Department of Computer Science

Image Analysis and Shape Representation by Nets of Medial Primitives and Cores

Last update: 18 July 2001
Please send requests for copies, either by category or by paper, to midag@cs.unc.edu

Surveys, Tutorials, and Introductions

Pizer SM, DS Fritsch, KC Low, JD Furst (1998). 2D & 3D Figural Models of Anatomic Objects from Medical Images. HJAM Heijmans, JBTM Roerdink, eds. (invited paper, Proc. ISMM '98), Kluwer Computational Imaging and Vision Series: 139-150.

Morse BS, SM Pizer, CA Burbeck (1994). General shape and specific detail: Context-dependent use of scale in determining visual form. Proc. Second International Workshop on Visual Form: 374-383, World Scientific, Singapore.

Morse BS, SM Pizer, DS Fritsch (1994). Robust object representation through object-relevant use of scale. Medical Imaging '94: Image Processing, SPIE 2167: 104-115.

Pizer SM, Tutorial: Multiscale geometric image analysis, Three Dimensional Biomedical Imaging. First IEEE - EMBS International Summer School, July 2-10, 1994. France.

Pizer SM, CA Burbeck, JM Coggins, DS Fritsch, BS Morse (1994). Object shape before boundary shape: scale-space medial axes, Presented at Shape in Picture, (NATO Advanced Research Workshop), Journal of Mathematical Imaging and Vision, 4: 303-313.

Pizer SM, CA Burbeck, DS Fritsch (1993). Human perception and computer image analysis of objects in images. Proc. Conference of the Australia Pattern Recognition Society (DICTA), I: 19-26.


Mathematics and Algorithms

Stetten G, SM Pizer (2000).  Medial-Guided Fuzzy Segmentation.  SL Delp, AM DiGioia, B Jaramaz (eds.).  Medical Image Computing and Computer-Assisted Intervention (MICCAI 2000), Lecture Notes in Computer Science, 1935: 226-235.

Fletcher T, SM Pizer, A Thall, AG Gash (2000).  Shape Modeling and Image Visualization in 3D with M-rep Object Models.  University of North Carolina Computer Science technical report TR01-004. Submitted to IPMI 2001.

Damon J (1999). Properties of ridges and cores for two-dimensional images. J. Math. Imag. & Vision 10:163-174.

Damon J (1998). Generic structure of two-dimensional images under Gaussian blurring. SIAM J. Appl. Math. 59:97-138.

Damon J (1997). Singularities with scale threshold and discrete functions exhibiting generic properties. Matemática Contemporânea 12:45-65.

Pizer SM, A Thall, D Chen (1999). M-Reps: A New Object Representation for Graphics. Submitted to ACM TOG.

Miller J, Furst J (1999). The Maximal Scale Ridge: Incorporating scale into the ridge definition. Scale Space Theories in Computer Vision, Proceedings of Second International Conference, Scale Space '99, M Nielsen, P Johansen, OF Olsen, J Weickert, eds., LNCS 1682: 93-104.

Stetten G (1998). Volume of Arbitrary shapes from Boundary Curvature and Medial Scale. Submitted to Graphical Models and Image Processing.

Stetten G, SM Pizer (1998). Automated Identification and measurement of Objects via Populations of medial Primitives, with Application to Real Time 3D Echocardiography. Information Processing in Medical Imaging (IPMI '99), Lecture Notes in Computer Science, Springer 1613: 84-97.

Stetten G, Pizer SM (1999). Medial Node Models to Identify and Measure Objects in Real-Time 3D Echocardiography. IEEE Transactions on Medical Imaging 18: (10) 1025-1034.

Furst JD, SM Pizer, (1997). Marching Optimal-Parameter Ridges: an Algorithm to Extract Shape Loci in 3D Images. In WM Wells, A Colchester, S Delp, eds., Medical Image Computing and Computer-Assisted Intervention- MICCAI '98. Lecture Notes in Computer Science 1496: 780-787, Springer, New York.

