Updated: April 4th, 2024 12:53

2023 article

Guest editorial: Special issue on the 33rd Canadian Conference on Computational Geometry (CCCG)

He, M., & Sheehy, D. (2024, January). *COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS*, Vol. 116.

Sources: Web Of Science, NC State University Libraries

Added: September 11, 2023

2020 journal article

Adaptive Metrics for Adaptive Samples

*ALGORITHMS*, *13*(8).

author keywords: surface reconstruction; homology inference; adaptive sampling; topological data analysis

TL;DR:
The local-feature size definition of adaptive sampling used in surface reconstruction is generalized to relate it to an alternative metric on Euclidean space, making it simpler both to give adaptive sampling versions of homological inference results and to prove topological guarantees using the critical points theory of distance functions.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: September 21, 2020

2020 journal article

Efficient Algorithm for the Topological Characterization of Worm-like and Branched Micelle Structures from Simulations

*JOURNAL OF CHEMICAL THEORY AND COMPUTATION*, *16*(7), 4588–4598.

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: February 8, 2021

2018 conference paper

Computing the Shift-Invariant Bottleneck Distance for Persistence Diagrams

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Winnipeg, Canada.

Event: Canadian Conference in Computational Geometry at Winnipeg, Canada on August 8-10, 2018

Source: NC State University Libraries

Added: November 15, 2020

2018 chapter

Fréchet-Stable Signatures Using Persistence Homology

In *Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms* (pp. 1100–1108).

Sources: Crossref, NC State University Libraries

Added: January 7, 2020

2018 conference paper

When Can We Treat Trajectories as Points?

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Winnipeg, Canada.

Event: Canadian Conference in Computational Geometry at Winnipeg, Canada on August 8-10, 2018

Source: NC State University Libraries

Added: November 15, 2020

2017 conference paper

Supporting Ruled Polygons

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Ottawa, Ontario.

Event: Canadian Conference in Computational Geometry at Ottawa, Ontario on July 26-28, 2017

Source: NC State University Libraries

Added: November 15, 2020

2017 conference paper

When and Why the Topological Coverage Criterion Works

*Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms*. Presented at the Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms.

Event: Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: January 7, 2020

2016 conference paper

Adaptive Metrics for Adaptive Samples

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Vancouver, British Columbia, Canada.

Event: Canadian Conference in Computational Geometry at Vancouver, British Columbia, Canada on August 3-5, 2016

Source: NC State University Libraries

Added: November 15, 2020

2016 journal article

Efficient and robust persistent homology for measures

*Computational Geometry*, *58*, 70–96.

author keywords: Persistent homology; Topological data analysis; Distance to a measure; Power distance; Sparse rips filtration

TL;DR:
An efficient and reliable scheme to approximate the topological structure of the family of sublevel-sets of the distance to a measure and an algorithm for approximating the persistent homology of thedistance to an empirical measure that works in arbitrary metric spaces are obtained.
(via Semantic Scholar)

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2016 conference paper

Exploring Circle Packing Algorithms

*SOCG: Symposium on Computational Geometry (Multimedia Session)*. Presented at the 32nd International Symposium on Computational Geometry, Boston, MA.

Event: 32nd International Symposium on Computational Geometry at Boston, MA on June 14-18, 2016

Sources: NC State University Libraries, NC State University Libraries

Added: November 15, 2020

2016 conference paper

Interactive Geometric Algorithm Visualization in a Browser

*SOCG: Symposium on Computational Geometry (Multimedia Session)*. Presented at the 32nd International Symposium on Computational Geometry (SoCG 2016), Boston, MA.

Event: 32nd International Symposium on Computational Geometry (SoCG 2016) at Boston, MA on June 14-18, 2016

Source: NC State University Libraries

Added: November 15, 2020

2016 conference paper

Transforming Hierarchical Trees on Metric Spaces

*CCCG: The Canadian Conference in Computational Geometry,2016*. Presented at the Canadian Conference in Computational Geometry, Vancouver, British Columbia, Canada.

Source: NC State University Libraries

Added: November 15, 2020

2016 conference paper

kth Nearest Neighbor Sampling in the Plane

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Vancouver, British Columbia, Canada.

