IEEE Transactions on Pattern Analysis and Machine Intelligence
Offsetting operations in solid modelling
Computer Aided Geometric Design
Piecewise-circular curves for geometric modeling
IBM Journal of Research and Development
Efficient computation of a simplified medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Projection-homeomorphic surfaces
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Tightening: curvature-limiting morphological simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Mason: morphological simplification
Graphical Models
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Plumber: a method for a multi-scale decomposition of 3D shapes into tubular primitives and bodies
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Computer-Aided Design
b-morphs between b-compatible curves in the plane
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Ball-Morph: Definition, Implementation, and Comparative Evaluation
IEEE Transactions on Visualization and Computer Graphics
SMI 2012: Full Curvature-based offset distance: Implementations and applications
Computers and Graphics
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Constant radius offsetting and blending operations are important for digital shape and image processing. They may be formulated using Minkowski sums with a ball of fixed radius. We review their extensions to variable distance offsetting. Specifically, we compare three different formulations of variable distance offsetting for planar shapes: orthogonal, radial, and ball. We discuss compatibility conditions that specify when a shape is the offset of another. We also discuss the applications of these formulations for computing the average and morph of two shapes and the centerline of an elongated shape. Finally, we discuss a set theoretic formulation of a variable radius blending of a shape.