MZ

FotoFirst NameLast NamePosition
Mykhaylo Andriluka People Detection and Tracking
Roland Angst Vision, Geometry, and Computational Perception
Tamay Aykut
Vahid Babaei
Pierpaolo Baccichet Distributed Media Systems
Volker Blanz Learning-Based Modeling of Objects
Volker Blanz Learning-Based Modeling of Objects
Martin Bokeloh Inverse Procedural Modeling
Adrian Butscher Geometry Processing and Discrete Differential Geometry
Renjie Chen Images and Geometry

Researcher


Dr. Michael Zollhöfer


Visual Computing, Deep Learning and Optimization

Name of Research Group: Visual Computing, Deep Learning and Optimization
Homepage Research Group: web.stanford.edu/~zollhoef
Personal Homepage: zollhoefer.com
Mentor Saarbrücken: Hans-Peter Seidel
Mentor Stanford: Pat Hanrahan
Research Mission: The primary focus of my research is to teach computers to reconstruct and analyze our world at frame rate based on visual input. The extracted knowledge is the foundation for a broad range of applications not only in visual effects, computer animation, autonomous driving and man-machine interaction, but is also essential in other related fields such as medicine and biomechanics. Especially, with the increasing popularity of virtual, augmented and mixed reality, there comes a rising demand for real-time low latency solutions to the underlying core problems.    My research tackles these challenges based on novel mathematical models and algorithms that enable computers to first reconstruct and subsequently analyze our world. The main focus is on fast and robust algorithms that approach the underlying reconstruction and machine learning problems for static as well as dynamic scenes. To this end, I develop key technology to invert the image formation models of computer graphics based on data-parallel optimization and state-of-the-art deep learning techniques.    The extraction of 3D and 4D information from visual data is highly challenging and under-constraint, since image formation convolves multiple physical dimensions into flat color measurements. 3D and 4D reconstruction at real-time rates poses additional challenges, since it involves the solution of unique challenges at the intersection of multiple important research fields, namely computer graphics, computer vision, machine learning, optimization, and high-performance computing. However, a solution to these problems provides strong cues for the extraction of higher-order semantic knowledge. It is incredibly important to solve the underlying core problems, since this will have high impact in multiple important research fields and provide key technological insights that have the potential to transform the visual computing industry. In summer 2019 Michael Zollhöfer joined Facebook.

Researcher

Name of Researcher
Joachim Giesen
Homepage of Research Group
First Name
Joachim
Last Name
Giesen
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wp.mpi-inf.mpg.de/mpc-vcc/files/2012/01/giesen.jpg
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Position
Learning of Geometry
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Former Groups
Research Mission
Learning of Geometry: Given samples obtained from a shape we want to learn some of its geometric and topological characteristics. A popular example that fits in this framework is surface reconstruction: to obtain a digital model of some solid one samples its surface, e.g., by using a laser range scanner, and applies a reconstruction algorithm to the sample that outputs a continuous model of the surface. In general shape sampling is a very powerful paradigm that does not only allow to compute digital models of shapes but also to simplify these models, to compute fingerprints for efficient retrieval in shape databases and to segment and partially match shapes. The latter application is particularly interesting in biological applications where a macromolecule is modeled as a union of balls that represent the molecule’s atoms. We are interested in data structures and algorithms for sample based geometry processing that provided some sampling condition holds give results with provable guarantees. A major challenge is posed by kinetic data sets, i.e., samples of shapes that move or deform over time. Motion is fundamental in many disciplines that model the physical world, such as robotics, computer graphics, or computational biology. Geometry of Learning: Some powerful machine learning techniques like support vector machines and spectral clustering are essentially geometric techniques. Support vector machines are mainly used in a supervised setting, i.e., the data come with labels and a classifier is computed from the labeled data. The classifier should generalize to data whose labels are not known in advance. Clustering is an example of unsupervised learning. Here the goal is to attach labels to the given data, i.e., the labels are not part of the input as it is the case in the supervised setting. Instead pairwise similarity/dissimilarity values are given. The goal is to assign labels such that data with the same label are similar and dissimilar otherwise. Geometry enters in support vector machines via the so called kernel trick that embeds the original data into some Hilbert space. In Hilbert space the the data can be processed by exploiting its geometry, e.g., by the fact that we can measure distances and angles. In spectral clustering the original data are embedded into some Euclidean space. The embedding is derived from the spectral properties of the pairwise similarity matrix, i.e., its eigenvalues and eigenspaces. Right now the embedding is not really well understood but in many applications it allows standard geometric clustering algorithms like the k-means algorithm to perform well on the embedded data. We hope to get a better understanding of the success but also of the limitations of these techniques by looking at the geometric and topological aspects of the corresponding embeddings.
mission_rtf
Name of Research Group
Learning of Geometry

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