[PDF][PDF] 几何约束求解研究综述

高小山, 蒋鲲 - 计算机辅助设计与图形学学报, 2004 - mmrc.iss.ac.cn
摘要综述了几何约束求解的历史发展, 研究现状和应用= 对常见的# 类求解方法:
数值计算的方法, 符号计算的方法, 基于规则的方法, 基于图论的方法做了详细的介绍 …

Variational direct modeling: A framework towards integration of parametric modeling and direct modeling in CAD

Q Zou, HY Feng, S Gao - Computer-Aided Design, 2023 - Elsevier
Feature-based parametric modeling is the de facto standard in CAD. Boundary
representation-based direct modeling is another CAD paradigm developed recently. They …

Decomposition of geometric constraint systems: a survey

C Jermann, G Trombettoni, B Neveu… - International Journal of …, 2006 - World Scientific
Significant progress has been accomplished during the past decades about geometric
constraint solving, in particular thanks to its applications in industrial fields like CAD and …

A decision-support method for multi-parameter editing of parametric CAD models

Z Tang, Q Zou, S Gao - Advanced Engineering Informatics, 2023 - Elsevier
Parametric modeling is a computer-aided design (CAD) paradigm where a design can be
created by defining geometric constraints with parameters. In design change as well as …

Higher-order intuitionistic formalization and proofs in Hilbert's elementary geometry

C Dehlinger, JF Dufourd, P Schreck - … 25–27, 2000 Revised Papers 3, 2001 - Springer
We propose the basis of a higher-order logical framework to axiomatize and build proofs in
Hilbert's elementary geometry in which intuitionistic aspects are emphasized. More …

A C-tree decomposition algorithm for 2D and 3D geometric constraint solving

XS Gao, Q Lin, GF Zhang - Computer-Aided Design, 2006 - Elsevier
In this paper, we propose a method which can be used to decompose a 2D or 3D constraint
problem into a C-tree. With this decomposition, a geometric constraint problem can be …

Image analysis and computer vision: 1998

A Rosenfeld - Computer vision and image understanding, 1999 - Elsevier
This paper presents a bibliography of over 2250 references related to computer vision and
image analysis, arranged by subject matter. The topics covered include computational …

Variational B-rep model analysis for direct modeling using geometric perturbation

Q Zou, HY Feng - Journal of Computational Design and …, 2019 - academic.oup.com
The very recent CAD paradigm of direct modeling gives rise to the need of processing 3D
geometric constraint systems defined on boundary representation (B-rep) models. The major …

Sketch-based pruning of a solution space within a formal geometric constraint solver

C Essert-Villard, P Schreck, JF Dufourd - Artificial Intelligence, 2000 - Elsevier
In CAD systems, formal geometric solvers enable the designer to draw a sketch and to
provide constraints that are compiled into a construction plan by symbolic geometric …

Extensions of the witness method to characterize under-, over-and well-constrained geometric constraint systems

SEB Thierry, P Schreck, D Michelucci, C Fünfzig… - Computer-Aided …, 2011 - Elsevier
This paper describes new ways to tackle several important problems encountered in
geometric constraint solving, in the context of CAD, and which are linked to the handling of …