% % Benjamin Bejhoo Kimia % % Kimia86 Deblurring Gaussian Blur, Continuous and... (MEng) % Kimia89 Toward a Computational Theory of Shape... % Kimia90 Toward a Computational Theory of Shape... % Kimia90 On the Evolution of Curves via a Function... (TR) % Kimia91 Toward a Computational Theory of Shape (PhD) % Kimia92 Entropy Scale-Space % Kimia92 On the Evolution of Curves via a Function... (JMAA) % Kimia92 Exploring the Shape Manifold... % Kimia92 The Shape Triangle: Parts, Protrusions, & Bends % Kimia93 Analytic Inverse of Discrete Gaussian Blur % Kimia94 On the Shape Triangle % Kimia94 On Optimal Control Methods in Computer Vision... % Kimia95 Shapes, Shocks and Deformations... % Kimia96 Geometric Heat Equation & Nonlinear Diffusion... % % Arehart93 Mathematical Morphology: The Hamilton-Jacobi... % Giblin99 On the Intrinsic Reconstruction of Shape... % Giblin99 On the Local Form and Transitions... (2D) % Giblin00 On the Local Form of Symmetry Sets,... (3D) % Giblin02 Transitions of the 3D Medial Axis Under... % Hummel87 Deblurring Gaussian Blur % Kimmel95 Shape from Shading via Level Sets % Kong01 On Solving 2D and 3D Puzzles nder Curve Matching % Neskovic94 3D Shape Representation from Curvature-Dependent... % Sapiro93 Implementing Continuous-Scale Morphology % Sebastian01 Alignment-based Recognition of Shape Outlines % Sebastian02 Shock-based Indexing into Large Shape Databases % Sebastian02 Metric-based Shape Retrieval in Large Databases % Sharvit98 Symmetry-based Indexing of Image Databases % Siddiqi94 On the Anatomy of Visual Form % Siddiqi95 Parts of Visual Form: Computational Aspects % Siddiqi96 Parts of Visual Form: Ecological % Siddiqi96 A Shock Grammar for Recognition % Siddiqi97 Geometric Shock-Capturing ENO Schemes... % Siddiqi99 Shocks, Shapes, and Wiggles % Tek95 Image Segmentation by Reaction-Diffusion Bubbles % Tek97CEDT Interpenetrating Waves & Multiple Generation... % Tek97CVIU Volumetric Segmentation of Medical Images % Tek98ISMM Curve Evolution, Wave Propagation, & Math. Morpho. % Tek99ICCV Symmetry Maps of Free-Form Curve Segments via... % Tek99CVPR Perceptual organization via symmetry map ... % Tek99PhD The Role of Symmetry Maps in Representing Objects... % Tek01 Boundary Smoothing via Symmetry Transforms % @MastersThesis{Kimia86Master, author = {Kimia, B. B.}, title = {Deblurring Gaussian Blur, Continuous and Discrete Approaches}, school = {McGill University, Electrical Engineering Dept.}, address = {Montreal, Canada}, year = 1986, } @TechReport{Kimia89Overview, author = {B. B. Kimia and A. Tannebaum and S. W. Zucker}, title = {Toward a Computational Theory of Shape: An Overview}, OPTtype = CIMTR, number = {CIM-89-13}, institution = {McGill University, Electrical Engineering Dept.}, address = {Montreal, Canada}, year = 1989, month = jun } @Article{Kimia90Overview, author = {B. B. Kimia and A. Tannebaum and S. W. Zucker}, title = {Toward a Computational Theory of Shape: An Overview}, booktitle = "Proc. of the First European Conf. on Computer Vision (ECCV)", pages = {402--407}, year = {1990}, address = {Antibes, France}, } @TechReport{Kimia90Evolution, author = {B. B. Kimia and A. Tannebaum and S. W. Zucker}, title = {On the Evolution of Curves via a Function of Curvature, {I}: The Classical Case}, OPTtype = CIMTR, number = {CIM-90-3}, institution = {McGill University, Electrical Engineering Dept.}, address = {Montreal, Canada}, year = 1990, month = sep } @PhdThesis{Kimia91Toward, author = {B. B. Kimia}, title = {Toward a Computational Theory of Shape}, school = {McGill University, Electrical Engineering Dept.