Research & Projects

Publications

Visit SurfLab's paper page for more of SurfLab's contributions to graphics.
Visit my academic wiki for didactic content (Vector Calculus, Differential Geometry).

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Journal Papers

Robust Field-aligned Global Parametrization. Ashish Myles, Nico Pietroni, and Denis Zorin. ACM Transactions on Graphics, 2014.
paper

, proofs/algorithms

, raw data, comparisons

, statistics and figures

[BibTeX]

@article{MPZ:2014:fieldtrace,
 author = {Myles, Ashish and Pietroni, Nico and Zorin, Denis},
 title = {Robust Field-aligned Global Parametrization},
 journal = {ACM Trans. Graph.},
 issue_date = {July 2014},
 volume = {33},
 number = {4},
 month = jul,
 year = {2014},
 issn = {0730-0301},
 pages = {135:1--135:14},
 articleno = {135},
 numpages = {14},
 url = {http://doi.acm.org/10.1145/2601097.2601154},
 doi = {10.1145/2601097.2601154},
 acmid = {2601154},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {geometric modeling, parametrization},
}

Proceedings of SIGGRAPH 2014, Vancouver, Canada, Aug 10-14, 2014. Slides

Robust Field-aligned Global Parametrization

Controlled-Distortion Constrained Global Parametrization. Ashish Myles and Denis Zorin. ACM Transactions on Graphics, 2013.

[BibTeX]

@article{MZ:2013:conecons,
 author = {Myles, Ashish and Zorin, Denis},
 title = {Controlled-distortion constrained global parametrization},
 journal = {ACM Trans. Graph.},
 issue_date = {July 2013},
 volume = {32},
 number = {4},
 month = jul,
 year = {2013},
 issn = {0730-0301},
 pages = {105:1--105:14},
 articleno = {105},
 numpages = {14},
 url = {http://doi.acm.org/10.1145/2461912.2461970},
 doi = {10.1145/2461912.2461970},
 acmid = {2461970},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {geometric modeling, parametrization},
}

Proceedings of SIGGRAPH 2013, Anaheim, California, Jul 21-25, 2013. Slides

Global parametrization by incremental flattening. Ashish Myles and Denis Zorin. ACM Transactions on Graphics, 2012.

[BibTeX]

@article{MZ:2012:incflatten,
   author = {Myles, Ashish and Zorin, Denis},
   title = {Global parametrization by incremental flattening},
   journal = {ACM Trans. Graph.},
   issue_date = {July 2012},
   volume = {31},
   number = {4},
   month = jul,
   year = {2012},
   issn = {0730-0301},
   pages = {109:1--109:11},
   articleno = {109},
   numpages = {11},
   url = {http://doi.acm.org/10.1145/2185520.2185605},
   doi = {10.1145/2185520.2185605},
   acmid = {2185605},
   publisher = {ACM},
   address = {New York, NY, USA},
   keywords = {geometric modeling, parametrization},
}

Proceedings of SIGGRAPH 2012, Los Angles, California, Aug 5-9, 2012. Slides

Computing Extremal Quasiconformal Maps. (Best Paper Award) Ofir Weber, Ashish Myles, and Denis Zorin. Computer Graphics Forum, 2012.

[BibTeX]

@article{WMZ:2012:qc,
    author    = {Ofir Weber and
                 Ashish Myles and
                 Denis Zorin},
    title     = {Computing Extremal Quasiconformal Maps},
    journal   = {Comput. Graph. Forum},
    volume    = {31},
    number    = {5},
    year      = {2012},
    pages     = {1679-1689},
    ee        = {http://dx.doi.org/10.1111/j.1467-8659.2012.03173.x},
    bibsource = {DBLP, http://dblp.uni-trier.de}
}

Proceedings of Symposium on Geometry Processing, Tallinn, Estonia, Jul 16-18, 2012.

C² Splines Covering Polar Configurations. Ashish Myles and Jörg Peters. Computer-Aided Design, 2011.

[BibTeX]

@article{MP:2011:c2polar,
    title = "{$C^2$} splines covering polar configurations",
    journal = "Computer-Aided Design",
    volume = "43",
    number = "11",
    pages = "1322 - 1329",
    year = "2011",
    note = "Solid and Physical Modeling 2011",
    issn = "0010-4485",
    doi = "10.1016/j.cad.2011.08.018",
    url = "http://www.sciencedirect.com/science/article/pii/S001044851100217X",
    author = "Ashish Myles and Jörg Peters",
    keywords = "C^2",
    keywords = "Polar",
    keywords = "Spline",
    keywords = "B-spline",
    keywords = "Curvature-continuous"
}

Proceedings of Solid and Physical Modeling 2011, Orlando, Florida, Oct 24-27, 2011. Matlab source code available.

