Geometric modeling
The NURBS book
Feature-based similarity assessment of solid models
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Automatic mesh pre-optimization based on the geometric discretization error
Advances in Engineering Software
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
3D Model Retrieval with Spherical Harmonics and Moments
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Shape-Similarity Search of 3D Models by using Enhanced Shape Functions
TPCG '03 Proceedings of the Theory and Practice of Computer Graphics 2003
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Machining Feature-Based Comparisons of Mechanical Parts
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Three-dimensional shape searching: state-of-the-art review and future trends
Computer-Aided Design
Technical Section: Automatic discovery of common design structures in CAD models
Computers and Graphics
Design reuse oriented partial retrieval of CAD models
Computer-Aided Design
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Automatically detecting modifications between CAD models has many potential applications in product development processes. Tracing modifications throughout the design and manufacturing cycle of a new product, based on CAD/CAM/CAE tools, is one of these applications. Easily retrieving and reusing existing designs, along with engineering data associated, is another very interesting perspective. In this direction, several methods have been proposed, aimed at the quantification of similarity between existing CAD models. These methods are based on using shape descriptors, with a specific focus on invariance to affine transformations. However, these methods are dedicated to discriminating, clustering and retrieving CAD models, and not to accurately identifying and locating differences between models. Such an automatic identification of differences between CAD models is of great practical interest for many applications but making it invariant to affine transformations is very complex. This paper proposes new shape descriptors that are focused on this invariance. These descriptors use vector-based representations of geometry, which can be successfully applied for accurate, local and automatic comparisons between CAD models. The potential of these descriptors is illustrated in the specific context of automatic remeshing, which is the initial purpose for which they have been designed. The result demonstrates that this vector-based representation of geometry can contribute, possibly in conjunction with other shape descriptors, to setting up powerful and efficient CAD model comparison tools.