Source: NC State University Libraries

Added: November 15, 2020

2015 conference paper

A Geometric Perspective on Sparse Filtrations

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Kingston, Ontario.

Event: Canadian Conference in Computational Geometry at Kingston, Ontario on August 10-12, 2015

Source: NC State University Libraries

Added: November 15, 2020

2015 conference paper

An Output-Sensitive Algorithm for Computing Weightedα-Complexes

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Kingston, Ontario.

Event: Canadian Conference in Computational Geometry at Kingston, Ontario on August 10-12, 2015

Source: NC State University Libraries

Added: November 15, 2020

2015 chapter

Approximating Nearest Neighbor Distances

In *Lecture Notes in Computer Science* (pp. 200–211).

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2015 conference paper

Persistent Homology and Nested Dissection

*Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms*. Presented at the Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms.

Event: Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2015 conference paper

Visualizing Sparse Filtrations

*SOCG: Symposium on Computational Geometry (Multimedia Session)*. Presented at the 31st International Symposium on Computational Geometry, Eindhoven, Netherlands.

Event: 31st International Symposium on Computational Geometry at Eindhoven, Netherlands on June 22-25, 2015

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(OpenAlex)

Sources: NC State University Libraries, NC State University Libraries

Added: November 15, 2020

2014 journal article

A New Approach to Output-Sensitive Construction of Voronoi Diagrams and Delaunay Triangulations

*Discrete & Computational Geometry*, *52*(3), 476–491.

author keywords: Voronoi diagram; Delaunay triangulation; Output-sensitive algorithms; Mesh generation; Kinetic data structures

TL;DR:
The key idea is to first build the Voronoi diagram of a superset of the input points using ideas from Voronoi refinement mesh generation, then the extra points are removed in a straightforward way that allows the total work to be bounded in terms of the output complexity, yielding the output sensitive bound.
(via Semantic Scholar)

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2014 conference paper

Efficient and Robust Persistent Homology for Measures

*Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms*. Presented at the Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms.

Event: Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2014 conference paper

The Persistent Homology of Distance Functions under Random Projection

*SOCG: Symposium on Computational Geometry*. Presented at the 30th International Symposium on Computational Geometry, Kyoto, Japan.

Event: 30th International Symposium on Computational Geometry at Kyoto, Japan on June 8-11, 2014

Sources: NC State University Libraries, NC State University Libraries

Added: November 15, 2020

2014 journal article

Zigzag Zoology: Rips Zigzags for Homology Inference

*Foundations of Computational Mathematics*, *15*(5), 1151–1186.

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2013 conference paper

A fast algorithm for well-spaced points and approximate delaunay graphs

*Proceedings of the 29th annual symposium on Symposuim on computational geometry - SoCG '13*. Presented at the the 29th annual symposium.

Event: the 29th annual symposium

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2013 conference paper

A new approach to output-sensitive voronoi diagrams and delaunay triangulations

*Proceedings of the 29th annual symposium on Symposuim on computational geometry - SoCG '13*. Presented at the the 29th annual symposium.

Event: the 29th annual symposium

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2013 conference paper

Geometric Separators and the Parabolic Lift

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Waterloo, Ontario.

Event: Canadian Conference in Computational Geometry at Waterloo, Ontario on August 8-10, 2013

Source: NC State University Libraries

Added: November 15, 2020

2013 journal article

Linear-Size Approximations to the Vietoris–Rips Filtration

*Discrete & Computational Geometry*, *49*(4), 778–796.

author keywords: Persistent Homology; Vietoris-Rips filtration; Net-trees

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2013 conference paper

Zigzag zoology

*Proceedings of the 29th annual symposium on Symposuim on computational geometry - SoCG '13*. Presented at the the 29th annual symposium.

Event: the 29th annual symposium

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2012 conference paper

A Multicover Nerve for Geometric Inference

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Charlottetown, Prince Edward Island.

Event: Canadian Conference in Computational Geometry at Charlottetown, Prince Edward Island on August 8-10, 2012

Source: NC State University Libraries

Added: November 15, 2020

2012 conference paper

Linear-size approximations to the vietoris-rips filtration

*Proceedings of the 2012 symposuim on Computational Geometry - SoCG '12*. Presented at the the 2012 symposuim.