Anisotropic Quadrangulation. Denis Kovacs, Ashish Myles, and Denis Zorin. Computer-Aided Geometric Design, 2011.

[BibTeX]

@article{KMZ:2011:aniso,
    title = "Anisotropic quadrangulation",
    journal = "Computer Aided Geometric Design",
    volume = "28",
    number = "8",
    pages = "449 - 462",
    year = "2011",
    note = "Solid and Physical Modeling 2010",
    issn = "0167-8396",
    doi = "10.1016/j.cagd.2011.06.003",
    url = "http://www.sciencedirect.com/science/article/pii/S0167839611000689",
    author = "Denis Kovacs and Ashish Myles and Denis Zorin",
    keywords = "Parameterization",
    keywords = "Quadrangulation",
    keywords = "Remeshing",
    keywords = "Conformal parameterization"
}

Feature-aligned T-meshes. Ashish Myles, Nico Pietroni, Denis Kovacs, and Denis Zorin. ACM Transactions on Graphics, 2010.

[BibTeX]

@article{MPKZ:2010:tmesh,
    author = {Myles, Ashish and Pietroni, Nico and Kovacs, Denis and Zorin, Denis},
    title = {Feature-aligned T-meshes},
    journal = {ACM Trans. Graph.},
    volume = {29},
    number = {4},
    year = {2010},
    issn = {0730-0301},
    pages = {1--11},
    doi = {http://doi.acm.org/10.1145/1778765.1778854},
    publisher = {ACM},
    address = {New York, NY, USA},
}

Proceedings of SIGGRAPH 2010, Los Angeles, California, Jul 25-29, 2010. Slides

Bi-3 C² Polar Subdivision. Ashish Myles and Jörg Peters. ACM Transactions on Graphics, 2009.

[BibTeX]

@article{MP:2009:bi3c2polar,
    author    = {Ashish Myles and J\"{o}rg Peters},
    title     = {Bi-3 $C^2$ polar subdivision},
    journal   = {ACM Transactions on Graphics},
    volume    = {28},
    number    = {3},
    month     = {Aug},
    year      = {2009},
    issn      = {0730-0301},
    pages     = {1--12},
    doi       = {http://doi.acm.org/10.1145/1531326.1531354},
    publisher = {ACM},
    address   = {New York, NY, USA},
}

Proceedings of SIGGRAPH 2009, New Orleans, Louisiana, Aug 3-7, 2009. Slides

Based on my PhD thesis: Curvature Continuous Bicubic Subdivision for Polar Configurations

Parallel smoothing of quad meshes. Young In Yeo, Tianyun Ni, Ashish Myles, Vineet Goel, and Jörg Peters. The Visual Computer, 2009.

[BibTeX]

@article{YNMGP:2009:parallel,
    author    = {Young In Yeo, Tianyun Ni, Ashish Myles,
                 Vineet Goel, and J{\"o}rg Peters},
    title     = {Parallel Smoothing of Quad Meshes},
    journal   = {The Visual Computer},
    volume    = {25},
    number    = {8},
    month     = {Aug},
    year      = {2009},
    pages     = {757--769},
}

Fast Parallel Construction of Smooth Surfaces from Meshes with Tri/Quad/Pent Facets. Ashish Myles, Tianyun Ni, and Jörg Peters. Computer Graphics Forum, 27(5), pp. 1365-1372, 2008.

[Errata]

[BibTeX]

@article{MNP:2008:triquadpent,
    author    = {Ashish Myles and Tianyun Ni and J{\"o}rg Peters},
    title     = {Fast Parallel Construction of Smooth Surfaces
                 from Meshes with Tri/Quad/Pent Facets},
    journal   = {Computer Graphics Forum},
    volume    = {27},
    number    = {5},
    year      = {2008},
    pages     = {1365--1372},
    ee        = {http://dx.doi.org/10.1111/j.1467-8659.2008.01276.x},
    bibsource = {DBLP, http://dblp.uni-trier.de}
}

Proceedings of Symposium on Geometry Processing, Copenhagen, Denmark, July 2-4, 2008 Source code available.