}, address = {Montreal, Canada}, year = 1991, month = jan, note = {171 pages.} } @InProceedings{Kimia92Entropy, author = "Benjamin B. Kimia and Allen R. Tannenbaum and Steven W. Zucker", title = "Entropy Scale-Space", editor = "C. Arcelli and L.P. Cordella and G. S. di Baja", pages = "333--344", booktitle = "Proceedings of the International Workshop on Visual Shape", year = "1992", organization = "IAPR", publisher = "Plenum Press", address = "Capri, Italy", note = "Conference held in May 1991.", } @Article{Kimia92Evolution, author = {B. B. Kimia and A. Tannenbaum and Steven W. Zucker}, title = {On the Evolution of Curves via a Function of Curvature. {I}. {T}he Classical Case}, journal = {Jour. of Math. An. Ap.}, year = 1992, month = {January}, volume = 163, number = 2, pages = {438--458} } @InProceedings{Kimia92Exploring, author = "Benjamin B. Kimia and Allen R. Tannenbaum and Steven W. Zucker", title = "Exploring the Shape Manifold: The Role of Conservation Laws", editor = "Ying-Lie O and Alexander Toet and David Foster and Henk J.A.M. Heijmans and Peter Meer", pages = "601--620", booktitle = "Shape In Picture: Mathematical Description of Shape in Grey-level Images", year = "1992", series = {NATO ASI Series F}, volume = {126}, OPTorganization = "", publisher = "Springer-Verlag", address = "Driebergen, the Netherlands", month = "September", note = "Proceedings of the ``Shape in Picture'' NATO workshop.", } @TechReport{Kimia92Triangle, author = "Benjamin B. Kimia and Allen R. Tannenbaum and Steven W. Zucker", title = "The Shape Triangle: Parts, Protrusions, and Bends", institution = "McRCIM, McGill University", year = "1992", number = "TR-92-15", address = "Montreal, Canada", OPTmonth = "", OPTnote = "", } @Article{Kimia93Analytic, author = {B. B. Kimia and Steven W. Zucker}, title = {Analytic Inverse of Discrete {G}aussian Blur}, journal = {Optical Engineering}, year = 1993, month = jan, volume = 32, number = 1, pages = {166--176}, annote = {Early version published as Technical Report TR-85-14R, McRCIM, McGill University, Canada, 1985.} } @InProceedings{Kimia94Triangle, author = "Benjamin B. Kimia and Allen R. Tannenbaum and Steven W. Zucker", title = "On the Shape Triangle", editor = "C. Arcelli and L.P. Cordella and G. S. di Baja", series = "2nd International Workshop on Visual Form", pages = "307--323", booktitle = "Aspects of Visual Form Processing", year = "1994", organization = "IAPR", publisher = "World Scientific", address = "Singapore", month = "May-June", note = "Workshop held in Capri, Italy.", OPTannote = "" } @InCollection{Kimia94Optimal, author = "Benjamin B. Kimia and Allen R. Tannenbaum and Steven W. Zucker", title = "On Optimal Control Methods in Computer Vision and Image Processing", booktitle = "Geometry-Driven Diffusion in Computer Vision", publisher = "Kluwer", year = "1994", editor = "Bart M. ter Haar Romeny", OPTvolume = "", OPTseries = "", pages = "307--338", OPTaddress = "", OPTedition = "", month = "September", OPTnote = "", OPTannote = "" } @Article{Kimia95Shapes, author = "B. B. Kimia and A. Tannenbaum and Steven W. Zucker", title = "Shapes, Shocks and Deformations {I}: The Components of Shape and the Reaction--Diffusion Space", journal = "IJCV", year = "1995", volume = "15", OPTnumber = "", pages = "189--224", OPTmonth = "", note = "Previously published as Technical Report LEMS-105, Brown University, Eng. Div., Providence, RI, USA, June 1992.", OPTannote = "" } @Article{Kimia96Geom, author = "Benjamin B. Kimia and Kaleem Siddiqi", title = "Geometric Heat Equation and