Aylward S, SM Pizer (1997). Continuous Gaussian Mixture Modeling. J Duncan, G Gindi (Eds.), Information Processing Medical Imaging, Lecture Notes in Computer Science, Springer 1230: 176-189. TR#96-044.

Aylward S, J Coggins, SM Pizer (1997). Continuous mixture modeling via goodness-of-fit-ridges. University of North Carolina Computer Science Department TR#97-97-038.

Chen D, SM Pizer, A State (1997). Volume rendering guided by multiscale medial models. University of North Carolina Computer Science Department TR#97-002.

Eberly D (1994), A differential approach to anisotropic diffusion, Chapter 14 in B.M. ter Haar Romeny, ed., Geometry-Driven Diffusion in Computer Vision, Kluwer Academic Publishers, Dordrecht, NL.

Eberly D, RB Gardner, BS Morse, SM Pizer, Scharlach C (1994). Ridges for image analysis. University of North Carolina Computer Science Department technical report TR93-055, Journal of Mathematical Imaging and Vision, 4: 351-371 (1994).

Fritsch DS (1992). Medial description of gray-scale image structure by gradient-limited diffusion. Visualization in Biomedical Computing 1992, R Robb, ed. SPIE 1808: 105-117.

Furst JD, SM Pizer, DH Eberly (1996). Marching cores: a method for extracting cores from 3D medical images. University of North Carolina Computer Science Department technical report TR96-003. Proc. Workshop on Mathematical Methods in Biomedical Image Analysis, IEEE Catalog #96TB100056: 124-130.

Furst JD, SM Pizer (1996). Marching ridges: a method for extracting m-dimensional ridges in n-dimensional spaces. TR#96-035.

Furst JD, RS Keller, JE Miller, SM Pizer (1997). Image loci are ridges in geometric spaces. Scale-Space Theory in Computer Vision: Proceedings of First International Conference, Scale-Space '97, LNCS 1252: 176-187.

Morse BS, SM Pizer, A Liu (1993). Multiscale medial analysis of medical images. Information Processing in Medical Imaging (IPMI '93), Barrett, H. H., Gmitro, A. F., eds. Lecture Notes in Computer Science, 687: 112-131, Springer-Verlag. In revised form in Image & Vision Computing,12: 327-338.

Morse BS,SM Pizer, DT Puff, C Gu (1996). Zoom-Invariant Vision of Figural Shape:Effects on Cores of Image Disturbances. Computer Vision and Image Understanding, 69: 72-86.

Pizer SM, DS Fritsch, P Yushkevich, V Johnson, E Chaney (1996). Segmentation, Registration, and Measurement of Shape Variation via Image Object Shape. IEEE Transactions on Medical Imaging, 18(10): 851-865.

Pizer SM, D Eberly, BS Morse, DS Fritsch (1996). Zoom-Invariant Figural Shape: The Mathematics of Cores. Computer Vision and Image Understanding (CVIU '98) 69: 55-71. University of North Carolina Computer Science Department TR#96-004.

Pizer SM, D Eberly, DS Fritsch (1994). Objects, Boundaries, and Medical Image Analysis. University of North Carolina Computer Science Department TR#94-069.

Wilson AG, VE Johnson, L Yu, SM Pizer. (1995). Scale-Space Image Models for Shape Deformation, Computing Science and Statistics, M.M. Meyer, J.L. Rosenberger (Eds.) Interface Foundation of North America, 27: 192-201.

Wilson A, VE Johnson (1996). Models for shape deformation, in Bayesian Statistics, 5, Proceedings of the fifth Valencia international meeting, edited by J. Berger, J. Bernardo, P. Dawid and A. Smith, Clarendon Press: Oxford: 801-808.

Wilson A, V Johnson, SM Pizer, DS Fritsch, L Yu, E Chaney (1996). Towards a Framework for Automated Image Analysis, Proc. 16th Leeds Annual Statistical Workshop: Image Fusion and Shape Variability Techniques: 13-20. Univ. of Leeds Press, Leeds, England.


Medially Based Image Analysis Methods

Aylward S, E Bullitt (2001).  A Comparison of Methods for Tubular Object Centerline Extraction.  Submitted to TMI.

