Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Object modelling by registration of multiple range images
Image and Vision Computing - Special issue: range image understanding
An optimal algorithm for approximate nearest neighbor searching fixed dimensions
Journal of the ACM (JACM)
Global reparametrization for curve approximation
Computer Aided Geometric Design
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Robot Motion Planning
Computational Line Geometry
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Rapid and accurate computation of the distance function using grids
Journal of Computational Physics
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Parameterization-free active contour models with topology control
The Visual Computer: International Journal of Computer Graphics
Computer Vision and Image Understanding
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Geometric Partial Differential Equations and Image Analysis
Geometric Partial Differential Equations and Image Analysis
Constant cusp height tool paths as geodesic parallels on an abstract Riemannian manifold
Computer-Aided Design
Evolution-based least-squares fitting using Pythagorean hodograph spline curves
Computer Aided Geometric Design
Dual evolution of planar parametric spline curves and T-spline level sets
Computer-Aided Design
Constrained curve fitting on manifolds
Computer-Aided Design
Terrestrial laser scanner to detect landslide displacement fields: a new approach
International Journal of Remote Sensing
Particle Swarm Optimization for Bézier Surface Reconstruction
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
Distance regression by Gauss–Newton-type methods and iteratively re-weighted least-squares
Computing - Geometric Modelling, Dagstuhl 2008
ICCSA'07 Proceedings of the 2007 international conference on Computational science and Its applications - Volume Part II
Method of surface reconstruction using partial differential equations
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Information Sciences: an International Journal
Efficient particle swarm optimization approach for data fitting with free knot B-splines
Computer-Aided Design
Information Sciences: an International Journal
Least–squares approximation by pythagorean hodograph spline curves via an evolution process
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Blank optimization in a stamping process-Influence of the geometry definition
Finite Elements in Analysis and Design
A new iterative mutually coupled hybrid GA-PSO approach for curve fitting in manufacturing
Applied Soft Computing
Shortest path in a multiply-connected domain having curved boundaries
Computer-Aided Design
Exact geodesic metric in 2-manifold triangle meshes using edge-based data structures
Computer-Aided Design
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Industrial Geometry aims at unifying existing and developing new methods and algorithms for a variety of application areas with a strong geometric component. These include CAD, CAM, Geometric Modelling, Robotics, Computer Vision and Image Processing, Computer Graphics and Scientific Visualization. In this paper, Industrial Geometry is illustrated via the fruitful interplay of the areas indicated above in the context of novel solutions of CAD related, geometric optimization problems involving distance functions: approximation with general B-spline curves and surfaces or with subdivision surfaces, approximation with special surfaces for applications in architecture or manufacturing, approximate conversion from implicit to parametric (NURBS) representation, and registration problems for industrial inspection and 3D model generation from measurement data. Moreover, we describe a 'feature sensitive' metric on surfaces, whose definition relies on the concept of an image manifold, introduced into Computer Vision and Image Processing by Kimmel, Malladi and Sochen. This metric is sensitive to features such as smoothed edges, which are characterized by a significant deviation of the two principal curvatures. We illustrate its applications at hand of feature sensitive curve design on surfaces and local neighborhood definition and region growing as an aid in the segmentation process for reverse engineering of geometric objects.