Nonlinear Diffusion of Shapes and Images", journal = "CVGIP-IU", year = "1996", volume = "64", number = "3", pages = "305--322", month = "November", OPTannote = "" } %%%%%%%%%%% % @InProceedings{Arehart93, author = "Alan Arehart and Luc Vincent and B. B. Kimia", title = "Mathematical Morphology: The {H}amilton-{J}acobi Connection", OPTeditor = "", pages = "215--219", booktitle = "Proc. of ICCV", year = "1993", organization = "IEEE Computer Society", OPTpublisher = "", OPTaddress = "", OPTmonth = "", note = "Previously published as Technical Report LEMS-108, Brown University, Eng. Div., Providence, RI, USA, June 1992.", } @InProceedings{Giblin99CVPR, author = "P. J. Giblin and B. B. Kimia", title = "On the Intrinsic Reconstruction of Shape from its Symmetries", OPTeditor = "", OPTvolume = "", pages = "79--84", booktitle = "Proc. of CVPR", year = "1999", organization = "IEEE Computer Society", OPTpublisher = "", OPTaddress = "", OPTmonth = "", OPTannote = "" } @InProceedings{Giblin99ICCV, author = "P. J. Giblin and B. B. Kimia", title = "On the Local Form and Transitions of Symmetry Sets, and Medial Axes, and Shocks in {2D}", OPTeditor = "", OPTvolume = "", pages = "385--391", booktitle = "Proc. of ICCV", year = "1999", organization = "IEEE Computer Society", OPTpublisher = "", address = "Greece", month = "September", OPTannote = "" } @InProceedings{Giblin00, author = "P. J. Giblin and B. B. Kimia", title = "On the Local Form of Symmetry Sets, and Medial Axes, and Shocks in {3D}", OPTeditor = "", OPTvolume = "", pages = "566--573", booktitle = "Proc. of CVPR", year = "2000", organization = "IEEE Computer Society", OPTpublisher = "", OPTaddress = "", OPTmonth = "", OPTannote = "" } @InProceedings{Giblin02, author = {P. J. Giblin and B. B. Kimia}, title = {Transitions of the 3{D} Medial Axis Under a One-Parameter Family of Deformations}, booktitle = {Computer Vision --- ECCV}, pages = {719--734}, year = {2002}, OPTeditor = {A. Heyden and G. Sparr and M. Nielsen and P. Johansen}, volume = {II}, number = {LNCS 2351}, series = {Lecture Notes in Computer Science}, address = {Copenhagen, Denmark}, month = {May}, OPTorganization = {}, publisher = {Springer}, OPTnote = {}, OPTannote = {7th European Conference on Computer Vision. 4 volumes} } @Article{Hummel87, author = "Robert Hummel and Benjamin Behjoo Kimia and Steven Warren Zucker", title = "Deblurring {G}aussian blur", journal = "CVGIP", year = "1987", volume = "38", OPTnumber = "", pages = "66--80", OPTmonth = "", OPTnote = "", annote = "Previously published as Technical Report 83-15R, McGill University, Elec. Eng., Montreal, Canada, July 1984." } @Article{Kimmel95, author = "R. Kimmel and A. M. Bruckstein and B. B. Kimia", title = "Shape from Shading via Level Sets", journal = "IJCV", year = "1995", volume = "16", number = "2", OPTpages = "", OPTmonth = "", note = "Previously published as Technical Report 9209, Technion, Israel, June 1992.", annote = "Numerical approximation of wavefront propagation (here, isohypses -- equal height contours -- level curves). Lambertian (matte) surface. The evolution eqns. for the isohypses are a pair of nonlinear initial value PDE. The speed of propagation is a function of image brightness (i.e., it varies spatially). Lagrangian (local) vs Eulerian (cartesian coordinates) formulations (they favor the Eulerian one). Entropy condition & topological splits. Potential surface. Water filling from outside boundary. Starting from extrema." } @InProceedings{Kong01, author = {Weixin Kong and Benjamin Kimia}, title = {On Solving {2D} and {3D} Puzzles