Event: the 2012 symposuim

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2012 conference paper

Minimax Rates for Homology Inference

*AISTATS: AI and Statistics*. Presented at the 15th International Conference on Artificial Intelligence and Statistics, La Palma, Canary Islands.

Event: 15th International Conference on Artificial Intelligence and Statistics at La Palma, Canary Islands on April 21-23, 2012

Source: NC State University Libraries

Added: November 15, 2020

2012 journal article

New Bounds on the Size of Optimal Meshes

*Computer Graphics Forum*, *31*(5), 1627–1635.

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2011 conference paper

Beating the spread

*Proceedings of the 27th annual ACM symposium on Computational geometry - SoCG '11*. Presented at the the 27th annual ACM symposium.

Event: the 27th annual ACM symposium

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2010 journal article

Approximate centerpoints with proofs

*Computational Geometry*, *43*(8), 647–654.

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2010 conference paper

Topological inference via meshing

*Proceedings of the 2010 annual symposium on Computational geometry - SoCG '10*. Presented at the the 2010 annual symposium.

Event: the 2010 annual symposium

author keywords: topological inference; persistent homology; mesh generation; sparse Voronoi refinement

TL;DR:
These ideas from mesh generation are applied to improve the time and space complexities of computing the full persistent homological information associated with a point cloud P in Euclidean space ℜd, and a new collection of filtrations, based on the Delaunay triangulation of a carefully-chosen superset of P, whose sizes are reduced to 2O(d2)n.
(via Semantic Scholar)

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2009 conference paper

Approximate center points with proofs

*Proceedings of the 25th annual symposium on Computational geometry - SCG '09*. Presented at the the 25th annual symposium.

Event: the 25th annual symposium

author keywords: centerpoints; derandomization; approximation algorithms; Tverberg's Theorem

TL;DR:
The Iterated-Tverberg algorithm is presented, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d and returns a polynomial-time checkable proof of the approximation guarantee, despite the coNP-Completenes of testing centerpoints in general.
(via Semantic Scholar)

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2009 conference paper

Size Complexity of Volume Meshes vs. Surface Meshes

*Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms*. Presented at the Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms.

Event: Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2009 conference paper

The Centervertex Theorem for Wedge Depth

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Vancouver, British Columbia, Canada.

Event: Canadian Conference in Computational Geometry at Vancouver, British Columbia, Canada on August 17-19, 2009

Source: NC State University Libraries

Added: November 15, 2020

2008 conference paper

Achieving Spatial Adaptivity while Finding Approximate Nearest Neighbors

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Montreal, Quebec, Canada.

Event: Canadian Conference in Computational Geometry at Montreal, Quebec, Canada on August 13-15, 2008

Source: NC State University Libraries

Added: November 15, 2020

2008 conference paper

Linear-size meshes

*CCCG: The Canadian Conference in Computational Geometry*. Presented at the Canadian Conference in Computational Geometry, Montreal, Quebec, Canada.

Source: NC State University Libraries

Added: November 15, 2020

2008 journal article

Shape deformation in continuous map generalization

*GeoInformatica*, *13*(2), 203–221.

author keywords: Continuous generalization; Scale change; Homotopy; Cartograms

TL;DR:
An application of this method is used to provide an algorithm to obtain cartograms and to preserve topology, area-ratios, and relative position as they change over time.
(via Semantic Scholar)

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2007 chapter

Size Competitive Meshing Without Large Angles

In *Automata, Languages and Programming* (pp. 655–666).

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

2006 journal article

Compatible triangulations and point partitions by series-triangular graphs

*Computational Geometry*, *34*(3), 195–202.

author keywords: compatible triangulations; Steiner points; series-triangular graphs

TL;DR:
This work introduces series-triangular graph embeddings and shows how to partition point sets with them, and proves an upper bound on the number of Steiner points needed to obtain compatible triangulations of point sets.
(via Semantic Scholar)

Sources: Crossref, NC State University Libraries

Added: January 14, 2020

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