuelas que obedecen los programas oficiales de Santa Catarina de la época, con soluciones rápidas y sucintas y centradas en sus tareas diarias. También se observa que se insertan en un contexto histórico, entre la Reforma Francisco Campos, de 1931, y el comienzo del Movimiento de Matemáticas Modernas, en la década de 1960, en el que la fracción recibe un nuevo enfoque, alejándose de la relación entre numerar y medir y acercándose a la noción de parte-todo.Palabras clave: Prácticas matemáticas, Cuadernos escolares, Fracciones, Historia de la educación matemática

Web-Enabled Feature-Based Modeling in a Distributed Design Environment

1999 ◽  
Author(s):  
Jae Yeol Lee ◽  
Hyun Kim ◽  
Sung-Bae Han
Keyword(s):  
Collaborative Design ◽  
Feature Modeling ◽  
Feature Model ◽  
Internet Technology ◽  
Global Network ◽  
Dynamic Feature ◽  
Distributed Design ◽  
Product Modeling ◽  
Design Environment ◽  
Feature Based

Abstract Network and Internet technology open up another domain for building future CAD/CAM environments. The environment will be global, network-centric, and spatially distributed. In this paper, we present Web-enabled feature-based modeling in a distributed design environment. The presented approach combines the current feature-based modeling technique with distributed computing and communication technology for supporting product modeling and collaborative design activities over the network. The approach is implemented in a client/server architecture, in which Web-enabled feature modeling clients, neutral feature model server, and other applications communicate with one another via a standard communication protocol. The paper discusses how the neutral feature model supports multiple views and maintains naming consistency between geometric entities of the server and clients as the user edits the part in a client. Moreover, it explains how to minimize the network delay between the server and client according to dynamic feature modeling operations.

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