under Curve Matching}, booktitle = {Proc. of CVPR}, pages = {583--590}, year = {2001}, } @InProceedings{Neskovic94, author = "Predrag Neskovic and Benjamin B. Kimia", title = "Three-Dimensional Shape Representation from Curvature-Dependent Deformations", OPTeditor = "", OPTvolume = "", pages = "6--10", booktitle = "Proc. of ICIP", year = "1994", OPTorganization = "", OPTpublisher = "", OPTaddress = "", OPTmonth = "", OPTannote = "" } @Article{Sapiro93, author = "G. Sapiro and B. B. Kimia and R. Kimmel and D. Shaked and A.M. Bruckstein", title = "Implementing Continuous-Scale Morphology", journal = "Pattern Recognition", year = "1993", volume = "26", number = "9", pages = "1363--1372", OPTmonth = "", annote = "Numerical approximation of wavefront propagation. Follows Sethian and Osher.", } @InCollection{Sebastian01, author = {Thomas B. Sebastian and Philip N. Klein and Benjamin B. Kimia}, title = {Alignment-based Recognition of Shape Outlines}, booktitle = {Visual Form}, pages = {606--618}, publisher = {Springer}, year = {2001}, OPTeditor = {C. Arcelli and L.P. Cordella and G. Sanniti di Baja}, number = {}, series = {Lecture Notes in Computer Science}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{Sebastian02ECCV, author = {Thomas B. Sebastian and Philip N. Klein and Benjamin B. Kimia}, title = {Shock-based Indexing into Large Shape Databases}, booktitle = {ECCV}, year = 2002, pages = {Part III:731 - 746}, } @InProceedings{Sebastian02ICPR, author = {Thomas B. Sebastian and Benjamin B. Kimia}, title = {Metric-based Shape Retrieval in Large Databases}, booktitle = {ICPR}, year = 2002, month = August, address = {Quebec City, Canada}, pages = {Accepted -- To Appear}, } @Article{Sharvit98, author = "Daniel Sharvit and Jacky Chan and H\"useyin Tek and Benjamin B. Kimia", title = "Symmetry-based Indexing of Image Databases", journal = "Journal of Visual Communication and Image Representation", year = "1998", volume = "9", number = "4", pages = "366--380", month = "December", OPTannote = "" } @InProceedings{Siddiqi94, author = "Kaleem Siddiqi and Kathryn J. Tresness and Benjamin B. Kimia", title = "On the Anatomy of Visual Form", editor = "C. Arcelli and L.P. Cordella and G. S. di Baja", series = "2nd International Workshop on Visual Form", pages = "507--521", booktitle = "Aspects of Visual Form Processing", year = "1994", organization = "IAPR", publisher = "World Scientific", address = "Singapore", month = "May-June", note = "Workshop held in Capri, Italy.", OPTannote = "" } @Article{Siddiqi95, author = "Kaleem Siddiqi and Benjamin B. Kimia", title = "Parts of Visual Form: Computational Aspects", journal = "IEEE Trans. on PAMI", year = "1995", volume = "17", number = "3", pages = "239--251", month = "March", annote = "Earlier versions published in CVPR'93 (pp.75-81) and Tech. Rep. LEMS-114.", keywords = {Part-line. Partitioning Scheme. Robustness & Stability. Limb: pair of negative curvature minima with co-circular boundary tangents. Neck: part-line which is a local minimum of the diameter of an inscribed circle. Salience of limbs: (1) Continuation as a discrete co-circularity condition; (2) Extent of a part-line: ratio of the major to minor axes of the largest inscribed ellipse. Salience of necks: (1) Average curvature disparity computed over a few scales; (2) Neck's length; (3) Influence region. Boundary-based algorithms.