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Mathematical morphological operations of boundary-represented geometric objects

https://doi.org/10.1007/bf00119839

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot

Computational Geometry

inferredcites →https://doi.org/10.1007/bf02187878openalex-snapshot

Computing convolutions by reciprocal search

inferredcites →https://doi.org/10.1016/0020-0190(81)90051-xopenalex-snapshot

Finding the minimum distance between two convex polygons

inferredcites →https://doi.org/10.1016/0146-664x(82)90078-8openalex-snapshot

Image analysis and mathematical morphology

inferredcites →https://doi.org/10.1016/0734-189x(88)90123-5openalex-snapshot

A mathematical model for shape description using Minkowski operators

inferredcites →https://doi.org/10.1016/0734-189x(90)90160-wopenalex-snapshot

A solution of polygon containment, spatial planning, and other related problems using Minkowski operations

inferredcites →https://doi.org/10.1016/1049-9660(91)90078-4openalex-snapshot

An algebra of polygons through the notion of negative shapes

inferredcites →https://doi.org/10.1090/conm/119/1113900openalex-snapshot

Vision, geometry, and Minkowski operators

inferredcites →https://doi.org/10.1109/38.156011openalex-snapshot

Solid modeling and beyond

inferredcites →https://doi.org/10.1109/sfcs.1983.1openalex-snapshot

A kinetic framework for computational geometry

inferredcites →https://doi.org/10.1109/tpami.1986.4767839openalex-snapshot

Filtering Closed Curves

inferredcites →https://doi.org/10.1137/1025061openalex-snapshot

Geometry and Convexity: A Study in Mathematical Methods (Paul J. Kelly and Max L. Weiss )

inferredcites →https://doi.org/10.1145/357337.357339openalex-snapshot

The Brush-Trajectory Approach to Figure Specification: Some Algebraic Solutions

inferredcites →https://doi.org/10.1145/359156.359164openalex-snapshot

An algorithm for planning collision-free paths among polyhedral obstacles

inferredcites →https://doi.org/10.1145/359423.359430openalex-snapshot

Convex hulls of finite sets of points in two and three dimensions

inferredcites →https://doi.org/10.2307/2008200openalex-snapshot

Computational Geometry--An Introduction.

inferredcites →https://doi.org/10.2307/2303875openalex-snapshot

The Stereographic Projection.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9780470823095.refsopenalex-snapshot

References

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Image Analysis and Computer Vision: 1996

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Support Function Representation of Convex Bodies, Its Application in Geometric Computing, and Some Related Representations

inferred← citeshttps://doi.org/10.1007/0-306-47025-x_5openalex-snapshot

Minkowski Sum Volume Minimization for Convex Polyhedra

inferred← citeshttps://doi.org/10.1007/3-540-36586-9_15openalex-snapshot

Hyperfigures and Their Interpretations

inferred← citeshttps://doi.org/10.1007/3-540-45986-3_31openalex-snapshot

Invertible Minkowski Sum of Polygons

inferred← citeshttps://doi.org/10.1007/bf00119838openalex-snapshot

The indecomposability problem in binary morphology: An algorithmic approach

inferred← citeshttps://doi.org/10.1007/s10278-018-0049-zopenalex-snapshot

Outer Wall Segmentation of Abdominal Aortic Aneurysm by Variable Neighborhood Search Through Intensity and Gradient Spaces

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Machining feature-based similarity assessment algorithms for prismatic machined parts

inferred← citeshttps://doi.org/10.1016/j.patrec.2003.12.008openalex-snapshot

Hyperpolygons generated by the invertible Minkowski sum of polygons

inferred← citeshttps://doi.org/10.1016/s0031-3203(02)00090-0openalex-snapshot

Convex set symmetry measurement using Blaschke addition

inferred← citeshttps://doi.org/10.1016/s0031-3203(99)00159-4openalex-snapshot

Similarity measures for convex polyhedra based on Minkowski addition

inferred← citeshttps://doi.org/10.1023/a:1013986402264openalex-snapshot

Symmetry Measure Computation for Convex Polyhedra

inferred← citeshttps://doi.org/10.1109/34.713363openalex-snapshot

Similarity and symmetry measures for convex shapes using Minkowski addition

inferred← citeshttps://doi.org/10.1115/1.1577356openalex-snapshot

A Survey of Shape Similarity Assessment Algorithms for Product Design and Manufacturing Applications

inferred← citeshttps://doi.org/10.1115/detc2004-57761openalex-snapshot

Identifying Similar Parts for Assisting Cost Estimation of Prismatic Machined Parts

inferred← citeshttps://doi.org/10.1142/s0218195909003064openalex-snapshot

REDUCING THE TIME COMPLEXITY AND IDENTIFYING ILL-POSED PROBLEM INSTANCES OF MINKOWSKI SUM BASED SIMILARITY CALCULATIONS

inferred← citeshttps://doi.org/10.1142/s0218654397000136openalex-snapshot

AN ALGEBRA FOR SLOPE-MONOTONE CLOSED CURVES

inferred← citeshttps://doi.org/10.1142/s0219467803001032openalex-snapshot

NON-RIGID BODY INTERPOLATION BASED ON GENERALIZED MORPHOLOGIC MORPHING

inferred← citeshttps://doi.org/10.1145/2582112.2582142openalex-snapshot

Weight Balancing on Boundaries and Skeletons

inferred← citeshttps://doi.org/10.23919/acc.2017.7963336openalex-snapshot

Output-feedback safety-preserving control

inferred← citeshttps://doi.org/10.23919/fruct48121.2019.8981528openalex-snapshot

An Intelligent Method for Comparing Shapes of Three-Dimensional Objects

inferred← citeshttps://doi.org/10.37936/ecti-cit.2021151.240050openalex-snapshot

Hybrid Learning of Vessel Segmentation in Retinal Images

inferred← citeshttps://doi.org/10.4036/iis.2005.205openalex-snapshot

Decomposability and Indecomposability of Binary Shapes: A Theory of Shape Arithmetics

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