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Ray tracing generalized cylinders
ACM Transactions on Graphics (TOG)
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Computer-Aided Design
Skinning techniques for interactive B-spline surface interpolation
Computer-Aided Design
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SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
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A method for ray tracing a wide class of generalized cylinders with straight line trajectories
CVGIP: Graphical Models and Image Processing
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The Visual Computer: International Journal of Computer Graphics - Special issue on computer graphics international '89(CGI'89)
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SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Scheduled Fourier volume morphing
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A surface-scanning algorithm for displaying generalized cylinders
The Visual Computer: International Journal of Computer Graphics
2-D shape blending: an intrinsic solution to the vertex path problem
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
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CVGIP: Graphical Models and Image Processing
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ACM Transactions on Graphics (TOG)
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
A color animation system: based on the multiplane technique
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
Function Representation for Sweeping by a Moving Solid
IEEE Transactions on Visualization and Computer Graphics
Shape Averaging and it's Applications to Industrial Design
IEEE Computer Graphics and Applications
Modal Matching for Correspondence and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inbetweening for computer animation utilizing moving point constraints
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
The problems of computer-assisted animation
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Interactive multiresolution hair modeling and editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
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ACM SIGGRAPH 2006 Courses
A note on morphological development and transformation of Bézier curves based on ribs and fans
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Epipolar methods for multi-view sketching
SBM'04 Proceedings of the First Eurographics conference on Sketch-Based Interfaces and Modeling
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Generalized cylinders provide a compact representation for modeling many components of natural objects as well as a great variety of human-made industrial parts. This paper presents a new approach to modeling generalized cylinders based on cross-sectional curves defined using Fourier descriptors. This modeling is based on contour interpolation and is implemented using a subdivision technique. The definition of generalized cylinders uses a three-dimensional trajectory which provides an adequate control for the smoothness of bend with a small number of parameters and includes the orientation of each cross-section (i.e, the local coordinate system) in the interpolation framework. Fourier representations of cross-sectional curves are obtained from contours in digital images, and corresponding points are identified by considering angular and arc-length parametrizations. Changes in cross-section shape through the trajectory are performed using Fourier morphing. The technique proposed provides a comprehensive definition that allows the modeling of a wide variety of shapes, while maintaining a compact characterization to facilitate the description of shapes and displays.