} } @Article{Siddiqi96, author = "Kaleem Siddiqi and Kathryn J. Tresness and Benjamin B. Kimia", title = "Parts of Visual Form: Ecological and Psychophysical Aspects", journal = "Perception", year = "1996", volume = "25", OPTnumber = "", pages = "399--424", OPTmonth = "", annote = "Previously published as Technical Report LEMS-104, Brown University, Engineering, May 1992." } @InProceedings{Siddiqi96CVPR, author = {Kaleem Siddiqi and Benjamin B. Kimia}, title = {A Shock Grammar for Recognition}, booktitle = {Proceedings of the Conference on Computer Vision and Pattern Recognition}, pages = {507--513}, year = {1996}, OPTeditor = {}, OPTvolume = {}, address = {San Francisco, CA, USA}, month = {June}, organization = {IEEE Computer Society}, OPTpublisher = {}, } @Article{Siddiqi97ENO, author = "Kaleem Siddiqi and Benjamin B. Kimia and {Chi-Wang} Shu", title = "Geometric Shock-Capturing {ENO} Schemes for Subpixel Interpolation, Computation and Curve Evolution", journal = "GMIP", year = "1997", volume = "59", number = "5", pages = "278--301", month = "September", annote = "Earlier versions published at ISCV'95 and as Tech.Rep. LEMS-142, Feb.1995." } @Article{Siddiqi99, author = "Kaleem Siddiqi and Benjamin Kimia and Allen Tannenbaum and Steven Zucker", title = "Shocks, Shapes, and Wiggles", journal = "Image and Vision Computing", year = "1999", volume = "17", number = "5-6", pages = "365--373", OPTmonth = "", OPTannote = "" } @InProceedings{Tek95Bubbles, author = "Huseyin Tek and Benjamin B. Kimia", title = "Image Segmentation by Reaction-Diffusion Bubbles", OPTeditor = "", OPTvolume = "", pages = "156--162", booktitle = "Proc. of ICCV", year = "1995", OPTorganization = "", OPTpublisher = "", OPTaddress = "", OPTmonth = "", OPTannote = "" } @Article{Tek97CVIU, author = "Huseyin Tek and Benjamin B. Kimia", title = "Volumetric Segmentation of Medical Images by Three-Dimensional Bubbles", journal = "CVIU", year = "1997", volume = "64", number = "2", pages = "246--258", month = "February", annote = "Earlier version at WPMCV'95 (pp.9-16) and Tech.Rep. LEMS-147, Providence, RI, USA." } @InCollection{Tek98ISMM, author = "Huseyin Tek and Benjamin B. Kimia", title = "Curve Evolution, Wave Propagation, and Mathematical Morphology", booktitle = "Mathematical Morphology and its Applications to Image and Signal Processing", publisher = "Kluwer Academic", year = "1998", editor = "Henk J.A.M. Heijmans and Jos B.T.M. Roerdink", volume = "12", series = "Computational Imaging and Vision", pages = "115--126", address = "Amsterdam, The Netherlands", month = "June", OPTannote = "" } @InProceedings{Tek99ICCV, author = "H. Tek and B. Kimia", title = "Symmetry Maps of Free-Form Curve Segments via Wave Propagation", pages = "362--369", booktitle = "IEEE Proc. $7^{th}$ ICCV", year = "1999", OPTorganization = "IEEE Comp. Society", address = "Kerkrya, Greece", month = "September"} @InProceedings{Tek99CVPR, author = {H. Tek and B. Kimia}, title = {Perceptual organization via symmetry map and symmetry transforms}, booktitle = {IEEE Proc. of CVPR}, OPTpages = {}, year = {1999}, OPTvolume = {}, address = {Forth Collins, Colorado}, month = {June}, OPTorganization = {}, OPTpublisher = {}, OPTnote = {}, } @PhdThesis{Tek99PhD, author = {H{\"u}seyin Tek}, title = {The Role of Symmetry Maps in Representing Objects in Images}, school = {Brown University, Division of Engineering}, year = {1999}, OPTtype = {}, address = {Providence, RI, USA}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Article{Tek01, author = {H. Tek and B. B. Kimia}, title = {Boundary Smoothing via Symmetry Transforms}, journal = {Journal of Mathematical Imaging and Vision}, year = {2001}, volume = {14}, number = {3}, pages = {211--223}, month = {May}, OPTnote = {}, OPTannote = {} }