The algorithmic beauty of plants
The algorithmic beauty of plants
Interactive techniques for implicit modeling
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Skeletal design of natural forms
Skeletal design of natural forms
A simple, efficient method for realistic animation of clouds
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Animation of Deformable Models Using Implicit Surfaces
IEEE Transactions on Visualization and Computer Graphics
3D human model and joint parameter estimation from monocular image
Pattern Recognition Letters
Face modeling and wrinkle simulation using convolution surface
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Recover human pose from monocular image under weak perspective projection
ICCV'05 Proceedings of the 2005 international conference on Computer Vision in Human-Computer Interaction
Convolution surfaces based on polygonal curve skeletons
Journal of Symbolic Computation
Visualization of anatomic tree structures with convolution surfaces
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
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Convolution surfaces generalize point-based implicit surfaces to incorporate higher-dimensional skeletal elements; line segments can be considered the most fundamental skeletal elements since they can approximate curve skeletons. Existing analytical models for line-segment skeletons assume uniform weight distributions, and thus they can produce only constant-radius convolution surfaces. This paper presents an analytical solution for convolving line-segment skeletons with a variable kernel modulated by a polynomial function, allowing generalized cylindrical convolution surfaces to be modeled conveniently. Its computational requirement is competitive with that of uniform weight distribution. The source code of the field computation is available online.