B-spline scale-space of spline curves and surfaces

Authors:
C. Y. Kee;S. L. Lee
Affiliations:
Temasek Laboratories, National University of Singapore, T-Lab Building, 5A, Engineering Drive 1, #09-02, Singapore 117411, Singapore;Department of Mathematics, S17, National University of Singapore, 10 Kent Ridge Road, Singapore 119076, Singapore
Venue:
Computer-Aided Design
Year:
2012

Citing 10
Cited 1

Computer graphics and geometric modeling using Beta-splines

Computer graphics and geometric modeling using Beta-splines
Scale-Space Derived From B-Splines

IEEE Transactions on Pattern Analysis and Machine Intelligence
NURBS: From Projective Geometry to Practical Use

NURBS: From Projective Geometry to Practical Use
Bezier and B-Spline Techniques

Bezier and B-Spline Techniques
Linear Scale-Space has First been Proposed in Japan

Journal of Mathematical Imaging and Vision
Scale-space filtering

IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery

SIAM Journal on Scientific Computing
Subdivision algorithms for the generation of box spline surfaces

Computer Aided Geometric Design
Discrete box splines and refinement algorithms

Computer Aided Geometric Design
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces

IEEE Transactions on Pattern Analysis and Machine Intelligence

Full length article: Singular integrals, scale-space and wavelet transforms

Journal of Approximation Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present iterative algorithms for B-spline scale-space smoothing of geometric data and recovery of high frequency information in the smoothing process. The scale-space representation is based on a directional smoothing process using B-splines. If the geometric data are approximated or modelled by uniform B-splines or box-splines then the scale-space smoothing produces B-spline curves or box-spline surfaces. The method is applicable to geometric data processing and geometric modelling of free-form curves and surfaces from quadrilateral polyhedra with extraordinary vertices.