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Journal ArticleDOI

Solid Modeling: A Historical Summary and Contemporary Assessment

Requicha, +1 more
- 01 Feb 1982 - 
- Vol. 2, Iss: 2, pp 9-24
TLDR
A new generation of industrial geometry systems is emerging based on the technology of the 1970's, which will require more research in the generations of the eighties and nineties.
Abstract
A new generation of industrial geometry systems is emerging based on the technology of the 1970's. The generations of the eighties and nineties will require more research.

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Citations
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Journal ArticleDOI

Free-form deformation of solid geometric models

TL;DR: A technique is presented for deforming solid geometric models in a free-form manner based on trivariate Bernstein polynomials, and provides the designer with an intuitive appreciation for its effects.
Journal ArticleDOI

Three-dimensional object recognition

TL;DR: In this paper, a precise definition of the 3D object recognition problem is proposed, and basic concepts associated with this problem are discussed, and a review of relevant literature is provided.
Journal ArticleDOI

Particle Systems—a Technique for Modeling a Class of Fuzzy Objects

TL;DR: Particle systems is introduced--a method for modeling fuzzy objects such as fire, clouds, and water that is able to represent motion, changes of form, and dynamics that are not possible with classical surface-based representations.
Book

Three-Dimensional Computer Vision

TL;DR: A complete production system is proposed which makes use of unified geometric models to be shared by CAD, CAM, and visual processing, and can solve a second difficulty in applying 3-dimensional computer vision to industry, namely the problem of the extensive programming effort.
Journal ArticleDOI

Qualitative Spatial Representation and Reasoning: An Overview

TL;DR: The paper is a overview of the major qualitative spatial representation and reasoning techniques including ontological aspects, topology, distance, orientation and shape, and qualitative spatial reasoning including reasoning about spatial change.
References
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Journal ArticleDOI

Recursively generated B-spline surfaces on arbitrary topological meshes

TL;DR: The method is presented as a generalization of a recursive bicubic B-spline patch subdivision algorithm, which generates surfaces that approximate points lying-on a mesh of arbitrary topology except at a small number of points, called extraordinary points.
Dissertation

Machine perception of three-dimensional solids,

TL;DR: Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering, 1963.
Journal ArticleDOI

Representations for Rigid Solids: Theory, Methods, and Systems

TL;DR: A coherent view, based on sound theoretical principles, of what is presently known about the representation of solids is provided by providing a simple mathematical framework for characterizing certain important aspects of representations, for example, their semantic (geometric) integrity.
Book

Principles of Interactive Computer Graphics

TL;DR: The principles of interactive computer graphics are discussed in this article, where the authors propose a set of principles for the development of computer graphics systems, including the principles of Interactive Computer Graphics (ICG).
Journal ArticleDOI

Behaviour of recursive division surfaces near extraordinary points

TL;DR: In this article, the behaviour of the limits surface defined by a recursive division construction can be analyzed in terms of the eigenvalues of a set of matrices, and suggestions for the further improvement of the method are made.