An introduction to the use of splines in computer graphics
An introduction to the use of splines in computer graphics
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Knot removal for B-spline curves
Computer Aided Geometric Design
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
New quadric metric for simplifiying meshes with appearance attributes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Reversing subdivision rules: local linear conditions and observations on inner products
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Non-photorealistic computer graphics: modeling, rendering, and animation
Non-photorealistic computer graphics: modeling, rendering, and animation
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Simulation of smoke based on vortex filament primitives
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
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A progressive curve representation based on reverse subdivision is introduced. Multiresolution structures for common subdivision rules that have both banded reconstruction and decomposition filters are produced. Multiresolution filters are usually applied to the whole curve uniformly, while progressive curves are based on collapse and split operations that can be applied locally on any portion of a curve. In this work, firstly, small width multiresolution filters are constructed based on the reverse of the cubic B-spline subdivision. The collapse and split operations are replaced by a local decomposition and reconstruction process. Second, an efficient algorithm and data structures are presented to allow for the resulting progressive curve. Third, both a user-controlled and an automatic method to select a portion of the curve for reconstruction or decomposition are described. The technique introduced has various applications such as view-dependent rendering, flexible editing and progressive transmission.