Geometric modeling
Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Animated free-form deformation: an interactive animation technique
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Image metamorphosis using snakes and free-form deformations
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Development of a new rapid prototyping interface
Computers in Industry - Special issue on rapid prototyping and manufacturing technologies
Numerical Recipes in C++: the art of scientific computing
Numerical Recipes in C++: the art of scientific computing
Principles of CAD/CAM/CAE Systems
Principles of CAD/CAM/CAE Systems
Image Metamorphosis with Scattered Feature Constraints
IEEE Transactions on Visualization and Computer Graphics
Scattered Data Interpolation with Multilevel B-Splines
IEEE Transactions on Visualization and Computer Graphics
NURBS-Based Free-Form Deformations
IEEE Computer Graphics and Applications
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Large mesh deformation using the volumetric graph Laplacian
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics
ACM SIGGRAPH 2007 papers
GPU-assisted positive mean value coordinates for mesh deformations
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Advances in Engineering Software
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In this research, a method is presented for generating a deformed model satisfying given error criteria from an STL model in a triangular-mesh representation suitable for rapid prototyping (RP) processes. A deformed model is a non-uniformly modified shape from a base STL model. In developing a family product with various sizes such as a shoe, sometimes prototypes for all sizes should be made using an RP machine. Although an STL model is generated from a solid model, it is well known that creating a non-uniformly modified solid model from a base solid model is very difficult. Generally there are some gaps between surfaces after modification, and stitching the gaps is very difficult. To solve this problem, the authors explored the possibility of generating a deformed STL model directly from a base STL model. This research includes a data structure for modifying the STL model, checking the error of a modified edge compared with the exact non-uniformly scaled curve, checking the error of a modified facet compared with the exact non-uniformly scaled surface, and splitting a facet with an error greater than the allowable tolerance. Using the results of this research, the difficult work of creating solid models to build non-uniformly deformed STL models could be avoided.