Computing offsets of B-spline curves
Computer-Aided Design
Algorithms for polynomials in Bernstein form
Computer Aided Geometric Design
Spline approximation of offset curves
Computer Aided Geometric Design
Offset approximation of uniform B-splines
Computer-Aided Design
Analytic properties of plane offset curves
Computer Aided Geometric Design
Algebraic properties of plane offset curves
Computer Aided Geometric Design
IBM Journal of Research and Development
Offset approximation improvement by control point perturbation
Mathematical methods in computer aided geometric design II
Free form surface analysis using a hybrid of symbolic and numeric computation
Free form surface analysis using a hybrid of symbolic and numeric computation
Design of sculptured surfaces using the b-spline representation
Design of sculptured surfaces using the b-spline representation
Applications of the polynomial s-power basis in geometry processing
ACM Transactions on Graphics (TOG)
Directional offset of a 3D curve
Proceedings of the seventh ACM symposium on Solid modeling and applications
Computational Methods for Geometric Processing. Applications to Industry
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
A Scan Line Algorithm for Rendering Curved Tubular Objects
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Approximation of circular arcs and offset curves by Bézier curves of high degree
Journal of Computational and Applied Mathematics
Euclidean and Minkowski Pythagorean hodograph curves over planar cubics
Computer Aided Geometric Design
Fast continuous collision detection for articulated models
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
A CNC machine tool interpolator for surfaces of cross-sectional design
Robotics and Computer-Integrated Manufacturing
Error analysis of reparametrization based approaches for curve offsetting
Computer-Aided Design
Interactive Continuous Collision Detection Using Swept Volume for Avatars
Presence: Teleoperators and Virtual Environments
Journal of Computational and Applied Mathematics
Computing exact rational offsets of quadratic triangular Bézier surface patches
Computer-Aided Design
Curves and surfaces represented by polynomial support functions
Theoretical Computer Science
Narrow band region-based active contours and surfaces for 2D and 3D segmentation
Computer Vision and Image Understanding
A Local Normal-Based Region Term for Active Contours
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Euclidean and Minkowski Pythagorean hodograph curves over planar cubics
Computer Aided Geometric Design
Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
Computer-Aided Design
Fast, precise flattening of cubic Bézier path and offset curves
Computers and Graphics
Directional offset of a spatial curve for practical engineering design
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Hermite interpolation by hypocycloids and epicycloids with rational offsets
Computer Aided Geometric Design
Tool-path generation of planar NURBS curves
Robotics and Computer-Integrated Manufacturing
Critical point analysis using domain lifting for fast geometry queries
Computer-Aided Design
On rational Minkowski Pythagorean hodograph curves
Computer Aided Geometric Design
Computing offsets of freeform curves using quadratic trigonometric splines
ROCOM'10 Proceedings of the 10th WSEAS international conference on Robotics, control and manufacturing technology
An inexpensive bounding representation for offsets of quadratic curves
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Efficient offset trimming for planar rational curves using biarc trees
Computer Aided Geometric Design
Approximate convolution with pairs of cubic Bézier LN curves
Computer Aided Geometric Design
High-quality curve rendering using line sampled visibility
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Exploring hypersurfaces with offset-like convolutions
Computer Aided Geometric Design
Reducibility of offsets to algebraic curves
Computer Aided Geometric Design
Technical note: Modeling by composition
Computer-Aided Design
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Offset curves have diverse engineering applications, spurring extensive research on various offset techniques. This article is intended to fill an important gap in the literature. In a recent paper on offset curve approximation, the authors suggested a new approach based on approximating the offset circle instead of the offset curve itself. To demonstrate the effectiveness of this approach, they compared it extensively with previous methods, conducting qualitative as well as quantitative comparisons employing various contemporary offset approximation methods for freeform curves in the plane. They measured the efficiency of the offset approximation in terms of the number of control points generated while making the approximations within a prescribed tolerance.