Raif Rustamov: 2014 Networks of Shapes, Images, and Programs: The Power of Joint Data Analysis Workshop


Wednesday, April 16, 2014
Location: Fisher Conference Center, Arrillaga Alumni Center

"Shape Differences and Variability Analysis in Shape Collections"
9:45am - 10:15am


Comparing shapes is a fundamental operation in shape analysis and geometry processing, with many applications to computer graphics, including interactive shape design, shape search, and the organization of shape collections. In this talk, I will introduce a novel formulation for the notion of shape differences, aimed at providing detailed information about the location and nature of the differences or distortions between the two shapes being compared. Our difference operator is much more informative than just a scalar global shape similarity score, rendering it useful in a variety of applications where more refined shape comparisons are necessary. The approach is intrinsic and is based on a linear algebraic framework, allowing the use of many common linear algebra tools (e.g, SVD, PCA) for studying a matrix representation of the operator. The formulation enables a number of applications. For example, shape differences can be used to explore intrinsic variability in a collection of shapes, to track fine variations of shapes at a local level, and to introduce the concept of shape analogies.


Raif Rustamov is currently a Research Associate with the Geometric Computation group in the Computer Science Department at Stanford University. His research interests lie in developing effective and efficient algorithms for processing of, on, and between geometric data, where geometry is understood broadly as shape, proximity, and connectivity. Raif obtained his PhD in Applied and Computational Mathematics from Princeton University in 2005. Subsequently, he worked at Purdue and Drew Universities. Raif has won several recognitions, including a best paper award at the Symposium on Geometry Processing (SGP) and a best paper runner up award at the Machine Learning and Interpretation in Neuroimaging (MLINI) NIPS workshop. His work on shape differences was one of the five papers featured in SIGGRAPH 2013 Technical Papers Preview.