Aylward S, E Bullitt (2001).  Noise, Singularities, and Scale in Generalized-Cylinder Centerline Extraction.  IPMI 2000 Submission.

Gerig, G , M Styner and J Lieberman (2001). Shape versus Size: Improved understanding of the morphology of brain structures. Proc. MICCAI 2001, to appear October 2001.

Joshi S, SM Pizer, PT Flecther, A Thall, G Tracton (2001).  Multi-scale 3-D Deformable Model Segmentation Based on Medial Description.  Information Processing in Medical Imaging 2001 (IPMI '01). Lecture Notes in Computer Science, Springer 2082: 64-77.

Pizer, S, S Joshi, PT Fletcher, M Styner, G Tracton, Z Chen (2001).  Segmentation of Single-Figure Objects by Deformable M-reps.  MICCAI 2001, to appear October 2001.

Yushkevich P, SM Pizer, S Joshi, JS Marron (2001).  Intuitive, Localized Analysis of Shape Variability.  Information Processing in Medical Imaging 2001 (IPMI '01). Lecture Notes in Computer Science, Springer 2082: 402-408.

Styner M, G Gerig (2001).  Medial models incorporating object variability for 3D shape analysis.  Information Processing in Medical Imaging 2001 (IPMI '01). Lecture Notes in Computer Science, Springer 2082: 502-516.

Styner M, G Gerig (2000).  Hybrid boundary-medial shape description for biologically variable shapes.  Accepted for publication in MMBIA 2000.

Aylward S, SM Pizer (1997). Continuous Gaussian Mixture Modeling.

Yushkevich P, D Fritsch, SM Pizer, E Chaney (1997). Towards Automatic, Model-Driven determination of 3D Patient Setup Errors in Conformal Radiotherapy. TR#99-007.

Aylward S, SM Pizer, E Bullitt, D Eberly (1996). Intensity Ridge for Tubular Object Segmentation and Description. University of North Carolina Computer Science Department technical report TR96-018. Proc. Workshop on Mathematical Methods in Biomedical Image Analysis, IEEE Catalog #96TB100056: 131-138.

Fritsch DS, SM Pizer, L Yu, V Johnson, EL Chaney (1997). Localiation and Segmentation of Medical Image Objects using Deformable Shape Loci. University of North Carolina at Chapel Hill Department of Radiation Oncology technical report. Information Processing in Medical Imaging 1997 (IPMI '97). Lecture Notes in Computer Science, Springer 1230: 127-140.

Fritsch DS, D Eberly, SM Pizer, MJ McAuliffe (1994). Stimulated Cores and their Applications in Medical Imaging. University of North Carolina at Chapel Hill Department of Radiation Oncology technical report. Information Processing in Medical Imaging 1995 (IPMI '95):365-368.

Fritsch DS, SM Pizer, EL Chaney, A Liu, S Raghavan, T Shah (1994). Cores for image registration. Medical Imaging '94: Image Processing, SPIE 2167: 128-142.

Fritsch DS, SM Pizer, JM Coggins (1991). A multiscale medial description of greyscale image structure. Advances in Intelligent Robotic Systems, SPIE.

Fritsch DS, SM Pizer, B Morse, DH Eberly, A Liu (1994). The multiscale medial axis and its applications in image registration. University of North Carolina Computer Science Department technical report TR93-058, Pattern Recognition Letters, 15: 445-452.

Fritsch DS, Yu Liyun, V Johnson, M McAuliffe, SM Pizer, E Chaney (1996). A Probabilistic Approach Using Deformable Organ Models for Automatic Definition of Normal Anatomical Structures For 3d Treatment Planning, Proc. ASTRO.

Liu A, E Bullitt, SM Pizer (1996). 3D/2D Registration Using Cores of Tubular Anatomical Structures as a Basis. University of North Carolina Computer Science Department TR#96-053.

Liu A, SM Pizer, D Eberly, B Morse, J Rosenman, E Chaney, E Bullitt, V Carrasco (1994). Volume registration using the 3D core. Visualization in Biomedical Computing '94, SPIE 2659: 217-226.