Pairs of Bi-Cubic Surface Constructions Supporting Polar Connectivity. Ashish Myles, Kestutis Karciauskas, and Jörg Peters. Computer Aided Geometric Design, 25(8), pp. 621-630, 2008.

[BibTeX]

@article{MKP:2008:polar,
    author    = {Ashish Myles and Kestutis Kar\v{c}iauskas
                 and J\"{o}rg Peters},
    title     = {Pairs of bi-cubic surface constructions
                 supporting polar connectivity},
    journal   = {Computer Aided Geometric Design},
    volume    = {25},
    number    = {8},
    year      = {2008},
    issn      = {0167-8396},
    pages     = {621--630},
    doi       = {http://dx.doi.org/10.1016/j.cagd.2008.06.002},
    publisher = {Elsevier Science Publishers B. V.},
    address   = {Amsterdam, The Netherlands, The Netherlands},
}

Threading Splines Through 3D Channels. Ashish Myles and Jörg Peters. Computer Aided Design, 37(2), pp. 139-148, Feb 2005.

[BibTeX]

@article{MP:2005:channel,
    author    = {Ashish Myles and J{\"o}rg Peters},
    title     = {Threading splines through 3D channels},
    journal   = {Computer-Aided Design},
    volume    = {37},
    number    = {2},
    year      = {2005},
    pages     = {139-148},
    ee        = {http://dx.doi.org/10.1016/j.cad.2004.04.004},
    bibsource = {DBLP, http://dblp.uni-trier.de}
}

Masters thesis

Conference Papers

Anisotropic Quadrangulation. Denis Kovacs, Ashish Myles, Denis Zorin. ACM Symposium on Solid and Physical Modeling, pp. 137-146, Haifa, Israel, Sep 1-3, 2010.

(47MB)

[BibTeX]

@inproceedings{KMZ:2010:anisoquad,
    author    = {Kovacs, Denis and Myles, Ashish and Zorin, Denis},
    title     = {Anisotropic quadrangulation},
    booktitle = {SPM '10: Proceedings of the 14th ACM Symposium on Solid and Physical Modeling},
    year      = {2010},
    isbn      = {978-1-60558-984-8},
    pages     = {137--146},
    location  = {Haifa, Israel},
    doi       = {http://doi.acm.org/10.1145/1839778.1839797},
    publisher = {ACM},
    address   = {New York, NY, USA},
}

GPU Smoothing of Quad Meshes. Tianyun Ni, Young In Yeo, Ashish Myles, Vineet Goel, and Jörg Peters. IEEE International Conference on Shape Modeling and Applications, pp. 3-9, Stony Brook, New York, Jun 4-6, 2008.

[BibTeX]

@inproceedings{NYMGP:2008:gpu,
    author    = {Tianyun Ni and Young In Yeo and Ashish Myles
                 and Vineet Goel and J\"{o}rg Peters},
    title     = {GPU smoothing of quad meshes},
    booktitle = {SMI '08: IEEE International Conference on
                 Shape Modeling and Applications, 2008},
    isbn      = {978-1-4244-2260-9},
    year      = {2008},
    month     = {June},
    pages     = {3-9},
    doi       = {http://doi.acm.org/10.1109/SMI.2008.4547938},
    publisher = {IEEE Computer Society},
    address   = {Washington, DC, USA},
}

GPU Conversion of Quad Meshes to Smooth Surfaces. Ashish Myles, Young In Yeo, and Jörg Peters. ACM Symposium on Solid and Physical Modeling, pp. 321-326, Stony Brook, New York, Jun 2-4, 2008.

[BibTeX]

@inproceedings{MYP:2008:gpu,
    author = {Ashish Myles and Young In Yeo and J\"{o}rg Peters},
    title = {GPU conversion of quad meshes to smooth surfaces},
    booktitle = {SPM '08: Proceedings of the 2008 ACM symposium
                 on Solid and physical modeling},
    year = {2008},
    isbn = {978-1-60558-106-2},
    pages = {321--326},
    location = {Stony Brook, New York},
    doi = {http://doi.acm.org/10.1145/1364901.1364946},
    publisher = {ACM},
    address = {New York, NY, USA},
}

Extending Catmull-Clark Subdivision and PCCM with Polar Structures. Ashish Myles, Kestutis Karciauskas, and Jörg Peters. Pacific Graphics, pp. 313-320, Maui, Hawaii, Oct 29-Nov 02, 2007.

