Shape intrinsic fingerprints for free-form object matching
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Geometric computations in parameter space
Proceedings of the 21st spring conference on Computer graphics
Computing the convolution and the Minkowski sum of surfaces
Proceedings of the 21st spring conference on Computer graphics
Accuracy and semantics in shape-interrogation applications
Graphical Models - Solid modeling theory and applications
Curvature formulas for implicit curves and surfaces
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
A higher dimensional formulation for robust and interactive distance queries
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Complete subdivision algorithms, I: intersection of Bezier curves
Proceedings of the twenty-second annual symposium on Computational geometry
Lines of Curvature for Polyp Detection in Virtual Colonoscopy
IEEE Transactions on Visualization and Computer Graphics
The Medial Scaffold of 3D Unorganized Point Clouds
IEEE Transactions on Pattern Analysis and Machine Intelligence
Residual iteration and accurate polynomial evaluation for shape-interrogation applications
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Developability-preserved free-form deformation of assembled patches
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Tracing surface intersections with validated ODE system solver
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
An offset algorithm for polyline curves
Computers in Industry
Computing roots of polynomials by quadratic clipping
Computer Aided Geometric Design
A framework for the automatic annotation of car aesthetics
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
Quality metrics for geologic grid structures
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Moving parabolic approximation of point clouds
Computer-Aided Design
Constrained design of polynomial surfaces from geodesic curves
Computer-Aided Design
Analysis of validated error bounds of surface-to-surface intersection
Computer-Aided Design
The visual hull of piecewise smooth objects
Computer Vision and Image Understanding
Remarks on the geometric properties of trivariate maps
MATH'07 Proceedings of the 11th WSEAS International Conference on Applied Mathematics
Symbolic Manipulation of Bspline Basis Functions with Mathematica
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Topological Neighborhoods for Spline Curves: Practice & Theory
Reliable Implementation of Real Number Algorithms: Theory and Practice
Homotopy Conditions for Tolerant Geometric Queries
Reliable Implementation of Real Number Algorithms: Theory and Practice
Good local behavior of offsets to rational regular algebraic surfaces
Journal of Symbolic Computation
An epitrochoidal pocket-A new canned cycle for CNC milling machines
Robotics and Computer-Integrated Manufacturing
Computing the minimum distance between a point and a NURBS curve
Computer-Aided Design
Computer Aided Geometric Design
Subdivision methods for solving polynomial equations
Journal of Symbolic Computation
Computing the minimum distance between two Bézier curves
Journal of Computational and Applied Mathematics
Point-tangent/point-normal B-spline curve interpolation by geometric algorithms
Computer-Aided Design
Computing surface offsets and bisectors using a sampled constraint solver
Proceedings of Graphics Interface 2009
On NURBS algorithms using tangent cones
Computer Aided Geometric Design
Tracing ridges on B-Spline surfaces
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Computing lines of curvature for implicit surfaces
Computer Aided Geometric Design
Curvature formulas for implicit curves and surfaces
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Intersecting a freeform surface with a general swept surface
Computer-Aided Design
Computing minimum distance between two implicit algebraic surfaces
Computer-Aided Design
Industrial geometry: recent advances and applications in CAD
Computer-Aided Design
Curvature and torsion estimators based on parametric curve fitting
Computers and Graphics
Some applications of scalar and vector fields to geometric processing of surfaces
Computers and Graphics
Medial axis of a planar region by offset self-intersections
Computer-Aided Design
Local and singularity-free G 1 triangular spline surfaces using a minimum degree scheme
Computing - Geometric Modelling, Dagstuhl 2008
Extracting Principal Curvature Ridges from B-Spline Surfaces with Deficient Smoothness
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
A new differential approach for parametric-implicit surface intersection
ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
Critical point analysis using domain lifting for fast geometry queries
Computer-Aided Design
LSM: A layer subdivision method for deformable object matching
Information Sciences: an International Journal
Computing the Hausdorff distance between two B-spline curves
Computer-Aided Design
Curve interpolation based on the canonical arc length parametrization
Computer-Aided Design
SMI 2011: Full Paper: Feature based volumes for implicit intersections
Computers and Graphics
Offsetting revolution surfaces
ADG'08 Proceedings of the 7th international conference on Automated deduction in geometry
Parametric representation of a surface pencil with a common line of curvature
Computer-Aided Design
Technical Section: Real-time ray casting of algebraic B-spline surfaces
Computers and Graphics
GPU-based parallel solver via the Kantorovich theorem for the nonlinear Bernstein polynomial systems
Computers & Mathematics with Applications
Information Sciences: an International Journal
Computing curve intersection by homotopy methods
Journal of Computational and Applied Mathematics
Efficient particle swarm optimization approach for data fitting with free knot B-splines
Computer-Aided Design
SIAM Journal on Scientific Computing
Spline surface intersections optimized for GPUs
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
Local shape of generalized offsets to algebraic curves
Journal of Symbolic Computation
Challenges in computer applications for ship and floating structure design and analysis
Computer-Aided Design
Matlab-based problem-solving environment for geometric processing of surfaces
ICMS'06 Proceedings of the Second international conference on Mathematical Software
Fat arcs for implicitly defined curves
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Detection of surface creases in range data
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Information Sciences: an International Journal
Two-dimensional selections for feature-based data exchange
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Robustly computing intersection curves of two canal surfaces with quadric decomposition
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Approximating algebraic space curves by circular arcs
Proceedings of the 7th international conference on Curves and Surfaces
B-spline surface fitting by iterative geometric interpolation/approximation algorithms
Computer-Aided Design
Advancing front circle packing to approximate conformal strips
Computational Geometry: Theory and Applications
A new iterative mutually coupled hybrid GA-PSO approach for curve fitting in manufacturing
Applied Soft Computing
An approach for designing a developable surface through a given line of curvature
Computer-Aided Design
Implicitization of curves and (hyper)surfaces using predicted support
Theoretical Computer Science
Comprehensive study of intersection curves in R4 based on the system of ODEs
Journal of Computational and Applied Mathematics
A second order geometric method for ray/parametric surface intersection
Computer Aided Geometric Design
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From the Publisher:Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.