McAuliffe M, D Eberly, DS Fritsch, EL Chaney,SM Pizer,(1996). Scale-Space Boundary Evolution Initialized by Cores. Visualization in Biomedical Computing, KH Hvhne, R Kikinis, eds. Lecture Notes in Computer Science, Springer, 1131: 173-182.

Pizer SM, PT Fletcher, Y Fridman, DS Fritsch, AG Gash, JM Glotzer, S Joshi, A Thall, G Tracton, P Yushkevich, EL Chaney, (2000). Deformable M-Reps for 3D Medical Image Segmentation. Submitted for publication to MedIA.

Pizer SM, E Bullitt, A Liu (1995). 3D Image-guided surgery via registration of intraoperative and preoperative images. Keynote paper Conf. on Interactive Technology in Surgery and Medicine, Leeds, U.K. TR#95-040.

Pizer SM, DS Fritsch, BS Morse, D Eberly, A Liu (1993). Multiscale medial axis approaches for object definition and registration in medical images. Proc. International Conference on Volume Image Processing: 1-4. Department of Radiology, University of Utrecht, The Netherlands.

Pizer SM, S Murthy, DT Chen (1994). Core-based boundary claiming. Medical Imaging '94: Image Processing, SPIE 2167: 151-159.

Pizer SM, DS Fritsch, V Johnson, EL Chaney,(1996). Segmentation, registration, and measurement of shape variation via image object shape. University of North Carolina Computer Science Department technical report TR96-020. Tutorial notes, Visualization in Biomedical Computing '96.

Puff DT, D Eberly, SM Pizer (1994). Object-based interpolation via cores. Medical Imaging '94: Image Processing, SPIE 2167: 143-150.


Clinical Uses of Medially Based Image Analysis

Bullitt E, S Aylward, A Liu, J Stone, SK Mukherji C Coffey, G Gerig, SM Pizer (1999). 3D Graph Description of Intracerebral Vasculature from Segmented MRA and Tests of accuracy by Comparison with X-ray Angiograms. Information Processing in Medical Imaging (IPMI '99), Lecture Notes in Computer Science, Springer 1613: 308-321

Liu A, E Bullitt, SM Pizer (1998). 3D/2D registration via skeletal near projective invariance in tubular objects. In WM Wells, A Colchester, S Delp, eds., Medical Image Computing and Computer-Assisted Intervention- MICCAI '98. Lecture Notes in Computer Science 1496: 952-963, Springer, New York.

Bullitt E, M Soltys, J Chen, JR Rosenman, SM Pizer (1996). 3D reconstruction of intracranial vessels from biplane projection views. J Neurosci Methods,66: 13-22.

Bullitt E, A Liu, SM Pizer (1997). Three-dimensional reconstruction of curves from pairs of projection views in the presence of error. I. Algorithms. J Medical Physics 24:(11) 1671-1678.

Bullitt E, A Liu, SM Pizer, (1997). Three-dimensional reconstruction of curves from pairs of projection views in the presence of error. II Analysis of error. J Medical Physics 24:(11) 1671-1678.

Bullitt, E, A Liu, SM Pizer (1997). Methods of displaying intracerebral vascularanatomy, Am J. Neuroradiol. 18: 417-420 (1997).

Bullitt E, A Liu, S Aylward, SM Pizer (1997) Reconstruction of the intracerebralvasculature from MRA and a pair of projections views, IPMI '97 Lecture Notes in Computer Science, eds., by J. Duncan and G Gindi (Springer-Verlag, Berlin, 1997): 537-542.

Bullitt E, Liu A, Aylward S, Coffey C, Stone J, Mukherji S, Muller K, Pizer S (1999). Registration of 3D cerebral vessels with 2D digital angiograms: Clinical evaluation. Academic Radioloy 6: 539-546.

Fritsch DS, EL Chaney, A Boxwala, MJ McAuliffe, S Raghavan, A Thall, J Earnhart,(1995). Core-based portal image registration for automatic radiotherapy treatment verification. University of North Carolina at Chapel Hill Department of Radiation Oncology technical report International Journal of Radiation, Oncology, Biology, Physics. (special issue on Conformal Therapy), 33 (5): 1287-1300.

