Journal Article10.1145/965105.807462
Polygon comparison using a graph representation
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TL;DR: All of the information necessary to perform the polygon set operations (union, intersection, and difference) and therefore polygon clipping can be generated by a single application of a process control system.
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Abstract: All of the information necessary to perform the polygon set operations (union, intersection, and difference) and therefore polygon clipping can be generated by a single application of a process cal...
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Citations
Boolean operations in solid modeling: Boundary evaluation and merging algorithms
Aristides A. G. Requicha,H.B. Voelcker +1 more
- 01 Jan 1985
TL;DR: This paper describes boundary evaluation algorithms used by the P ADL solid modeling systems developed at the University of Rochester, and discusses other known approaches in terms of concepts that emerged from the PADL work, notably set membership classification and neighborhood manipulation.
A new algorithm for computing Boolean operations on polygons
TL;DR: The proposed algorithm works with concave polygons with holes, and with regions composed of polygon sets, and can be easily adapted to work with self-intersecting polygons.
102
The geometry of beam tracing
Norm Dadoun,David G. Kirkpatrick,John P. Walsh +2 more
- 01 Jun 1985
TL;DR: A solution to the hidden surface elimination problem called Beam Tracing is described and a Hierarchical Scene Representation is proposed that incorporates the space decomposition idea of the BSP tree along with the convex polytope intersection detection technique to solve the intersection and sorting subproblems of beam tracing.
60
Some Mathematical and Representational Aspects of Solid Modeling
TL;DR: An approach is presented to the tripartite problem of modeling physical solids mathematically, representing the models in a computer, and using representations in geometric algorithms using representation-free (mathematical) models and functions.
44
References
A Characterization of Ten Hidden-Surface Algorithms
TL;DR: The paper shows that the order of sorting and the types of sorting used form differences among the existing hidden-surface algorithms.
927
Reentrant polygon clipping
TL;DR: A new family of clipping algorithms is described, able to clip polygons against irregular convex plane-faced volumes in three dimensions, removing the parts of the polygon which lie outside the volume.
633
Hidden surface removal using polygon area sorting
Kevin Weiler,Peter Atherton +1 more
- 20 Jul 1977
TL;DR: In this paper, a polygon hidden surface and hidden line removal algorithm is presented, which recursively subdivides the image into polygon shaped windows until the depth order within the window is found.
A polyhedron representation for computer vision
Bruce G. Baumgart
- 19 May 1975
TL;DR: My approach to computer vision is best characterized as inverse computer graphics, where perceived television pictures are analyzed to compute detailed geometric models to generate synthetic television images.
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