Geometric modeling
SIAM Journal on Computing
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
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
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Primitives for the manipulation of general subdivisions and the computation of Voronoi
ACM Transactions on Graphics (TOG)
Computational geometry in C (2nd ed.)
Computational geometry in C (2nd ed.)
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
The synthesis of solids bounded by many faces
Communications of the ACM
Real-time 3D model acquisition
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
IEEE Computer Graphics and Applications
Analysis of triangle quality measures
Mathematics of Computation
Computer Graphics and Geometric Modelling: Mathematics
Computer Graphics and Geometric Modelling: Mathematics
Efficiently combining positions and normals for precise 3D geometry
ACM SIGGRAPH 2005 Papers
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
Foundations of Multidimensional and Metric Data Structures (The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling)
Straightest geodesics on polyhedral surfaces
ACM SIGGRAPH 2006 Courses
Example-based 3D scan completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Classroom examples of robustness problems in geometric computations
Computational Geometry: Theory and Applications
Constraint Shortest Path Computation on Polyhedral Surfaces
ICVGIP '08 Proceedings of the 2008 Sixth Indian Conference on Computer Vision, Graphics & Image Processing
A polyhedron representation for computer vision
AFIPS '75 Proceedings of the May 19-22, 1975, national computer conference and exposition
Offsetting operations on non-manifold topological models
Computer-Aided Design
Automated trimmed iterative closest point algorithm
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
The digital michelangelo project
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Mathematical and Computer Modelling: An International Journal
Building a digital model of Michelangelo's Florentine Pieta
IEEE Computer Graphics and Applications
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Experience from geometric modeling course based on a specific teaching medium, namely trochlear surface reconstruction from laser scans, its evaluation in terms of shape feature measurements and finally its instantiation through 3D printing, are presented. Laser scanner acquisition, reconstruction and 3D printing lend well to teaching general concepts in geometric modeling for several reasons. First, starting and ending with real physical 3D objects (the talus and its 3D print) provide in addition to the classical visual feedback a material feedback for correctness of treatments all over the pipeline. Second, the notion of error during each step of the pipeline is illustrated in a very intuitive way through length measurements, manual ones with callipers on the tali, and numerical ones with arc and chord lengths on the numerical reconstructions. Third, students are involved with challenging scientific problems and produce semester-long projects included in larger scaled project of cultural heritage preservation. Our believe is that this approach gives a deeper understanding of both theoretical and application issues in geometric modeling.