Overview of Research

My early research was on numerical techniques for singularity and bifurcation analysis. Since the mid to late 1980s I have focused on computer vision, which is the study of how computers can begin to understand images and videos.

My recent research has been on several sub-topics within computer vision, a few highlights of which are listed below.

  • The estimation of the 3D shape of surfaces in the scene from various image cues, including image motion, shading, contour, and texture.
  • Image motion estimation and tracking.
  • The segmentation or grouping of image information into coherent parts.
  • Assembling image tokens into simple scene descriptions.

More details on these recent projects can be found by using the menu to the left, or the links in the table below.

Non-Rigid Structure from Motion
Grouped Triangles

Introduction: Non-Rigid Structure from Motion

Publication: Jonathan Taylor, Allan D. Jepson and Kiriakos N. Kutulakos, Non-Rigid Structure from Locally-Rigid Motion, Proc. Computer Vision and Pattern Recognition Conf., San Francisco, CA, 2010. PDF (5070KB)

Project Page: Non-Rigid Structure from Locally-Rigid Motion
Shape from Shading
SFS Icon

Introduction: Shape from Shading

Publication: Ady Ecker and A.D. Jepson, Polynomial Shape from Shading, Computer Vision and Pattern Recognition (CVPR), San Francisco, USA, June 2010. PDF (5280KB)

Benchmarking Image Segmentation
segmentation example

Introduction: Image Segmentation

Publication: Francisco J. Estrada and Allan D. Jepson, Benchmarking Image Segmentation Algorithms, Int. J. Computer Vision, Vol. 85, No. 2, 2009, pp.167-181. PDF (1306KB)

Shape from Texture
shape with square texture

Introduction: Shape from Texture

Publication: Ady Ecker, Allan D. Jepson, and Kiriakos N. Kutulakos, Semidefinite programming heuristics for surface reconstruction ambiguities, European Conference on Computer Vision (ECCV), Marseille, France, October 2008. PDF (2391KB)

Shape from Planar Contours
Yoda lines

Introduction: Shape from Planar Contours

Publication: Ady Ecker, Kiriakos N. Kutulakos and Allan D. Jepson, Shape from Planar Curves: A Linear Escape from Flatland Computer Vision and Pattern Recognition (CVPR), Minneapolis, USA, June 2007. PDF (855KB)

Contour Grouping
contour grouping example

Introduction: Contour Grouping

Publication: Francisco J. Estrada and A. D. Jepson, Robust Boundary Detection With Adaptive Grouping, 5th IEEE Workshop on Perceptual Organization in Computer Vision, NY, USA, 2006. PDF (1339KB)

Image Segmentation
segmentation example

Introduction: Image Segmentation

Publication: Francisco J. Estrada, A.D. Jepson and C. Chennubhotla, Spectral Embedding and Min-Cut for Image Segmentation, British Machine Vision Conference, London, U. K., 2004. PDF (1371KB)

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