, Slides

[BibTeX]

@inproceedings{MKP:2007:polar,
    author    = {Ashish Myles and Kestutis Kar{\v c}iauskas and
                 J\"{o}rg Peters},
    title     = {Extending {C}atmull-{C}lark Subdivision and {PCCM}
                 with Polar Structures},
    booktitle = {PG '07: Proceedings of the 15th Pacific Conference
                 on Computer Graphics and Applications},
    year      = {2007},
    isbn      = {0-7695-3009-5},
    pages     = {313--320},
    doi       = {http://dx.doi.org/10.1109/PG.2007.24},
    publisher = {IEEE Computer Society},
    address   = {Washington, DC, USA},
}

A C² Polar Jet Subdivision. Kestutis Karciauskas, Ashish Myles, and Jörg Peters. Symposium on Geometry Processing, pp. 173-180, Sardinia, Italy, Jun 26-28, 2006.

[BibTeX]

@inproceedings{KMP:2006:PJS,
    author    = {Kestutis Kar{\v c}iauskas and Ashish Myles and
                 J\"{o}rg Peters},
    title     = {A {$C^2$} Polar Jet Subdivision},
    booktitle = {SGP '06: Proceedings of the Fourth Eurographics
                 Symposium on Geometry Processing},
    year      = {2006},
    isbn      = {30905673-36-3},
    pages     = {173--180},
    location  = {Cagliari, Sardinia, Italy},
    publisher = {Eurographics Association},
    address   = {Aire-la-Ville, Switzerland, Switzerland},
}

Fast Safe Spline Surrogates for Large Point Clouds. Ashish Myles and Jörg Peters. 3rd International Symposium on 3D Data Processing, Visualization and Transmission, pp. 631-638, Chapel Hill, North Carolina, Jun 14-16, 2006.

[BibTeX]

@inproceedings{MP:2006:spline,
    author    = {Ashish Myles and J{\"o}rg Peters},
    title     = {Fast Safe Spline Surrogates for Large Point Clouds},
    booktitle = {3DPVT '06: Proceedings of the Third International
     Symposium on 3D Data Processing, Visualization, and Transmission},
    year      = {2006},
    isbn      = {0-7695-2825-2},
    pages     = {631--638},
    doi       = {http://dx.doi.org/10.1109/3DPVT.2006.63},
    publisher = {IEEE Computer Society},
    address   = {Washington, DC, USA},
}

Wheelchair Detection in a Calibrated Environment. Ashish Myles, Niels da Vitoria Lobo, and Mubarak Shah. 5th Asian Conference on Computer Vision, Melbourne, Australia, Jan 23-25, 2002.

Undergraduate honors thesis

Conference Short Papers

Interactive Peritoneum in a Haptic Surgery Illustration Environment. Ashish Myles, Young In Yeo, Minho Kim, Juan Cendan, Sergei Kurenov, Jörg Peters. 17th Annual Medicine Meets Virtual Reality Conference, vol. 142, pp. 221-223, Long Beach, California, Jan 19-Jan 22, 2009.

Fatty Tissue in a Haptic Illustration Environment. Sukitti Punak, Minho Kim, Ashish Myles, Juan Cendan, Sergei Kurenov, Jörg Peters. 16th Annual Medicine Meets Virtual Reality Conference, vol. 132, pp. 384-386, Long Beach, California, Jan 29-Feb 1, 2008.

Old Projects

Delaunay Refinement Worst-Case Time Complexity (Fall 2004)

I don't know of any formalization of the worst-case time complexity of the Delaunay Refinement method. I have seen a not-so-convincing example, so I came up with a different example that runs in O(n²) time. However, the output size is still O(n). Just posted this in the case it is of use to anyone. Here is the pdf with the details.

Channel & Support (2001-2003)

Among other things, I was working with the Channel and Support problems during this time period. Channel eventually went to print as Threading Splines Through 3D Channels. The Support problem -- being too simple to solve in this form -- died, but eventually lead to Fast Safe Spline Surrogates for Point Clouds.

Graphics Class (Spring 2002)

I took a REALLY cool class in Spring 2002. To see the results, click here.

REU (Summer 2000)

I spent the summer of 2000 at the University of Central Florida doing the Research Experience for Undergraduates (REU) program. Here are the gory details.