Fritsch, DS, EL Chaney, S Raghavan, A Boxwala, M. J. McAuliffe, JD Earnhart (1995). Evaluation of the accuracy of an automatic portal image registration method. Proc. ASTRO '95.

Liu A, E Bullitt, SM Pizer (1997). Surgical Instrument Guidance Using Synthesized Anatomical Structures. J Troccaz, E Grimson, R Mosges (Eds.), CVRMed-MRCAS '97, Lecture Notes in Computer Science, Springer 1205: 99-108.

Clary GJ, SM Pizer, DS Fritsch, JR Perry (1997). "Left ventricular wall motion tracking via deformable shape loci," In CAR International Symposium and Exhibition, Eds. H. U. Lemke, M. W. Vannier, and K. Inamura, Amsterdam: Elsevier Science B. V., 1997, 271-276.


Graphics

Chen D, SM Pizer, T Whitted (1998). Using Multiscale Medial Models to Guide Volume Visualization. University of North Carolina Computer Science technical report TR99-014. Submitted to IEEE Visualization.

Pizer SM, A Thall, Chen DT, (1997). Volume Rendering by Multiscale Methods. TR#-xx.

Thall A, SM Pizer, P Thomas Fletcher (1999). Deformable Solid Modeling using Sampled Medial Surfaces: A Multiscale Approach. TR#00-005.


Human Vision

Burbeck CA, SM Pizer (1994). Object representation by cores: Identifying and representing primitive spatial regions. University of North Carolina Computer Science Department technical report TR94-048. Vision Research, 35(13): 1917-1930, 1995.

Burbeck CA, SM Pizer, BS Morse, D Ariely, G Zauberman J Rolland (1994). Linking object boundaries at scale: a common mechanism for size and shape judgments. University of North Carolina Computer Science Department TR#94-041.Vision Research, 36(3): 361-372, 1996.

Pizer SM, CA Burbeck (1994). Cores as the basis for object vision in medical images. Medical Imaging '94: Image Perception, SPIE, 2166: 191-198.

Pizer SM, CA Burbeck, JM Coggins (1991). Formation of image objects in human vision. Computer Assisted Radiology (Proc. CAR '91): 535-542. Springer-Verlag, Berlin.

Puff DT, SM Pizer (1994). Human vs. Vision Model Performance for a Medical ImageEstimation Task. University of North Carolina Computer Science Department TR#94-067.


Doctoral Dissertations

Chen D (1997). Volume Rendering Guided by Multiscale Medial Models. Ph.D. Dissertation, Department of Computer Science, University of North Carolina at Chapel Hill.

Cromartie R (1995). Structure-sensitive contrast enhancement: Development andevaluation. Ph.D. Dissertation, Department of Computer Science, University of North Carolina at Chapel Hill.

Eberly D (1994). Geometric Methods for Analysis of Ridges in N-Dimensional Images. Ph.D. Dissertation, Department of Computer Science, University of North Carolina.

Fritsch DS (1993). Registration of Radiotherapy Images using Multiscale Medial Descriptions of Image Structure. Ph.D. Dissertation, Department of Biomedical Engineering, University of North Carolina.

Liu A (1997). 3D/2D Registration and reconstruction in image-guided surgery.Ph.D. Dissertation, Department of Computer Science, University of North Carolina.

Morse BS (1995). Computation of Object Cores from Greyscale Images. Ph.D.Dissertation, Department of Computer Science, University of North Carolina.

Puff DT (1995). Human versus vision model performance for two medical image estimation tasks. Ph.D. Dissertation, Department of Biomedical Engineering, University of North Carolina at Chapel Hill.

Stetten G (1999). Automated Identification and Measurement of Cardiac Anatomy Via Statistical Analysis of Medial Primitives Ph.D. Dissertation, Department of Biomedical Engineering, University of North Carolina.

Wilson AG (1995). Statistical models for shapes and deformations. Ph.D. Dissertation, Institute of Statistics and Decision Sciences, Duke University, Durham, North Carolina.